|
|
(One intermediate revision by one other user not shown) |
Line 1: |
Line 1: |
| {| class="wikitable" align="right" style="margin-left:10px" width="320"
| | My name is Valentina Morell. I life in Unterfohring (Germany).<br><br>my web page :: [http://support.file1.com/entries/35421344-Hostgator-Evaluation Hostgator Promo Codes] |
| !bgcolor=#e7dcc3 colspan=2|Runcinated 16-cell honeycomb
| |
| |-
| |
| |bgcolor=#ffffff align=center colspan=2|(No image)
| |
| |-
| |
| |bgcolor=#e7dcc3|Type||[[Uniform polyteron#Regular and uniform honeycombs|Uniform 4-honeycomb]]
| |
| |-
| |
| |bgcolor=#e7dcc3|[[Schläfli symbol]]||t03{3,3,4,3}
| |
| |-
| |
| |bgcolor=#e7dcc3|[[Coxeter-Dynkin diagram]]s||
| |
| {{CDD|node_1|3|node|3|node|4|node_1|3|node}}
| |
| |-
| |
| |bgcolor=#e7dcc3|4-face type||[[Rectified 24-cell|r{3,4,3}]]<BR>[[runcinated tesseract|t03{4,3,3}]]<BR>[[cuboctahedral prism|r{3,4}x{}]]<BR>[[duoprism|{3}x{3}]]
| |
| |-
| |
| |bgcolor=#e7dcc3|Cell type||[[cuboctahedron|r{3,4}]]<BR>[[cube|{4,3}]]<BR>[[Tetrahedron|{3,3}]]
| |
| |-
| |
| |bgcolor=#e7dcc3|Face type||{3}, {4}
| |
| |-
| |
| |bgcolor=#e7dcc3|[[Vertex figure]]||
| |
| |-
| |
| |bgcolor=#e7dcc3|[[Coxeter group]]s||<math>{\tilde{F}}_4</math>, [3,4,3,3]
| |
| |-
| |
| |bgcolor=#e7dcc3|Properties||[[Vertex transitive]]
| |
| |}
| |
| In [[Four-dimensional space|four-dimensional]] [[Euclidean geometry]], the '''runcinated 16-cell honeycomb''' is a uniform space-filling [[honeycomb (geometry)|honeycomb]]. It can be seen as a [[Runcination (geometry)|runcination]] of the regular [[16-cell honeycomb]], containing [[Rectified 24-cell]], [[runcinated tesseract]], [[cuboctahedral prism]], and 3-3 [[duoprism]] cells.
| |
| | |
| == Alternate names==
| |
| * Runcinated hexadecachoric tetracomb/honeycomb
| |
| * Small prismated demitesseractic tetracomb (spaht)
| |
| * Small disicositetrachoric tetracomb
| |
| | |
| == Related honeycombs==
| |
| {{F4 honeycombs}}
| |
| | |
| == See also ==
| |
| Regular and uniform honeycombs in 4-space:
| |
| *[[Tesseractic honeycomb]]
| |
| *[[16-cell honeycomb]]
| |
| *[[24-cell honeycomb]]
| |
| *[[Rectified 24-cell honeycomb]]
| |
| *[[Snub 24-cell honeycomb]]
| |
| *[[5-cell honeycomb]]
| |
| *[[Truncated 5-cell honeycomb]]
| |
| *[[Omnitruncated 5-cell honeycomb]]
| |
| | |
| == References ==
| |
| * [[Coxeter|Coxeter, H.S.M.]] ''[[Regular Polytopes (book)|Regular Polytopes]]'', (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8 p. 296, Table II: Regular honeycombs
| |
| * '''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, ISBN 978-0-471-01003-6 [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html]
| |
| ** (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)'' Model 122
| |
| * {{KlitzingPolytopes|flat.htm|4D|Euclidean tesselations}} x3o3o4x3o - spaht - O122
| |
| | |
| {{Honeycombs}}
| |
| | |
| [[Category:5-polytopes]]
| |
| [[Category:Honeycombs (geometry)]]
| |
My name is Valentina Morell. I life in Unterfohring (Germany).
my web page :: Hostgator Promo Codes