Metatron's Cube and the Platonic Solids

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tetrahedron
octahedron
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icosahedron
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This Demonstration displays the different 3D Platonic solids that can formed from a 2D configuration called Metatron’s cube. Metatron’s cube (also called “the fruit of life”) is composed of 13 identical circles with lines connecting the centers of all the circles. Two-dimensional projections of the five Platonic solids can be fitted to the pattern. The vertices of the dodecahedron and icosahedron require some off-center points, but in a 3D generalization, using spheres rather than circles, all the vertices will lie at the centers of spheres.

References

[1] Wikipedia. "Metatron's Cube." (Jul 6, 2015) en.wikipedia.org/wiki/Metatron%27 s_Cube.

External Links

Platonic Solids
A Sequence of Inscribed Platonic Solids

Permanent Citation

Erik Zillner, Lauren Ciardiello
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​"Metatron's Cube and the Platonic Solids"​
​http://demonstrations.wolfram.com/MetatronsCubeAndThePlatonicSolids/​
​Wolfram Demonstrations Project​
​Published: July 7, 2015