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 perfectly horizontal or vertical. The front of the paper is light beige, and the back is dark green.
output: evaluation_points: 1. A standard square piece of paper is centered in the image.

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

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' using only a single fold, which folding method should you use?

Options:
A. Fold it in half by bringing the top edge down to meet the bottom edge.
B. Fold it along one of its diagonals.
C. Fold it by bringing the left edge to meet the right edge.
D. Fold it by bringing one corner to meet the opposite corner along a line that is not a diagonal.
E. None of the above.
output: answer: B

turn: 3
modality: image
input: Based on the selection from the previous turn, please depict the paper after performing that single valley fold (without lifting or flipping the paper over completely) and pressing it flat. The paper should still be 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 dominant visible color is 'dark green' (the back of the paper).

4. The background, table texture, and other irrelevant elements are identical to Turn 1.

turn: 4
modality: text
input: Now, starting from the folded isosceles right triangle in Turn 3, and without flipping the paper over, perform a second fold 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 after cutting, where should you make the 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 midsegment parallel to the triangle's hypotenuse.
C. Cut along the altitude from the right angle to the hypotenuse.
D. Cut along one of the triangle's legs.
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 (which is 1/4 of the original area), completely unfold the remaining paper. It should be restored to a flat, square shape lying face up on the table.
output: evaluation_points: 1. The unfolded shape is a square frame: a large square with a smaller square hole cut out from its 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 overall side length of the large square frame is consistent with the original square from Turn 1.

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

The dominant visible color on the paper is 'light beige', matching the front side color specified in Turn 1.

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