3D Snowflake Fractals

shape

cubes

spheres

level

1

2

3

4

5

scale factor

1

2

3

4

5

This Demonstration is modeled after the Koch snowflake, but extended to three dimensions. A central figure (cube or sphere) is surrounded by six figures of the same shape, but scaled down by a factor. Then the process is repeated for each of the smaller figures. The sequence of operations continues indefinitely. The resulting 3D fractal has an infinite surface area but a finite volume.

External Links

An Infinite Tree of Circles or Spheres

Square Koch Fractal Surface

Permanent Citation

Jonathan Kogan

"3D Snowflake Fractals"
http://demonstrations.wolfram.com/3DSnowflakeFractals/
Wolfram Demonstrations Project
Published: August 7, 2015