h-net: hqc2105


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,4,4,6,12}
2D vertex symbol {6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{6.3.3.6.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 18, 60, 222, 594, 1920, 5262, 16866, 47460), (4, 16, 56, 164, 524, 1468, 4628, 13132, 41256), (4, 18, 50, 142, 420, 1296, 3792, 11698, 34234, 104878), (6, 22, 48, 170, 442, 1472, 4150, 13126, 37888, 116778), (12, 24, 84, 204, 708, 1908, 6324, 17652, 56148)]
Delaney-Dress Symbol <2105.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,6 4 4 6 12>
Dual net hqc1993

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 sqc8941 R-3m 166 rhombohedral {6,4,4,6,12} 14 (5,5)
Full image sqc8545 R-3 148 rhombohedral {6,4,4,6,12} 14 (5,6)
Full image sqc8551 R-3 148 rhombohedral {6,4,4,6,12} 14 (5,6)
Full image sqc8552 R-3m 166 rhombohedral {6,4,4,6,12} 14 (5,5)

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 UQC5479 *2626 (5,5,2) {6,4,4,6,12} {6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{... Snet sqc8941 Snet sqc8545 Snet sqc8552
Tiling details UQC5480 *2626 (5,5,2) {6,4,4,6,12} {6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{... Snet sqc8552 Snet sqc8551 Snet sqc8941

Symmetry-lowered hyperbolic tilings