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 perfectly horizontal or vertical. The front side of the paper is cream white, and the back side is wine red.
output: evaluation_points: 1. The image shows a standard square sheet of paper at its center.

2. The visible side of the paper is a solid color, specifically cream white.

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

4. All four edges of the square are aligned 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 of paper into an 'isosceles right triangle' with just 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 choice from the previous turn, please depict the paper after performing that single valley fold and pressing it flat. The paper should remain lying flat on the table without being picked up or flipped over.
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.

3. The dominant visible color is wine red (the back side of the original paper).

4. The background, table texture, and other non-essential elements are identical to Turn 1.

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. 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 triangle's hypotenuse.
B. Cut along the triangle's altitude from the right angle to the 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: Please generate the following separately: After performing the cut described in Turn 4 and removing the small square (which is 1/4 the area of the original), completely unfold the remaining paper. It should be lying flat, face up, in its square form.
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 side length of the large outer square is consistent with the original square from Turn 1.

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

5. The paper shows two clear, perpendicular creases (forming a cross) that extend from opposite corners of the large square.

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