Yes, the classic example of a non-rectifiable curve is the Koch Snowflake. It's a fractal curve that starts with an equilateral triangle and, at each iteration, replaces the middle third of every line segment with a pair of smaller line segments that form a smaller equilateral triangle. The resulting curve is continuous, but its length approaches infinity as the number of iterations increases, making it non-rectifiable.
Here's a simple description of how the Koch Snowflake is constructed:

    1. Start with an equilateral triangle with side length s.
    2. Replace the middle third of each line segment with two line segments that form an equilateral triangle with side length s/3.
    3. Repeat step 2 for a desired number of iterations.

The fractal nature of the Koch Snowflake means that it has an infinite number of corners, or fractal dimension, making it a good example of a fractal curve that is non-rectifiable.
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