Bilunabirotunda pseudopyramid (EntityTopic, 14)

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The bilunabirotunda pseudopyramid or J91 || digon is the first non-trivial, non-orbiform monostratic CRF polychoron to be discovered, and the first among the pseudopyramids. It was found by student91 on February 23, 2014.

(image)

Coordinates

J91:
<±1, 0, ±φ2, 0>
<±φ, ±1, ±1, 0>
<0, ±φ, 0, 0>

digon:
<0, 0, ±1, 1φ>

Incidence matrix

Dual: (dual of bilunabirotunda pseudopyramid)

#TXIDVaVbVcVdEaEbEcEdEeEfEgEhEi3a3b4a5a4b3c3d3e3f3gC1aC2aC3aC4aC5aTypeName
0 Va = point ; cuboid corners
1 Vb = point ; crosses
2 Vc = point ; ends
3 Vd = point ; apices
4 Ea 2000 = digon ; vertical cuboid
5 Eb 2000 = digon ; horizontal cuboid
6 Ec 1100 = digon ; cross-to-cuboid
7 Ed 1010 = digon ; end-to-cuboid
8 Ee 0020 = digon ; ends
9 Ef 0002 = digon ; roof
10 Eg 1001 = digon ; cuboid-to-apex
11 Eh 0101 = digon ; cross-to-apex
12 Ei 0011 = digon ; ends-to-apex
13 3a 2100102000000 = triangle ; cross
14 3b 2010010200000 = triangle ; diagonals
15 4a 4000220000000 = square ; cuboid end
16 5a 2120002210000 = pentagon ;
17 4b 2002100001200 = square ; vert-to-roof
18 3c 2001010000200 = triangle ; horz-to-roof
19 3d 0102000001020 = triangle ; cross-to-roof
20 3e 1011000100101 = triangle ; diag-to-roof
21 3f 0021000010002 = triangle ; end-to-roof
22 3g 1101001000110 = triangle ; cross-cuboid-roof
23 C1a 82404488200004424000000 = bilunabirotunda ;
24 C2a 21021020012201000101002 = square pyramid ;
25 C3a 20110102002010100010200 = tetrahedron ;
26 C4a 40022200014000010220000 = triangular prism ;
27 C5a 21210022102120001000212 = pentagonal pyramid ;
28 H4.1a 8242448821844442444282814424 = bilunabirotunda pseudopyramid ;

Usage as facets

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

Software models