In the concept of Fibonacci’s rotational symmetry, the relation that exists between the number of symmetry and the angle of rotation is:
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The higher the no. of symmetry, the greater the angle of rotation.
As the no. of symmetry increases, the angle of rotation decreases.
The smaller the no. of symmetry, the lower the angle of rotation.
As the no. of symmetry decreases, the angle of rotation also decreases.

In the context of Fibonacci's rotational symmetry, the correct relation between the number of symmetries and the angle of rotation is:

**As the number of symmetries increases, the angle of rotation decreases.**

This is because the angle of rotation is typically calculated by dividing 360 degrees by the number of symmetries. So, as the number of symmetries increases, each individual rotation becomes smaller.

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Here are 5 relative questions to expand on this:
1. What is Fibonacci's rotational symmetry, and how does it relate to the Fibonacci sequence?
2. How is the angle of rotation calculated in rotational symmetry?
3. Can the Fibonacci sequence be found in natural rotational symmetry, like in plants or shells?
4. How does rotational symmetry differ from other forms of symmetry, such as reflectional symmetry?
5. What other mathematical patterns are associated with the Fibonacci sequence?

**Tip**: Rotational symmetry is also called *cyclic symmetry* because the object looks the same after a certain angle of rotation.

In the concept of Fibonacci’s rotational symmetry, the relation that exists between the number of symmetry and the angle of rotation is: The higher the no. of symmetry, the greater the angle of rotation. As the no. of symmetry increases, the angle of rotation decreases. The smaller the no. of symmetry, the lower the angle of rotation. As the no. of symmetry decreases, the angle of rotation also decreases.

Explore how Fibonacci's rotational symmetry demonstrates the inverse relationship between the number of symmetries and the angle of rotation. Learn the key formula for calculating the angle of rotation and how it connects with Fibonacci patterns, suitable for students in Grades 9-12.

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