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 of the paper is light orange, and the back is dark gray.
output: evaluation_points: 1. A standard square sheet of paper is centered in the image.

2. The visible side of the paper is a solid color matching 'light orange'.

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

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

5. The background is a simple, contrasting tabletop texture.

turn: 2
modality: text
input: To transform this square sheet into an 'isosceles right triangle' with just a single fold, which folding method should you use?
Options:
A. Fold along a vertical midline.
B. Fold along a horizontal midline.
C. Fold along one of the 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, perform that single valley fold (without lifting or flipping the paper entirely) and press it flat. The paper should remain lying on the table.
output: evaluation_points: 1. The overall shape is now an isosceles right triangle.

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

3. The dominant visible color is 'dark gray' (the back of the paper).

The background, table texture, and other non-paper elements are identical to Turn 1 output image.

turn: 4
modality: text
input: Now, starting from the folded isosceles right triangle (without flipping it over), fold it again along a line perpendicular to the hypotenuse and press it flat. Then, make a single straight cut. To obtain a small square with an area equal to 1/4 of the original square, where should you make the cut?
Options:
A. Cut along the new fold line you just made (the perpendicular to the hypotenuse).
B. Cut along the triangle's hypotenuse.
C. Cut along the triangle's median line that is parallel to the hypotenuse.
D. Cut along one of the triangle's legs.
E. None of the above.
output: answer: C

turn: 5
modality: image
input: Generate the following separately: After making 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 lying flat on the table, face-up, in its original square shape.
output: evaluation_points: 1. The unfolded shape is a square frame: a large square with a smaller square hole in 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.

The overall side length of the large square frame is consistent with the original square from Turn 1 output image.

4. The dominant visible color of the paper is 'light orange' (the front).

The dominant visible color of the paper is 'light orange' (the front), as specified in Turn 1.

The background and table texture are identical to Turn 1 output image.