Image:Menger sponge (Level 1-4).jpg
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Menger_sponge_(Level_1-4).jpg (800 × 228 pixels • taille du fichier : 89 ko • type MIME : image/jpeg)
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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:
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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