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| {| class="wikitable" align="right" style="margin-left:10px" width="360"
| | 43 yr old Patents Examiner Eduardo from King City, spends time with hobbies including 4-wheeling, HACK Beach Buggy Racing (All Versions) No Jailbreak Required and canoeing. Has toured since childhood and has gone to several spots, for example Qutb Minar and its Monuments.<br><br>My blog; [http://beachbuggyracing.wikidot.com/ Beach Buggy Racing Hack Coins And Gems For Android IOS] |
| !bgcolor=#e7dcc3 colspan=2|Cantitruncated 4-simplex honeycomb
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| |bgcolor=#ffffff align=center colspan=2|(No image)
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| |bgcolor=#e7dcc3|Type||[[Uniform_polyteron#Regular_and_uniform_honeycombs|Uniform 4-honeycomb]]
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| |bgcolor=#e7dcc3|[[Schläfli symbol]]||t<sub>0,1,2</sub>{3<sup>[5]</sup>}
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| |bgcolor=#e7dcc3|[[Coxeter diagram]]||{{CDD|node_1|split1|nodes_11|3ab|branch}}
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| |bgcolor=#e7dcc3|4-face types||[[Truncated 5-cell|t<sub>0,1</sub>{3<sup>3</sup>}]] [[File:Schlegel half-solid truncated pentachoron.png|40px]]<BR>[[cantitruncated 5-cell|t<sub>0,1,2</sub>{3<sup>3</sup>}]] [[File:Schlegel half-solid cantitruncated 5-cell.png|40px]]<BR>[[runcinated 5-cell|t<sub>0,3</sub>{3<sup>3</sup>}]] [[File:Schlegel half-solid runcinated 5-cell.png|40px]]
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| |bgcolor=#e7dcc3|Cell types||[[Tetrahedron]] [[File:Tetrahedron.png|20px]]<BR>
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| [[Truncated tetrahedron]] [[File:truncated tetrahedron.png|20px]]<BR>
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| [[Truncated octahedron]] [[File:Truncated octahedron.png|20px]]<BR>
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| [[Triangular prism]] [[File:Triangular prism.png|20px]]
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| |bgcolor=#e7dcc3|Vertex figure||triangular elongated-antiprismatic pyramid
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| |bgcolor=#e7dcc3|[[Coxeter notation|Symmetry]]||<math>{\tilde{A}}_4</math>×2, [<span/>[3<sup>[5]</sup>]]
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| |bgcolor=#e7dcc3|Properties||[[vertex-transitive]]
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| |}
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| In [[Four-dimensional space|four-dimensional]] [[Euclidean geometry]], the '''cantitruncated 4-simplex honeycomb''' or '''cantitruncated 5-cell honeycomb''' is a space-filling [[tessellation]] [[honeycomb (geometry)|honeycomb]].
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| == Alaternate names ==
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| * Great cyclorhombated pentachoric tetracomb
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| * Great truncated-pentachoric tetracomb
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| == Related polytopes and honeycombs ==
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| {{4-simplex_honeycomb_family}}
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| ==See also==
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| Regular and uniform honeycombs in 4-space:
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| *[[tesseractic honeycomb]]
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| *[[16-cell honeycomb]]
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| *[[24-cell honeycomb]]
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| *[[Truncated 24-cell honeycomb]]
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| *[[Snub 24-cell honeycomb]]
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| *[[5-cell honeycomb]]
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| *[[Truncated 5-cell honeycomb]]
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| ==Notes==
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| {{reflist}}
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| == References ==
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| * [[Norman Johnson (mathematician)|Norman Johnson]] ''Uniform Polytopes'', Manuscript (1991)
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| * '''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]
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| ** (Paper 22) H.S.M. Coxeter, ''Regular and Semi Regular Polytopes I'', [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 Uniform space-fillings)
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| ** (Paper 24) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes III'', [Math. Zeit. 200 (1988) 3-45]
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| * [[George Olshevsky]], ''Uniform Panoploid Tetracombs'', Manuscript (2006) ''(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)'' Model 136
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| * {{KlitzingPolytopes|flat.htm|4D|Euclidean tesselations}} x3x3x3o3o3*a - gocyropit - O137
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| {{Honeycombs}}
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| [[Category:Honeycombs (geometry)]]
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| [[Category:5-polytopes]]
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43 yr old Patents Examiner Eduardo from King City, spends time with hobbies including 4-wheeling, HACK Beach Buggy Racing (All Versions) No Jailbreak Required and canoeing. Has toured since childhood and has gone to several spots, for example Qutb Minar and its Monuments.
My blog; Beach Buggy Racing Hack Coins And Gems For Android IOS