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Stellated rhombic dodecahedral honeycomb

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A partial honeycomb of stellated rhombic dodecahedral cells.

The stellated rhombic dodecahedral honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of copies of stellated rhombic dodecahedron cells. Six stellated rhombic dodecahedra meet at each vertex. This honeycomb is cell-transitive, edge-transitive and vertex-transitive.

References

  • George Hart, Stellations
  • Exploring a complex space-filling shape, Exploratorium
  • Ioana Mihaila, Tessellations from Group Actions and the Mystery of Escher’s Solid [dead link]
  • Ellery B. Golos; Daniel D. Joseph (1981). Patterns in mathematics. Prindle, Weber & Schmidt. ISBN 978-0-87150-301-5.
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