Steriruncicantic tesseractic honeycomb

Steriruncicantic tesseractic honeycomb
(No image)
Type	Uniform honeycomb
Schläfli symbol	h2,3,4{4,3,3,4}
Coxeter-Dynkin diagram	Template:CDD = Template:CDD
4-face type	t0123{4,3,3} File:Schlegel half-solid omnitruncated 8-cell.png tr{4,3,3} File:Cantitruncated tesseract stella4d.png 2t{4,3,3} Error creating thumbnail: t{3,3}×{} File:Truncated tetrahedral prism.png
Cell type	tr{4,3} File:Uniform polyhedron-43-t012.png t{3,4} Error creating thumbnail: t{3,3} File:Uniform polyhedron-33-t01.png t{4}×{} File:Octagonal prism.png t{3}×{} File:Hexagonal prism.png {3}×{} File:Triangular prism.png
Face type	{8} {6} {4}
Vertex figure
Coxeter group	${\tilde{B}}_4$ = [4,3,31,1]
Dual	?
Properties	vertex-transitive

In four-dimensional Euclidean geometry, the steriruncicantic tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.

Alternate names

• great prismated demitesseractic tetracomb (giphatit)
• great diprismatodemitesseractic tetracomb

See also

Regular and uniform honeycombs in 4-space:

• Tesseractic honeycomb
• 16-cell honeycomb
• 24-cell honeycomb
• Rectified 24-cell honeycomb
• Truncated 24-cell honeycomb
• Snub 24-cell honeycomb
• 5-cell honeycomb
• Truncated 5-cell honeycomb
• Omnitruncated 5-cell honeycomb

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, Template:Isbn [1]
  • (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. 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)
• Template:KlitzingPolytopes x3x3o *b3x4x - giphatit - O111

Template:Navbar-collapsible
Space	Family	${\tilde{A}}_{n-1}$	${\tilde{C}}_{n-1}$	${\tilde{B}}_{n-1}$	${\tilde{D}}_{n-1}$	${\tilde{G}}_2$ / ${\tilde{F}}_4$ / ${\tilde{E}}_{n-1}$
E2	Uniform tiling	0[3]	δ3	hδ3	qδ3	Hexagonal
E3	Uniform convex honeycomb	0[4]	δ4	hδ4	qδ4
E4	Uniform 4-honeycomb	0[5]	δ5	hδ5	qδ5	24-cell honeycomb
E5	Uniform 5-honeycomb	0[6]	δ6	hδ6	qδ6
E6	Uniform 6-honeycomb	0[7]	δ7	hδ7	qδ7	222
E7	Uniform 7-honeycomb	0[8]	δ8	hδ8	qδ8	133 • 331
E8	Uniform 8-honeycomb	0[9]	δ9	hδ9	qδ9	152 • 251 • 521
E9	Uniform 9-honeycomb	0[10]	δ10	hδ10	qδ10
E10	Uniform 10-honeycomb	0[11]	δ11	hδ11	qδ11
En-1	Uniform (n-1)-honeycomb	0[n]	δn	hδn	qδn	1k2 • 2k1 • k21