Dodecahedron and Bilunabirotunda

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separate layers
units in x direction
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units in y direction
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show dodecahedron
show bilunabirotunda
Pentagonal dodecahedra can be arranged in a cubic lattice connected edge to edge. The spaces between the dodecahedra can be filled with cubes and bilunabirotundas (Johnson Solid J91) arranged in the three coordinate directions. This means that one pentagonal dodecahedron, one cube and three bilunabirotundas joined together form a space-filling object.

External Links

Bilunabirotunda (Wolfram MathWorld)
Johnson Solid (Wolfram MathWorld)
Dodecahedron (Wolfram MathWorld)

Permanent Citation

Sándor Kabai
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​"Dodecahedron and Bilunabirotunda"​
​http://demonstrations.wolfram.com/DodecahedronAndBilunabirotunda/​
​Wolfram Demonstrations Project​
​Published: January 14, 2008