The runcicantitruncated 6-cube, also called the runcicantitruncated dodecapeton, great prismated hexeract, or gippox, is a convex uniform 6-polytope. It consists of 12 runcicantitruncated 5-cubes, 64 cantitruncated 5-simplices, 192 truncated pentachoric prisms, and 240 octagonal-tetrahedral duoprisms. 3 runcicantitruncated 5-cubes, 1 cantitruncated 5-simplex, 1 truncated pentachoric prism, and 1 octagonal-tetrahedral duoprism join at each vertex. As the name suggests, it is the runcicantitruncation of the 6-cube.
The coordinates of a runcicantitruncated 6-cube, centered at the origin and with unit edge length, are given by all permutations of:
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B5 orthographic projection
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Name | OBSA | Schläfli symbol | CD diagram |
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6-cube | ax | {4,3,3,3,3} | |
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Rectified 6-cube | rax | r{4,3,3,3,3} | |
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Birectified 6-cube | brox | t2{4,3,3,3,3} | |
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Birectified 6-orthoplex | brag | t2{3,3,3,3,4} | |
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Rectified 6-orthoplex | rag | r{3,3,3,3,4} | |
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6-orthoplex | gee | {3,3,3,3,4} | |
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Truncated 6-cube | tox | t{4,3,3,3,3} | |
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Cantellated 6-cube | srox | rr{4,3,3,3,3} | |
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Runcinated 6-cube | spox | t0,3{4,3,3,3,3} | |
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Stericated 6-cube | scox | t0,4{4,3,3,3,3} | |
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Pentellated 6-cube | stoxog | t0,5{4,3,3,3,3} | |
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Bitruncated 6-cube | botox | t1,2{4,3,3,3,3} | |
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Bicantellated 6-cube | saborx | t1,3{4,3,3,3,3} | |
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Biruncinated 6-cube | sobpoxog | t1,4{4,3,3,3,3} | |
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Stericated 6-orthoplex | scag | t0,4{3,3,3,3,4} | |
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Tritruncated 6-cube | xog | t2,3{4,3,3,3,3} | |
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Bicantellated 6-orthoplex | siborg | t1,3{3,3,3,3,4} | |
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Runcinated 6-orthoplex | spog | t0,3{3,3,3,3,4} | |
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Bitruncated 6-orthoplex | botag | t1,2{3,3,3,3,4} | |
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Cantellated 6-orthoplex | srog | rr{3,3,3,3,4} | |
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Truncated 6-orthoplex | tag | t{3,3,3,3,4} | |
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Cantitruncated 6-cube | grox | tr{4,3,3,3,3} | |
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Runcitruncated 6-cube | potax | t0,1,3{4,3,3,3,3} | |
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Steritruncated 6-cube | catax | t0,1,4{4,3,3,3,3} | |
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Pentitruncated 6-cube | tacog | t0,1,5{4,3,3,3,3} | |
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Runcicantellated 6-cube | prox | t0,2,3{4,3,3,3,3} | |
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Stericantellated 6-cube | crax | t0,2,4{4,3,3,3,3} | |
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Penticantellated 6-cube | topag | t0,2,5{4,3,3,3,3} | |
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Steriruncinated 6-cube | copox | t0,3,4{4,3,3,3,3} | |
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Penticantellated 6-orthoplex | tapox | t0,2,5{3,3,3,3,4} | |
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Pentitruncated 6-orthoplex | tacox | t0,1,5{3,3,3,3,4} | |
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Bicantitruncated 6-cube | gaborx | t1,2,3{4,3,3,3,3} | |
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Biruncitruncated 6-cube | boprag | t1,2,4{4,3,3,3,3} | |
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Steriruncinated 6-orthoplex | copog | t0,3,4{3,3,3,3,4} | |
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Biruncitruncated 6-orthoplex | boprax | t1,2,4{3,3,3,3,4} | |
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Stericantellated 6-orthoplex | crag | t0,2,4{3,3,3,3,4} | |
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Steritruncated 6-orthoplex | catog | t0,1,4{3,3,3,3,4} | |
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Bicantitruncated 6-orthoplex | gaborg | t1,2,3{3,3,3,3,4} | |
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Runcicantellated 6-orthoplex | prog | t0,2,3{3,3,3,3,4} | |
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Runcitruncated 6-orthoplex | potag | t0,1,3{3,3,3,3,4} | |
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Cantitruncated 6-orthoplex | grog | tr{3,3,3,3,4} | |
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Runcicantitruncated 6-cube | gippox | t0,1,2,3{4,3,3,3,3} | |
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Stericantitruncated 6-cube | cagorx | t0,1,2,4{4,3,3,3,3} | |
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Penticantitruncated 6-cube | togrix | t0,1,2,5{4,3,3,3,3} | |
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Steriruncitruncated 6-cube | captix | t0,1,3,4{4,3,3,3,3} | |
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Pentiruncitruncated 6-cube | tocrag | t0,1,3,5{4,3,3,3,3} | |
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Pentisteritruncated 6-cube | tactaxog | t0,1,4,5{4,3,3,3,3} | |
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Steriruncicantellated 6-cube | coprix | t0,2,3,4{4,3,3,3,3} | |
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Pentiruncicantellated 6-cube | tiprixog | t0,2,3,5{4,3,3,3,3} | |
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Pentiruncitruncated 6-orthoplex | tocrax | t0,1,3,5{3,3,3,3,4} | |
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Penticantitruncated 6-orthoplex | togrig | t0,1,2,5{3,3,3,3,4} | |
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Biruncicantitruncated 6-cube | gobpoxog | t1,2,3,4{4,3,3,3,3} | |
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Steriruncicantellated 6-orthoplex | coprag | t0,2,3,4{3,3,3,3,4} | |
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Steriruncitruncated 6-orthoplex | captog | t0,1,3,4{3,3,3,3,4} | |
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Stericantitruncated 6-orthoplex | cagorg | t0,1,2,4{3,3,3,3,4} | |
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Runcicantitruncated 6-orthoplex | gopog | t0,1,2,3{3,3,3,3,4} | |
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Steriruncicantitruncated 6-cube | gocax | t0,1,2,3,4{4,3,3,3,3} | |
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Pentiruncicantitruncated 6-cube | tagpox | t0,1,2,3,5{4,3,3,3,3} | |
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Pentistericantitruncated 6-cube | tocagrax | t0,1,2,4,5{4,3,3,3,3} | |
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Pentistericantitruncated 6-orthoplex | tecagorg | t0,1,2,4,5{3,3,3,3,4} | |
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Pentiruncicantitruncated 6-orthoplex | tagpog | t0,1,2,3,5{3,3,3,3,4} | |
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Steriruncicantitruncated 6-orthoplex | gocog | t0,1,2,3,4{3,3,3,3,4} | |
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Omnitruncated 6-cube | gotaxog | t0,1,2,3,4,5{4,3,3,3,3} | |
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