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Same Algorithm.pdf

stat_geom_described_v5.pdf
Preview of same algorithm
🔗 Source: john-art.com
📊 Size: 2.56 MB
📄 Pages: 22 pages
⬇️ Downloads: 84

Summary

A statistical geometry algorithm generates space-filling fractals by placing shapes of decreasing size within a bounding area, using a random search to avoid overlap. The algorithm uses a power law area sequence, ensuring statistical self-similarity, and can be applied to various shapes and dimensions. Parameters c and N control the filling process, with c typically ranging from 1.2 to 1.4. The algorithm can produce complicated results and is found to be space-filling, with no proof that it halts for mathematical numbers. It also works in three dimensions with volumes and in one dimension with lengths, generating fractals with unique properties.

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Description

A statistical geometry algorithm generates space-filling fractals by placing shapes of decreasing size within a bounding area, using a random search to avoid...

Technical Information

  • File Format: PDF
  • File Size: 2.56 MB
  • Pages: 22
  • Language: EN
  • Total Downloads: 84
  • Last Updated: 4 weeks ago

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