A Fractal Crystal Comprised of Cubes and Some Related Fractal Arrangements of other Platonic Solids

Year: 2008 Authors: Robert W. Fathauer; Hank Kaczmarski; Nicholas Duchnowski

Core claim

A simple recursive placement of smaller Platonic solids can generate visually rich 3D fractal structures whose cube case yields an octahedral crystal with Sierpinski-triangle faces.

Topics

3D fractals, Platonic solids, Sierpinski triangle, mathematical art, fractal sculpture

Domains

geometry, fractal geometry, polyhedra, iterated construction, mathematical art, sculpture, visual design, 3D printing

Methods

iterative face placement, orthographic projection, VRML modeling, zCorp 3D printing

Media

cubes, tetrahedra, dodecahedra, VRML, 3D color printer

Source status

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