Question

1. write out the steps of your snowflake algorithm below. you may skip the initial steps required to fold the paper. (3 points)

Explanation:

This refers to the iterative geometric steps of the Koch snowflake algorithm, a fractal creation process. The steps focus on modifying line segments to build the snowflake shape, skipping paper folding prep.

Answer:

1. Step 1: Define base shape

Start with an equilateral triangle (each side is a straight line segment of length $L$).

1. Step 2: Segment division

For every straight line segment, divide it into 3 equal parts, each of length $\frac{L}{3}$.

1. Step 3: Peak creation

Remove the middle third segment, then draw two new segments of length $\frac{L}{3}$ from the endpoints of the removed segment, forming an equilateral "peak" (60° angle) pointing outward from the original shape.

1. Step 4: Iteration

Repeat Steps 2 and 3 for every straight line segment in the current shape. Continue this iteration to increase the fractal detail of the snowflake.