Domain: Paper_Crafting / cutting

turn: 1
modality: image
input: Generate a square sheet of origami paper lying flat on a table, face-up, with all four sides aligned horizontally or vertically. The front of the paper is light yellow, and the back is dark blue.
output: evaluation_points: 1. The image centers on a standard square sheet of paper.

2. The visible side of the paper is a solid light yellow color.

3. The paper is flat and has no creases.

4. All four edges of the paper are aligned horizontally or vertically, not tilted.

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 line connecting the midpoints of two opposite sides.
B. Fold along one of the square's diagonals.
C. Fold the paper in half horizontally.
D. Fold the paper in half vertically.
E. None of the above.
output: answer: B

turn: 3
modality: image
input: Based on the previous choice, please depict the paper after performing that single valley fold and pressing it flat, without lifting or flipping the paper completely. The paper should remain lying flat on the table.
output: evaluation_points: 1. The overall outline 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 square from Turn 1.

The primary visible color is dark blue (the back color of the paper, as specified in Turn 1).

The background, tabletop texture, and other irrelevant 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, without flipping 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 the triangle's hypotenuse.
B. Cut along the line parallel to the triangle's hypotenuse that runs through its midpoint (the triangle's midsegment).
C. Cut along the triangle's altitude from the right angle to the hypotenuse.
D. Cut along the triangle's leg.
E. None of the above.
output: answer: B

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), fully unfold the remaining piece so it lies flat as a square again, face-up.
output: evaluation_points: 1. The unfolded shape is a square frame: a large square with a small square hole in its exact center.

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

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

The primary visible color of the paper is light yellow (the front color of the paper, as specified in Turn 1).

5. The paper shows two clear, perpendicular creases (forming a cross) that each run from one corner of the large square to the opposite corner.

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