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 side of the paper is light cyan, and the back side is dark red.
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'.

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

4. All four edges of the square are aligned horizontally or vertically, not at an angle.

5. The background is a simple table texture that contrasts with the paper color.

turn: 2
modality: text
input: To transform this square sheet into an 'isosceles right triangle' with just a single fold, which folding method should you use?
Options:
A. Fold along a vertical line through the center.
B. Fold along a horizontal line through the center.
C. Fold along one of the square's diagonals.
D. Fold the paper in half by bringing two opposite corners together.
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the previous selection, perform that single valley fold (without lifting or flipping the paper completely) and flatten it. The paper should remain lying flat on the table.
output: evaluation_points: 1. The overall shape 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.

3. The dominant visible color is 'dark red' (the back side).

The background, table 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 (without flipping the paper), fold it again along a line perpendicular to the triangle's hypotenuse and flatten it. 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 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: Generate the following 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. It should be restored to a flat, face-up, square state.
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. 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 remains essentially the same as in Turn 1.

The dominant visible color on the paper is 'light cyan' (the front side), 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 paper shows two clear, perpendicular creases (forming a cross) that each run from one corner of the large square to the opposite corner. These creases correspond to the diagonal fold from Turn 3 and the perpendicular fold from Turn 4.