h-net: hqc2376


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,24,4,12}
2D vertex symbol {3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 44, 60, 672, 1156, 10964, 18680, 179652), (4, 52, 60, 848, 996, 13900, 16284, 227552), (24, 24, 360, 432, 5976, 6984, 97704), (4, 64, 76, 1056, 1236, 17280, 20252, 282944), (12, 24, 300, 336, 4788, 5640, 78612)]
Delaney-Dress Symbol <2376.2:14:2 4 6 8 10 12 14,3 6 5 9 14 11 13,1 2 3 4 7 8 9 10 11 12 13 14:3 4,4 4 24 4 12>
Dual net hqc2321

Derived s-nets

s-nets with faithful topology

4 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc9961 R-3m 166 rhombohedral {4,4,24,4,12} 14 (5,6)
Full image sqc9943 R-3m 166 rhombohedral {4,4,24,4,12} 14 (5,7)
Full image sqc9945 R-3m 166 rhombohedral {4,4,24,4,12} 14 (5,7)
Full image sqc9944 R-3m 166 rhombohedral {4,4,24,4,12} 14 (5,6)

s-nets with edge collapse

No items to display.

Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5820 *2626 (5,6,2) {4,4,24,4,12} {3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4... Snet sqc9961 Snet sqc9945 Snet sqc9944
Tiling details UQC5821 *2626 (5,6,2) {4,4,24,4,12} {3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4... Snet sqc9944 Snet sqc9943 Snet sqc9961

Symmetry-lowered hyperbolic tilings