Obrázok:Menger sponge (Level 1-4).jpg

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Menger sponge, a fractal. Image shows the first four iteriations and was created from using a simple "lindenmayer system", (L-system).

The number of cubes increases by : 20n. Where n is the number of iteriations performed on the first cube:

Iters Cubes Sum
0 1 1
1 20 21
2 400 421
3 8,000 8,421
4 160,000 168,421
5 3,200,000 3,368,421
6 64,000,000 67,368,421

At the first level, no iteriations are performed, (20 n=0 = 1). The image above are of a total of 8,421 cubes, (sum of all four levels)

See also:



Image: User:Solkoll.
Public domain This image has been released into the public domain by its author, Solkoll. This applies worldwide.

In some countries this may not be legally possible; if so:
Solkoll grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


More 3D fractals from my tool:

All freaktal images are from self-written tools. Linear fractals from my : "3D IFS studio" and "3D DTIFS" (dragon trees), non-linear IFS from "3D RJIFS" (3D rev Julia).

See also: Solkoll & Solkoll 2D


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