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The problem asks for the number of rotational symmetries of the Star of David (a six-pointed star formed by two overlapping equilateral triangles). 

### Step-by-Step Solution:

1. **Understanding the Shape**:
   - The Star of David is made of two equilateral triangles, overlapping to form a regular hexagram.
   - The figure has a six-fold rotational symmetry because it can be rotated around its center by multiples of 60 degrees and still look the same.

2. **Rotation Symmetries**:
   - **0 degrees**: The figure looks the same.
   - **60 degrees**: The figure looks the same.
   - **120 degrees**: The figure looks the same.
   - **180 degrees**: The figure looks the same.
   - **240 degrees**: The figure looks the same.
   - **300 degrees**: The figure looks the same.
   
   Since rotating the star by any of these angles yields the same image, we have 6 distinct rotational symmetries.

Therefore, the number of rotational symmetries is **6**.

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### Related Questions:
1. What are the reflection symmetries of the Star of David?
2. How does rotational symmetry differ from reflection symmetry?
3. Can you calculate the rotational symmetries of other polygons, such as a regular pentagon?
4. What are the properties of a regular hexagon in terms of symmetry?
5. How can group theory be applied to describe the symmetries of this shape?

### Tip:
When dealing with symmetry problems, always start by identifying the basic rotational and reflectional symmetries. This approach often simplifies the solution process.

Consider the Star of David. The number of rotational symmetries (including the initial rotation as a symmetry).

Explore the rotational symmetry of the Star of David. This geometric problem helps students understand how a six-pointed star can be rotated by multiples of 60 degrees and still look the same. Suitable for Grades 6-8.

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