Steriruncicantic tesseractic honeycomb: Difference between revisions

Latest revision as of 19:39, 26 December 2017

Steriruncicantic tesseractic honeycomb
(No image)
Type	Uniform honeycomb
Schläfli symbol	h_2,3,4{4,3,3,4}
Coxeter-Dynkin diagram	Template:CDD = Template:CDD
4-face type	t0123{4,3,3} tr{4,3,3} 2t{4,3,3} t{3,3}×{}
Cell type	tr{4,3} t{3,4} t{3,3} t{4}×{} t{3}×{} {3}×{}
Face type	{8} {6} {4}
Vertex figure
Coxeter group	${\tilde{B}}_{4}$ = [4,3,3^1,1]
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.

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
E^n-1	Uniform (n-1)-honeycomb	0_[n]	δ_n	hδ_n	qδ_n	1_k2 • 2_k1 • k₂₁