VingCard Elsafe

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VingCard Elsafe
(No image)
Type Dual uniform honeycomb
Coxeter-Dynkin diagrams Template:CDD
Cell
rhombic pyramid
Faces Rhombus
Triangle
Coxeter groups [4,31,1], B~3
[3[4]], A~3
Symmetry group FmTemplate:Overlinem (225)
vertex figures
Template:CDD, Template:CDD, Template:CDD
Dual Cantic cubic honeycomb
Properties Cell-transitive

The rhombic pyramidal honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. John Horton Conway calls it an truncated tetraoctahedrille.

Related honeycombs

It is dual to the cantic cubic honeycomb:

See also

References

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  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, (2008) The Symmetries of Things, ISBN 978-1-56881-220-5 (Chapter 21, Naming the Archimedean and Catalan polyhedra and tilings, Architectonic and Catoptric tessellations, p 292-298, includes all the nonprismatic forms)
  • Branko Grünbaum, Uniform tilings of 3-space. Geombinatorics 4(1994), 49 - 56.

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