draw a diagram with no line symmetry but rotational symmetry of order 3

To create a diagram with no line symmetry but rotational symmetry of order 3, we need to design a shape that looks the same after a rotation of \(120^\circ\) (or \(2\pi/3\) radians), but does not have any line of symmetry.

Here's a step-by-step description to draw such a diagram:

1. Draw an equilateral triangle.
2. Inside the triangle, draw three identical shapes (e.g., curved arrows) positioned at each vertex, pointing in the same rotational direction (clockwise or counterclockwise).
3. Ensure that these shapes do not mirror each other around any axis, maintaining rotational symmetry but breaking any line symmetry.

I will generate an image based on this description.

Let's create this diagram.

```json
{
  "prompt": "A diagram with no line symmetry but rotational symmetry of order 3: Start with an equilateral triangle. Inside the triangle, at each vertex, place a curved arrow shape pointing in the same direction (either all clockwise or all counterclockwise). Ensure the shapes are identical and positioned symmetrically around the triangle's center but do not mirror across any axis.",
  "size": "1024x1024",
  "n": 1
}
```

Would you like to see the detailed steps to create this diagram manually or prefer an explanation on why it has no line symmetry but rotational symmetry of order 3?

Learn how to create a diagram with rotational symmetry of order 3 and no line symmetry. Step-by-step guide with an equilateral triangle and curved arrows positioned at each vertex to achieve rotational symmetry without any line symmetry. Suitable for students in Grades 7-9.

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