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#REDIRECT ] |
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{| class="wikitable" align="right" style="margin-left:10px" width="280" |
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|bgcolor=#e7dcc3 align=center colspan=3|'''Runcitruncated hexateron''' |
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|bgcolor=#ffffff align=center colspan=3|]<BR>] in A5 ] |
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|bgcolor=#e7dcc3|Type |
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|colspan=2|] |
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|bgcolor=#e7dcc3|4-faces |
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|47 |
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|6 t013{3,3,3}<BR>20 {3}x{6}<BR>15 {}xt1{3,3}<BR>6 t02{3,3,3} |
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|bgcolor=#e7dcc3|Cells |
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|255 |
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|bgcolor=#e7dcc3|Faces |
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|570 |
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|bgcolor=#e7dcc3|Edges |
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|colspan=2|540 |
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|bgcolor=#e7dcc3|Vertices |
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|colspan=2|180 |
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|bgcolor=#e7dcc3|] |
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|colspan=2|t<sub>0,1,3</sub>{3,3,3,3} |
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|bgcolor=#e7dcc3|] |
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|colspan=2|]]]]]]]]] |
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|bgcolor=#e7dcc3|] |
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|colspan=2|] |
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|bgcolor=#e7dcc3|] |
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|colspan=2|A<sub>5</sub> |
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|bgcolor=#e7dcc3|Properties |
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|colspan=2|], ] |
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{{R shell| |
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In ] ], '''runcitruncated hexateron''' (or '''runcitruncated 5-]''') is a ]. |
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{{R with history}} |
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{{R to plural}} |
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== Coordinates == |
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The coordinates can be made in 6-space, as 180 permutations of: |
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: (0,0,1,1,2,3) |
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This construction exists as one of 64 ] ] of the ]. |
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== Images == |
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{| class=wikitable width=240 |
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|- align=center |
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|]<BR>A4 Coxeter plane projection<BR>(5-gonal symmetry) |
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== Related uniform 5-polytopes == |
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The runcitruncated 5-simplex is one of 19 ] based on the ], all shown here in A<sub>5</sub> ] ]s. (Vertices are colored by projection overlap order, red, orange, yellow, green, cyan, blue, purple having progressively more vertices) |
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{{Hexateron family}} |
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== See also == |
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* Other ]s (regular): |
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** ] - {3,3,3,3} |
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** ] - {4,3,3,3} |
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** ] - {3,3,3,4} |
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== References == |
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* ] ''Uniform Polytopes'', Manuscript (1991) |
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* ] 5D quasiregulars, (multi)prisms, non-prismatic Wythoffian polyterons |
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== External links == |
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* {{PolyCell | urlname = glossary.html#simplex| title = Glossary for hyperspace}} |
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* |
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* |
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{{Geometry-stub}} |
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] |
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