Domain: Paper_Crafting / cutting

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

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

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 tabletop texture that contrasts with the paper's 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 be used?
Options:
A. Fold along a line connecting the midpoints of two opposite sides.
B. Fold along one of the square's diagonals.
C. Fold along a line parallel to one side, dividing the square into two rectangles.
D. Fold by bringing one corner to the opposite corner, but not along the diagonal.
E. None of the above.
output: answer: B

turn: 3
modality: image
input: Based on the selection from the previous round, please depict the paper after completing that single valley fold and pressing it flat, without lifting or flipping the paper entirely. 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 original square from Turn 1.

3. The primary visible color is the back side color, 'dark green'.

4. The background, tabletop texture, and other irrelevant elements are completely consistent with Turn 1.

turn: 4
modality: text
input: Now, starting from the folded isosceles right triangle in Turn 3, without flipping the paper, make another fold along the 'perpendicular to the hypotenuse' and press it flat. Then, perform a single straight-line cut. To obtain a small square with an area equal to 1/4 of the original square after cutting, where should the cut be made?
Options:
A. Cut along the line formed by the new fold (the perpendicular to the hypotenuse).
B. Cut along the current triangle's median line that is parallel to its hypotenuse.
C. Cut along one of the triangle's legs (the original square's sides).
D. Cut along a line from the right angle vertex to the midpoint of the hypotenuse.
E. None of the above.
output: answer: B

turn: 5
modality: image
input: Please generate 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. Show it 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 hole's side length is approximately half the side length of the large square.

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

4. The primary visible color on the paper's face is 'light sky blue'.

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 completely consistent with Turn 1.