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 cyan-green, and the back is dark brown.
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 cyan-green.

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 color.

turn: 2
modality: text
input: To transform this square sheet into an isosceles right triangle with just one single fold, which folding method should you use?
Options:
A. Fold it in half horizontally.
B. Fold it along one of its diagonals.
C. Fold it in half vertically.
D. Fold it by bringing one corner to the midpoint of the opposite side.
E. None of the above.
output: answer: B

turn: 3
modality: image
input: Based on the correct 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.

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

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

The background, table texture, and other irrelevant elements are completely consistent with the `Turn 1 output image`.

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

turn: 5
modality: image
input: Please generate the following scenario separately: After making the cut described in Turn 4 and removing the small square (area = 1/4 of the original), the remaining paper is fully unfolded, 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 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 remains consistent with the original square from Turn 1.

The dominant visible color of the paper is light cyan-green (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.

The background and table texture are completely consistent with the `Turn 1 output image`.