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3D Snowflake Fractals

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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.
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