Bitrigonal diminished pyrocantichoron (EntityTopic, 15)

From Hi.gher. Space

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(add incidence matrix, thanks Klitzing)
 
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== Coordinates ==
== Coordinates ==
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     <4/sqrt(10), 0, 3/sqrt(3), 1>
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     <4/√10, 0, 3/√3, 1>
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     <4/sqrt(10), 0, 3/sqrt(3), -1>
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     <4/√10, 0, 3/√3, -1>
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     <4/sqrt(10), 0, 0, 2>
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     <4/√10, 0, 0, 2>
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     <4/sqrt(10), 0, 0, -2>
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     <4/√10, 0, 0, -2>
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     <4/sqrt(10), 0, -3/sqrt(3), 1>
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     <4/√10, 0, -3/√3, 1>
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     <4/sqrt(10), 0, -3/sqrt(3), -1>
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     <4/√10, 0, -3/√3, -1>
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     <4/sqrt(10), -4/sqrt(6), 2/sqrt(3), 0>
+
     <4/√10, -4/√6, 2/√3, 0>
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     <4/sqrt(10), -4/sqrt(6), -1/sqrt(3), 1>
+
     <4/√10, -4/√6, -1/√3, 1>
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     <4/sqrt(10), -4/sqrt(6), -1/sqrt(3), -1>
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     <4/√10, -4/√6, -1/√3, -1>
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     <-1/sqrt(10), 3/sqrt(6), 3/sqrt(3), 1>
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     <-1/√10, 3/√6, 3/√3, 1>
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     <-1/sqrt(10), 3/sqrt(6), 3/sqrt(3), -1>
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     <-1/√10, 3/√6, 3/√3, -1>
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     <-1/sqrt(10), 3/sqrt(6), 0, 2>
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     <-1/√10, 3/√6, 0, 2>
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     <-1/sqrt(10), 3/sqrt(6), 0, -2>
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     <-1/√10, 3/√6, 0, -2>
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     <-1/sqrt(10), 3/sqrt(6), -3/sqrt(3), 1>
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     <-1/√10, 3/√6, -3/√3, 1>
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     <-1/sqrt(10), 3/sqrt(6), -3/sqrt(3), -1>
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     <-1/√10, 3/√6, -3/√3, -1>
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     <-1/sqrt(10), -1/sqrt(6), 2/sqrt(3), -2>
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     <-1/√10, -1/√6, 2/√3, -2>
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     <-1/sqrt(10), -1/sqrt(6), -4/sqrt(3), 0>
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     <-1/√10, -1/√6, -4/√3, 0>
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     <-1/sqrt(10), -5/sqrt(6), 1/sqrt(3), -1>
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     <-1/√10, -5/√6, 1/√3, -1>
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     <-1/sqrt(10), -5/sqrt(6), -2/sqrt(3), 0>
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     <-1/√10, -5/√6, -2/√3, 0>
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     <-6/sqrt(10), 2/sqrt(6), 2/sqrt(3), 0>
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     <-6/√10, 2/√6, 2/√3, 0>
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     <-6/sqrt(10), 2/sqrt(6), -1/sqrt(3), 1>
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     <-6/√10, 2/√6, -1/√3, 1>
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     <-6/sqrt(10), 2/sqrt(6), -1/sqrt(3), -1>
+
     <-6/√10, 2/√6, -1/√3, -1>
-
     <-6/sqrt(10), -2/sqrt(6), 1/sqrt(3), -1>
+
     <-6/√10, -2/√6, 1/√3, -1>
-
     <-6/sqrt(10), -2/sqrt(6), -2/sqrt(3), 0>
+
     <-6/√10, -2/√6, -2/√3, 0>
 +
 
 +
<[#polytope [id 97]]>
== Additional images ==
== Additional images ==
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== Software models ==
== Software models ==
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*[[Stella4D]] [http://teamikaria.com/hddb/dl/4GHEJ5GG0GBGJJ56XK97TSD9YR.off .off file]
+
<[#models [hash QZ0KYZCTC3S4MXXKEHACTD6QST]]>
== External links ==
== External links ==
*[http://hddb.teamikaria.com/forum/viewtopic.php?p=17599#p17599 Quickfur's original post]
*[http://hddb.teamikaria.com/forum/viewtopic.php?p=17599#p17599 Quickfur's original post]
 +
*[http://hddb.teamikaria.com/forum/viewtopic.php?p=18487#p18487 Incidence matrix provided by Klitzing]

Latest revision as of 20:06, 15 March 2014

The bitrigonal diminished pyrocantichoron is a CRF polychoron discovered by Quickfur on August 2, 2012. Its cells are one cuboctahedron, two hexagonal prisms, two triangular cupolae, four square pyramids and four triangular prisms.

Coordinates 

   <4/√10, 0, 3/√3, 1>
   <4/√10, 0, 3/√3, -1>
   <4/√10, 0, 0, 2>
   <4/√10, 0, 0, -2>
   <4/√10, 0, -3/√3, 1>
   <4/√10, 0, -3/√3, -1>
   <4/√10, -4/√6, 2/√3, 0>
   <4/√10, -4/√6, -1/√3, 1>
   <4/√10, -4/√6, -1/√3, -1>
   <-1/√10, 3/√6, 3/√3, 1>
   <-1/√10, 3/√6, 3/√3, -1>
   <-1/√10, 3/√6, 0, 2>
   <-1/√10, 3/√6, 0, -2>
   <-1/√10, 3/√6, -3/√3, 1>
   <-1/√10, 3/√6, -3/√3, -1>
   <-1/√10, -1/√6, 2/√3, -2>
   <-1/√10, -1/√6, -4/√3, 0>
   <-1/√10, -5/√6, 1/√3, -1>
   <-1/√10, -5/√6, -2/√3, 0>
   <-6/√10, 2/√6, 2/√3, 0>
   <-6/√10, 2/√6, -1/√3, 1>
   <-6/√10, 2/√6, -1/√3, -1>
   <-6/√10, -2/√6, 1/√3, -1>
   <-6/√10, -2/√6, -2/√3, 0>

Incidence matrix

Dual: (dual of bitrigonal diminished pyrocantichoron)

#TXIDVaVbVcVdEaEbEcEdEeEfEgEhEiEj4a4b6a3a4c4d3b3c4e4f3d3eC1aC2aC3aC4aC5aTypeName
0 Va = point ; hip-hip square ones
1 Vb = point ; intermediates
2 Vc = point ; polar ones of co
3 Vd = point ; medial ones of co
4 Ea 2000 = digon ;
5 Eb 1100 = digon ;
6 Ec 0200 = digon ; hip-lacing
7 Ed 0200 = digon ; wedge-edges
8 Ee 0110 = digon ;
9 Ef 0101 = digon ;
10 Eg 0020 = digon ; hip-base
11 Eh 0020 = digon ; hip-lacing
12 Ei 0011 = digon ; tricu-lacing
13 Ej 0011 = digon ; squippy-lacing
14 4a 40004000000000 = square ;
15 4b 22001210000000 = square ;
16 6a 22201200201000 = hexagon ;
17 3a 12000201000000 = triangle ;
18 4c 02200010200100 = square ;
19 4d 02110001110010 = square ;
20 3b 02010010020000 = triangle ;
21 3c 01110000110001 = triangle ;
22 4e 00400000002200 = square ;
23 4f 00220000000022 = square ;
24 3d 00210000001020 = triangle ;
25 3e 00210000000102 = triangle ;
26 C1a 44404420402200122020001000 = hexagonal prism ;
27 C2a 24211412221020011202100010 = triangular cupola ;
28 C3a 02220001220022000002020100 = triangular prism ;
29 C4a 02210010220102000010120001 = square pyramid ;
30 C5a 00840000004488000000002444 = stauromesohedron ;
31 H4.1a 4884484488448814444848244424441 = bitrigonal diminished pyrocantichoron ;

Usage as facets

This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.

Additional images

(image)
Single view
(image)
Stereo view
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Software models

ExPar [#models]: Unable to contact the polyview server at this time. Please try again later.

External links

Retrieved from "http://hi.gher.space/wiki/Bitrigonal_diminished_pyrocantichoron"