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 blue, and the back side is dark orange.
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 light blue color.

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

4. All four edges of the square are aligned horizontally or vertically, not tilted.

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 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 by bringing two opposite edges together.
D. Fold along a line connecting a corner to the midpoint of the opposite side.
E. None of the above.
output: answer: B

turn: 3
modality: image
input: Based on the previous choice, please depict the paper after performing that single valley fold and pressing it flat. The paper should remain lying on the table without being fully lifted or flipped over.
output: evaluation_points: 1. The overall outline 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.

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

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

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 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 current midsegment of the triangle that is parallel to its hypotenuse.
C. Cut along the line connecting the right angle to the midpoint of the hypotenuse.
D. Cut along the line that is the angle bisector of the triangle's right angle.
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 (area = 1/4 of the original), completely unfold the remaining piece. Show it lying flat on the table, face-up, in its final square shape.
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 remains essentially the same as in Turn 1.

The dominant visible color on the paper is light blue (the front side color 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 result from the folds performed in Turn 3 (along a diagonal) and Turn 4 (perpendicular to the hypotenuse).