**Agenda: Fractal Dimensions**

**Presenters: Aubrey Rhoden and Kim Moore**

**Understanding Fractal Dimensions**

### More Fractal Dimensions

### Exploring Fractal Dimensions Student Worksheet

- What patterns are there in the Sierpinski Triangle?
- What is the rule for the number of shaded triangles in n iterations?
- What is the rule for the number of unshaded triangles in n iterations?
- What fraction of the triangles are shaded in n iterations?
- How do you describe the dimension of a Sierpinski Triangle?

- What patterns are there in the Sierpinski Carpet?
- What is the rule for the number of shaded squares in n iterations?
- What is the rule for the number of unshaded squares in n iterations?
- What fraction of the squares are shaded in n iterations?
- How do you describe the dimension of a Sierpinski Carpet?

### How do you describe the dimensions of a Koch Snowflake?

### How do you describe the dimension of a Sierpinski Tetrahedron?

### How do you describe the dimensions of a Menger Sponge?

## Making the Tree

**Koch Snowflake Template**

**Sierpinski Tetrahedron Template**

**Menger Sponge Template**

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