id stringlengths 29 29 | question_interleave listlengths 2 2 | question_images images listlengths 1 1 | solution_interleave listlengths 2 10 | solution_images images listlengths 1 5 | answer stringclasses 5
values | options stringclasses 1
value | knowledge stringclasses 1
value | subknowledge stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|
paperfold_level_1_puzzle_0001 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper was folded in half horizontally, bringing the top edge down to meet the bottom. To reverse this step, we unfold the flap upwards across the horizontal crease. The single hole currently visible will mirror across this fold line, creating a second hole symmetrically positioned in th... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0002 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state has the right edge of the paper folded inwards to the center, with a hole punched through this folded flap. Reversing this vertical fold opens the flap to the right. This action reflects the hole horizontally across the vertical crease, producing a symmetric hole near the ... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0003 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper currently has a folded flap in the top-right corner created by a negative diagonal crease. Reversing this fold restores the paper to a complete square. Because the single hole located in the bottom-left is outside the area of the folded flap, it is not affected by the unfold. Cons... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0004 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The hole is punched in a single-layer region on the left side of the paper, completely avoiding the folded right flap. Because the hole does not intersect the folded portion, reversing this vertical fold does not duplicate or reflect the hole. Unfolding the flap back to the right simply res... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0005 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state features a folded flap in the bottom-left corner along a negative diagonal axis. The existing hole is situated in the bottom-right corner, which does not overlap with the folded layers. Consequently, reversing this fold does not duplicate the hole, leaving the single hole ... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0006 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>A positive diagonal fold is present at the top-left corner of the paper. The hole is located in the bottom-right area, entirely outside the bounds of the folded region. Because the punch did not pass through this folded layer, reversing the positive diagonal fold does not mirror or duplicat... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0007 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the bottom-left corner folded along a negative diagonal, with a single hole located outside this folded region. Because the hole is not on the folded flap, no reflection or copying occurs during this step. Reversing this diag_neg fold simply unfolds the corner to res... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0008 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded in half with a vertical crease along its left edge. Reversing this vertical fold reflects the visible hole across the crease onto the newly revealed left half. This creates a symmetrical pair of horizontally aligned holes in the upper region, completing the unf... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0009 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a vertically folded flap on the left side of the visible paper, with a hole punched through the layers. Reversing this vertical fold opens the flap outwards to the left. By the principle of reflection symmetry, the existing hole is mirrored across the vertical cre... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0010 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a vertical crease on the left, indicating a flap was folded over to the right. The visible hole sits inside this double-layered folded region. Reversing this vertical fold opens the flap back to the empty left side. The top layer's hole reflects across the vertica... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0011 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state reveals a horizontal fold where the bottom section of the paper was folded upwards, leaving the top edge of the flap clearly below the top-left hole. Unfolding this flap downwards applies reflection symmetry to any holes within the folded region across the horizontal creas... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0012 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the vertical fold unfolds the flap back to the left side of the paper. As the paper opens, the existing hole is symmetrically reflected across the vertical fold line. This reveals a corresponding second hole on the left, horizontally aligned with the original.</think>\nvertical",
... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0013 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The single hole is located in the upper section of the paper, clearly above the triangular flap created by the positive diagonal fold. Because the hole does not intersect this folded layer, it only pierces the single base sheet of paper. Reversing the fold simply unfolds the flap to restore... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0014 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the horizontal fold upward restores the top section of the paper. The hole is located in the bottom region, entirely outside the area covered by the folded flap. Therefore, the hole only passed through a single layer of paper, and no new holes are generated during this final unfol... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0015 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper occupying the top half of the original square, indicating the bottom half was folded up. Reversing this horizontal fold involves unfolding the paper downwards along the central crease. By reflection symmetry, the hole in the upper right quadrant will be mir... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0016 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper was initially folded downwards along a horizontal line, so the final step is to unfold it upwards to restore the full square. Reversing this horizontal fold reflects the existing hole across the top crease, producing a second hole symmetrically in the upper right section of the pa... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0017 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded with a horizontal crease visible, occupying the bottom half of the original square. A single hole is located in the upper-right area of this folded section. Reversing the horizontal fold unfolds the bottom half upward over the crease. This reflection... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0018 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state features a folded flap in the bottom-left corner along a negative diagonal crease. The existing hole is situated on the right side of the paper, entirely outside this folded region. Consequently, reversing this fold restores the corner without duplicating the hole, leaving... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0019 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The unfolding operation reverses a diag_pos fold in the top-left corner of the paper. Since the single punched hole is located in the bottom-right quadrant, it lies completely outside the area of the folded flap. Because the hole does not pierce this folded layer, reversing the fold does no... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0020 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded into a triangle along the positive diagonal. Unfolding across this diagonal reflects the single hole in the bottom-right region into the top-left region. This produces a symmetrical pair of holes and reveals the fully unfolded square.</think>\ndiag_p... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0021 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the horizontal fold unfolds the top flap of the paper upwards. The horizontal line across the middle of the current shape indicates the bottom edge of this folded flap. Because the hole is located below this edge, it only pierced a single layer of paper and is not subject to refle... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0022 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded into a horizontal rectangle at the bottom, containing a single hole. Reversing the horizontal fold along the top edge of this rectangle unfolds the paper upwards to its full square shape. This action reflects the existing hole across the horizontal c... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0023 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded in half along the top-left to bottom-right diagonal. Unfolding across this diagonal axis reverses the initial fold. The single hole in the bottom-left half is reflected across the crease, producing a corresponding hole in the upper-right quadrant of the fully o... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0024 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The final step is to unfold the top-right corner, which was folded inward along a negative diagonal line. The hole in the lower-right quadrant lies completely outside the area of this folded flap. Because the hole does not intersect the folded section, reversing the fold does not duplicate ... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0025 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a single hole in the top-left area, while the top-right corner is folded along a negative diagonal. Because the hole is positioned completely outside the folded flap, it only passes through a single layer of paper. Reversing this negative diagonal fold unfolds the co... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0026 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>In the current state, the paper is folded vertically and occupies the left half of the square area. Reversing this fold unfolds the paper to the right across the central vertical crease. Through reflection symmetry, the hole visible on the left half is mirrored onto the newly unfolded right... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0027 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the diagonal fold in the bottom-left corner unfolds the flap along its axis with a negative slope. Since the punched hole is located completely outside of this folded section, it does not intersect the multiple layers of the flap. Consequently, the hole is not duplicated by reflec... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0028 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a single hole in the bottom-left quadrant, while the folded flap occupies the top-right corner. Reversing this diag_neg fold opens the top-right flap outwards. Because the existing hole does not overlap with the folded section, it is not reflected across the fold lin... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0029 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>In the current state, the paper features a vertical fold on the right side and a single hole located on the far left. Because the hole lies completely outside the area covered by the folded right flap, it only passes through a single layer of paper. Reversing this vertical fold outward simp... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0030 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper was originally folded in half from left to right, establishing a vertical crease along the centerline. Reversing this vertical fold flips the top layer back to the left side to reconstruct the full square. This unfolding action reflects the current hole across the vertical crease,... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0031 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a vertical fold where the right section of the paper was folded leftwards, as seen by the visible flap edge. Reversing this fold opens the top flap back to the right, reflecting the existing hole across the vertical crease located at the right edge of the folded p... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0032 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded in half vertically, occupying only the right side of the frame. Reversing this fold opens the flap back to the left to restore the full square. During this unfold, the single hole is reflected across the central vertical crease, producing a second symmetrically... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0033 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded horizontally in half, with a hole located in the top-left corner. Unfolding the bottom layer downwards reverses this fold, reflecting the hole across the central horizontal crease. This reflection symmetry correctly propagates the hole to the bottom-left corner... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0034 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the vertical fold opens the paper back to the left, restoring its full square shape. This action horizontally reflects the punched hole across the central vertical fold line, producing a symmetric hole on the left half of the paper.</think>\nvertical",
"index": 0,
"type": ... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0035 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a vertical fold where the left section of the paper was folded to the right, with the flap's edge visible as a vertical line. The punched hole is located on the far right, in a single-layer region that was not overlapped by this flap. Because the hole lies outside th... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0036 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the positive diagonal fold restores the top-left corner of the paper. Because the existing hole lies in the bottom-right area and completely outside the folded flap, reflecting the layers across the fold line generates no new holes, leaving the single hole in its current position.... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0037 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a single hole near the bottom edge, which is located outside the region covered by the top-right folded flap. Reversing the negative diagonal fold unfolds this flap without intersecting the hole. As a result, no new holes are created by reflection, leaving just the s... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0038 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a triangular flap folded over the main body of the paper along a negative diagonal crease. Reversing this fold by opening the flap towards the top-right corner reflects the visible hole across the crease line. This reflection produces a second hole symmetrically plac... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0039 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a single hole positioned outside the boundaries of the folded bottom-right flap. Reversing the diag_pos fold opens this flap downwards and to the right, but because the hole does not overlap with the folded region, it is not duplicated or reflected. Consequently, the... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0040 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the vertical fold unfolds the flap to the left across the central vertical crease. The existing hole is mirrored across this crease, creating a symmetrically placed hole on the left half. This completes the unfolding sequence and restores the paper to its original square shape.</t... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0041 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded vertically onto its left half, with a hole punched in the visible layer. Reversing this vertical fold unfolds the paper to the right, reflecting the hole across the central vertical crease. This horizontal reflection symmetry correctly propagates the... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0042 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded along the positive diagonal from bottom-left to top-right. Unfolding this fold reflects the existing hole in the bottom-right half across the diagonal axis. As a result, the single hole on the right side is mirrored to a corresponding position in the... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0043 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded into the right half of the square, with a hole near the top-left of this folded section. Reversing the vertical fold opens the paper to the left, reflecting the existing hole symmetrically across the central vertical axis. This places a corresponding... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0044 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the bottom right corner folded along a positive diagonal line. The existing hole is located completely outside the boundary of this folded flap. Therefore, reversing this fold by opening the corner does not reflect or duplicate the hole, leaving only the single origi... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0045 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state features a hole in the upper right portion of the folded paper. Reversing the horizontal fold opens the top flap upwards along the top horizontal edge. This action reflects the existing hole across the fold line, resulting in a second hole symmetrically positioned above th... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0046 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The visible paper occupies the bottom half of the original square area, indicating that the top half was folded down. Reversing this horizontal fold by flipping the flap upwards across the center midline will reflect the existing hole in the bottom-left across the fold, propagating it to th... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0047 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded along a negatively sloped diagonal, hiding the top-right half of the square. Unfolding across this diagonal crease reflects the single hole in the lower-left triangle into the upper-right area. This produces a final square with two holes symmetrically placed ac... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0048 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a single hole in the bottom-right quadrant of the paper, with the top-left corner folded along a positive diagonal crease. Because the folded layer in the top-left does not cover the location of the hole, unfolding this section will not duplicate or alter the hole pa... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0049 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The final step reverses a horizontal fold, unfolding the paper downwards. The single hole currently visible in the top half is mirrored across the horizontal center crease. This reflection propagates the hole to the bottom half, resulting in two vertically aligned holes centered in the full... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0050 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a hole on the left side of the vertically folded paper. Reversing this vertical fold opens the flap horizontally. By reflection symmetry across the vertical fold line, the hole propagates to a symmetrically equivalent position on the newly unfolded layer.</think>\... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0051 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current paper state has its bottom-right corner folded along a positive diagonal line. The visible hole is situated in the lower-left area, completely outside the layers of this folded corner. Reversing this fold solely affects the empty corner flap, meaning no new holes are propagated.... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0052 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the horizontal fold unfolds the paper downwards across the central horizontal axis. This action mirrors the existing hole in the top-left across the horizontal crease, generating a corresponding hole in the bottom-left. As this is the final step, these reflection coordinates estab... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0053 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a single hole centrally located on the folded paper. Reversing the horizontal fold requires unfolding the flap upwards across the top horizontal crease. This action reflects the hole symmetrically into the upper section, resulting in two vertically aligned holes o... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0054 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper was initially folded upwards in half, leaving the folded paper in the top half of the area. Reversing this horizontal fold involves unfolding the layer downwards across the bottom edge of the current rectangle. This reflects the single punched hole symmetrically across the horizon... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0055 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the vertical fold unfolds the paper to the left across its left edge. This horizontal reflection mirrors the existing hole across the fold axis. As a result, the hole located in the lower-left of the folded section is duplicated to a symmetric position on the newly unfolded left h... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0056 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state features a horizontal fold where the top portion of the paper is folded down. The punched hole is located strictly below the visible edge of this folded flap, meaning it only pierces the single back layer of the paper. Consequently, when this horizontal fold is reversed, t... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0057 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded in half along the diagonal from top-left to bottom-right. Unfolding across this diagonal reflects the single hole from the bottom-left region into the corresponding upper-right section. This final unfold reveals the fully opened square with two symmetrically po... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0058 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the vertical fold opens the folded left flap outwards to the left, restoring the full square. The existing hole is located on the far right, which is a single-layer region not covered by the folded flap. Because the hole does not lie on the flap, it does not undergo reflection sym... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0059 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a positive diagonal fold at the top-left corner. The existing hole is located on the right side of the paper, completely outside the region covered by the folded flap. Because the hole does not intersect the folded layer, reversing this diag_pos fold does not refl... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0060 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper has its top-left corner folded down along a positive diagonal crease. The existing hole is located on the right side of the paper, completely outside the region covered by the folded flap. Since the hole does not intersect the folded double-layer, reversing this fold does not refl... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0061 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded along the positive diagonal, with one hole visible in the bottom-right section. Reversing this fold unfolds the flap toward the top-left, which reflects the existing hole across the diagonal axis. Consequently, a second hole appears symmetrically in the upper-l... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0062 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the vertical fold unfolds the paper from the left half to the right half. This action reflects the existing hole symmetrically across the vertical crease, propagating the hole pattern to the newly exposed right side.</think>\nvertical",
"index": 0,
"type": "text"
},
{
... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0063 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The folded state reveals a single hole punched near the bottom edge, strictly below the horizontal edge of the folded flap. Since the hole is located in a single-layer region and does not pierce the folded top flap, reversing the horizontal fold does not reflect or duplicate the hole. Unfol... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0064 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the vertical fold on the left side of the paper unfolds the flap back to its original position. This action reflects the existing hole horizontally across the fold line. As a result, a new hole is generated symmetrically to the left of the fold, completing the final pattern.</thin... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0065 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the vertical fold opens the flap outwards to the right, restoring the paper to its full original width. The hole pierced through the double-layered section is reflected horizontally across the rightmost vertical fold line, creating a second corresponding hole symmetrically on the ... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0066 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>In the current state, the paper has a vertical fold where the left section is folded over to the right. The punched hole is located in the bottom right corner, completely outside the overlapping layers of the folded flap. Because the hole does not pass through the folded section, reversing ... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0067 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current unfolding state shows a single hole located outside the bottom-left folded flap. Reversing the negative diagonal fold of this corner does not affect the hole because it does not lie on the folded layers. Therefore, the hole is not mirrored, leaving just the original single hole ... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0068 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing this vertical fold flips the folded layer from the right side back to the left. Any holes piercing this unfolding layer will be reflected symmetrically across the central vertical axis, determining their final positions on the left half.</think>\nvertical",
"index": 0,
"ty... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0069 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a vertical fold where the left section of the paper was folded to the right, creating a visible edge in the middle. The existing hole is situated to the right of this edge, meaning it lies completely outside the overlapping layers of the folded flap. As a result, ... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0070 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays the paper folded in half horizontally with a single hole visible. Since the initial sequence shows the top half being folded downwards, reversing this horizontal fold by opening the flap upwards mirrors the existing hole across the top crease. This reflection crea... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0071 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the vertical fold opens the right flap outwards to restore the original square. Since the existing hole is located in the leftmost section of the paper—a single-layer region not covered by the folded flap—it is not subject to reflection symmetry across the fold line. Consequently,... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0072 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the negative diagonal fold restores the bottom-left corner of the paper. Because the existing hole in the upper-left region is positioned outside the area of the folded triangular flap, it does not pass through this folded layer. Consequently, no reflection occurs during this unfo... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0073 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a single hole near the left edge of the folded paper. Reversing the vertical fold flips the paper back to the left, reflecting the hole across the central vertical crease. This creates a symmetrically placed hole on the newly revealed left half, completing the unf... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0074 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded in half horizontally, with a hole located in the left section of the folded flap. Reversing this fold by opening the flap upwards reflects the hole symmetrically across the horizontal crease. Since this is the final unfold, it restores the full squar... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0075 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current folded state covers the top half of the original square, resulting from a horizontal fold upwards. To fully unfold the paper, a horizontal unfold downward is applied. This reflects the existing hole in the upper region across the horizontal midline, creating a second hole in the... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0076 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded in half horizontally, displaying a single hole on the left side of the visible bottom half. Unfolding the top layer upwards across the horizontal midline crease reflects this hole into the top half. This creates a second hole directly above the original one, co... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0077 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is folded along a vertical crease located on its right edge. Reversing this fold opens the paper to the right, which horizontally reflects the existing hole across the crease. This reflection symmetry properly propagates the hole to the newly revealed right half to complete the fi... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0078 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded in half horizontally, with a single hole located on the right side of the top half. Unfolding this downward reverses the horizontal fold along the center crease. This reflection mirrors the existing hole into the bottom half, resulting in two vertica... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0079 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded along the top-left to bottom-right diagonal, with one hole present in the bottom-left triangular half. Unfolding across this diagonal crease reflects the hole into the upper-right section of the paper. This final step reveals the complete square with two symmet... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0080 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state features a bottom-left corner folded along a negative diagonal. Because the existing hole is located completely outside the boundary of this folded flap, it is not affected by the unfolding process. Reversing this fold simply restores the bottom-left corner without duplica... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0081 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the positive diagonal fold at the bottom-right corner restores the full square. The existing hole is located in the upper portion of the paper, completely outside the area of the folded flap. Because the hole does not pass through these folded layers, no reflection occurs during t... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0082 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded with a vertical crease along its right edge and a single hole in the top-left. Reversing this vertical fold unfolds the flap horizontally to the right. By reflection symmetry across the fold line, the hole propagates to the corresponding position on ... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0083 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays the paper folded horizontally, with a single hole punched near the bottom edge of the visible top half. Reversing this horizontal fold unfolds the flap downwards across the midline. This action reflects the hole across the horizontal crease, producing a symmetrica... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0084 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current unfolding state shows the top half of the paper with a hole in its upper-left quadrant, indicating the bottom half is folded up. Reversing this horizontal fold opens the paper downwards. By reflection symmetry across the horizontal center crease, the existing hole propagates to ... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0085 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The single hole is located in the bottom-right section of the paper, entirely outside the area covered by the top-left folded flap. Because the hole does not pierce this folded layer, reversing the positive diagonal fold does not reflect or duplicate the hole. Consequently, the final unfold... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0086 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is currently folded into a triangle along the positive diagonal from bottom-left to top-right. Unfolding across this diagonal axis reflects the single hole from the bottom-right region to the top-left region. Since this is the only fold to reverse, these two holes form the final p... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0087 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a single hole positioned below the folded top-left corner. Because this hole does not lie within the boundaries of the folded flap, reversing the positive diagonal fold does not duplicate it through reflection. Therefore, the final unfolded paper retains only the ... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0088 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a single hole in the bottom-right corner and a folded flap in the top-right bounded by a negative diagonal crease. Unfolding this flap reverses the diag_neg fold, restoring the top-right corner of the paper. Because the existing hole is located well outside of the fo... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0089 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The final unfolding step reverses the positive diagonal fold in the top-left corner. The single hole is located near the bottom edge, well outside the boundaries of the folded flap. Since the hole does not overlap with the folded layer, it is not reflected across the crease, leaving exactly... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0090 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper folded in half horizontally. Reversing this fold opens the paper along the horizontal axis to restore the full square. As a result, the single hole on the visible layer is mirrored across the horizontal crease line, producing a corresponding, symmetrically ... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0091 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The hole is located near the bottom-center, which is entirely outside the area of the top-right folded flap. Because the hole does not intersect the layers of the negative diagonal fold, reversing this fold does not duplicate or reflect the hole. Consequently, the single hole simply remains... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0092 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>Reversing the diagonal fold in the top-right corner restores the full square. Because the single hole is located in the lower-left area, it does not intersect the folded flap and is not reflected across the fold line. Therefore, the hole remains in its original position.</think>\ndiag_neg",... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0093 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows the paper with its bottom half folded upwards to cover the top half. Reversing this horizontal fold unfolds the concealed layer downwards to restore the full square. Through reflection symmetry across the central horizontal fold line, the hole located in the top righ... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0094 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The hole is located in the bottom-left region, strictly below the horizontal edge of the folded top-left flap, indicating it was punched through only one layer of paper. Reversing the positive diagonal fold (diag_pos) reflects the flap back to its original top-left position. Since the folde... | C | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0095 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state displays a diagonal fold line extending from the bottom-left to the top-right. Unfolding this section reflects the existing hole across this diagonal crease. Consequently, the hole in the upper-left region is mirrored to the lower-right, completing the final symmetric patt... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0096 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>To fully unfold the paper, we reverse the fold that brought the top-right corner down, which lies along a negative diagonal axis. The existing hole is positioned near the bottom edge, falling entirely outside the region covered by this folded flap. Consequently, unfolding this corner does n... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0097 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a single hole near the center of the paper, completely outside the top-left folded flap. Because the hole does not lie on the folded layers, reversing this positive diagonal fold does not duplicate the hole. Thus, the final paper has only the single original hole in ... | D | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0098 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The paper is folded along a positive diagonal axis running from the bottom-left to the top-right corner. Reversing this fold reflects the existing hole across the diagonal line. This transfers a corresponding mirrored hole into the bottom-right section of the fully opened square.</think>\nd... | B | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0099 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state reveals a single hole on the right side of the paper. The fold to be reversed is a negative diagonal fold that restores the bottom-left corner. Since the existing hole does not overlap with this folded flap, it is not reflected across the fold line. Thus, the single hole r... | E | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold | ||
paperfold_level_1_puzzle_0100 | [
{
"content": "The image shows, in the first row, a sequence of folds performed on a square paper; the final image in that row shows one or more holes being punched through the folded paper. The second row shows five unfolded square papers with different hole patterns labeled A through E. Mentally unfold the pap... | [
{
"content": "<think>The current state shows a triangle folded along a positive diagonal axis extending from bottom-left to top-right. Reversing this fold means flipping the top-left section back down over this diagonal line. Because the hole is located in the bottom-right half, completely outside the region be... | A | ["A", "B", "C", "D", "E"] | PaperFold | PaperFold |
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