Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Stericantic tesseractic honeycomb
open-in-new
<table><tbody><tr><th colspan="2">Stericantic tesseractic honeycomb</th></tr><tr><td colspan="2">(No image)</td></tr><tr><td>Type</td><td>Uniform honeycomb</td></tr><tr><td><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a></td><td>h2,4{4,3,3,4}</td></tr><tr><td><a href="/facts/Coxeter-Dynkin_diagram/Ik6LmXJB">Coxeter-Dynkin diagram</a></td><td> = </td></tr><tr><td>4-face type</td><td><a href="/facts/Cantellated_tesseract/gLYspT03">rr{4,3,3}</a><a href="/facts/Runcitruncated_16-cell/NqDGHQxp">t0,1,3{3,3,4}</a><a href="/facts/Truncated_16-cell/ShQzMKoa">t{3,3,4}</a><a href="/facts/Truncated_tetrahedral_prism/7Fc4E1FP">{3,3}×{}</a></td></tr><tr><td>Cell type</td><td><a href="/facts/Rhombicuboctahedron/TmxUmEnl">rr{4,3}</a><a href="/facts/Octahedron/G38q92xW">{3,4}</a><a href="/facts/Cube/65lUaAqN">{4,3}</a><a href="/facts/Truncated_tetrahedron/K9ItvmUK">t{3,3}</a><a href="/facts/Hexagonal_prism/oxYc0nF2">t{3}×{}</a><a href="/facts/Triangular_prism/Yjp4Kw9M">{3}×{}</a></td></tr><tr><td>Face type</td><td>{6}{4}{3}</td></tr><tr><td><a href="/facts/Vertex_figure/3u2ySK0C">Vertex figure</a></td><td></td></tr><tr><td><a href="/facts/Coxeter_group/bgzHFm1Q">Coxeter group</a></td><td> B ~ 4 {\displaystyle {\tilde {B}}_{4}} = [4,3,31,1]</td></tr><tr><td>Dual</td><td>?</td></tr><tr><td>Properties</td><td><a href="/facts/Vertex-transitive/5nC8PdBm">vertex-transitive</a></td></tr></tbody></table> <p>In <a href="/facts/Four-dimensional_space/vFQd0M7T">four-dimensional</a> <a href="/facts/Euclidean_geometry/V6cTcoCy">Euclidean geometry</a>, the stericantic tesseractic honeycomb is a uniform space-filling <a href="/facts/Tessellation/7BWDywXC">tessellation</a> (or <a href="/facts/Honeycomb_(geometry)/seyRBcel">honeycomb</a>) in Euclidean 4-space. </p>