3D Snowflake Fractals

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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.

Contributed by: Jonathan Kogan (August 2015)
Open content licensed under CC BY-NC-SA




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