Domain: Paper_Crafting / cutting

turn: 1
modality: image
input: Generate a single square sheet of origami paper lying flat on a table, face-up, with all four edges aligned horizontally or vertically. The front side of the paper is off-white, and the back side is black.
output: evaluation_points: 1. The image shows a standard square sheet of paper at the center.

2. The visible side of the paper is a solid, off-white color.

3. The paper is perfectly flat with no visible creases.

4. All four edges of the square are aligned horizontally or vertically, not at an angle.

5. The background is a simple tabletop texture that contrasts with the paper color.

turn: 2
modality: text
input: To transform this square sheet into an 'isosceles right triangle' using only a single fold, which folding method should you use?
Options:
A. Fold along a vertical line through the center.
B. Fold along a horizontal line through the center.
C. Fold along one of the square's diagonals.
D. Fold one corner to the opposite corner, but not along the diagonal.
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the previous selection, please depict the paper after performing that single valley fold (without lifting or flipping the paper entirely) and pressing it flat. The paper should remain lying on the table.
output: evaluation_points: 1. The overall shape of the paper is now an isosceles right triangle.

2. The length of the triangle's legs is equal or very close to the side length of the original square from Turn 1.

The primary visible color is black, consistent with the back side of the paper as specified in Turn 1.

The background, table texture, and other unrelated elements are identical to the Turn 1 output image.

turn: 4
modality: text
input: Now, starting from the folded isosceles right triangle in Turn 3, do not flip the paper. Fold it again along a line perpendicular to the triangle's hypotenuse and press it flat. Then, make a single straight cut. If you want the cut piece to be a small square with an area equal to 1/4 of the original square, where should you make the cut?
Options:
A. Cut along a line parallel to the triangle's leg, starting from the midpoint of the hypotenuse.
B. Cut along the current fold line (the perpendicular to the hypotenuse).
C. Cut along a line parallel to the hypotenuse, positioned at the triangle's midline.
D. Cut along a line from the right angle vertex to the midpoint of the hypotenuse.
E. None of the above.
output: answer: C

turn: 5
modality: image
input: Please generate the following separately: After performing the cut described in Turn 4 and removing the small square (area = 1/4 of the original), completely unfold the remaining paper. It should be returned to a flat, face-up, square state.
output: evaluation_points: 1. The unfolded shape is a square frame: a large square with a smaller square hole at its exact center.

2. The edges of the central square hole are parallel to the edges of the large outer square. The side length of the hole is approximately half the side length of the large square.

3. The overall side length of the large square frame remains essentially the same as in Turn 1.

4. The primary visible color of the paper is off-white (the front side).

The primary visible color of the paper is off-white, consistent with the front side of the paper as specified in Turn 1.

6. The background and table texture are identical to Turn 1.