In
four-dimensional Euclidean geometry, the birectified 16-cell honeycomb (or runcic tesseractic honeycomb) is a uniform space-filling
tessellation (or
honeycomb) in Euclidean 4-space.
Symmetry constructions
There are 3 different symmetry constructions, all with 3-3
duoprism vertex figures. The
symmetry doubles on
in three possible ways, while
contains the highest symmetry.
Related honeycombs
See also
Regular and uniform honeycombs in 4-space:
*
Tesseractic honeycomb
*
16-cell honeycomb
In Four-dimensional space, four-dimensional Euclidean geometry, the 16-cell honeycomb is one of the three regular space-filling tessellations (or honeycomb (geometry), honeycombs), represented by Schläfli symbol , and constructed by a 4-dimensiona ...
*
24-cell honeycomb
*
Rectified 24-cell honeycomb
*
Truncated 24-cell honeycomb
*
Snub 24-cell honeycomb
*
5-cell honeycomb
In four-dimensional Euclidean geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and rectified 5-cells facets in a ratio of 1:1. Struct ...
*
Truncated 5-cell honeycomb
In four-dimensional Euclidean geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and rectified 5-cells facets in a ratio of 1:1. Struct ...
*
Omnitruncated 5-cell honeycomb
Notes
References
* Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995,
** (Paper 24) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes III'',
ath. Zeit. 200 (1988) 3-45* George Olshevsky, ''Uniform Panoploid Tetracombs'', Manuscript (2006) ''(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)''
* x3o3x *b3x *b3o, x3o3o *b3x4o, o3o3x4o3o - bricot - O106
{{Honeycombs
Honeycombs (geometry)
5-polytopes