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 gray, and the back side is dark blue.
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, specifically light gray.

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 table texture, providing contrast 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 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 the square in half by bringing two adjacent corners together.
E. None of the above.
output: answer: B

turn: 3
modality: image
input: Based on the previous selection, please depict the paper after performing that single valley fold and pressing it flat, without lifting or flipping the paper completely. The paper should remain lying flat on the table.
output: evaluation_points: 1. The overall shape 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 dark blue (the back side color).

4. The background, table 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, fold it again 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's area, 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 line 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 (which has 1/4 the area of the original square), completely unfold the remaining paper. Show it lying flat on the table, face up, in its fully opened state.
output: evaluation_points: 1. The unfolded shape is a square frame: a large square with a smaller square hole missing from 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.

4. The primary visible color of the paper is light gray (the front side color).

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 table texture are completely consistent with Turn 1.