h-net: hqc2076


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,4,6,4,12}
2D vertex symbol {4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(6, 12, 30, 144, 426, 1764, 5106, 21504, 62430), (4, 14, 56, 160, 680, 1978, 8300, 24080, 101236), (6, 28, 82, 344, 998, 4196, 12178, 51184), (4, 24, 72, 296, 856, 3608, 10476, 44016), (12, 36, 156, 456, 1908, 5532, 23268, 67536)]
Delaney-Dress Symbol <2076.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,6 4 6 4 12>
Dual net hqc1944

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 sqc8846 R-3m 166 rhombohedral {6,4,6,4,12} 14 (5,5)
Full image sqc8919 R-3 148 rhombohedral {6,4,6,4,12} 14 (5,6)
Full image sqc8920 R-3 148 rhombohedral {6,4,6,4,12} 14 (5,6)
Full image sqc8921 R-3m 166 rhombohedral {6,4,6,4,12} 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 UQC5436 *2626 (5,5,2) {6,4,6,4,12} {4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4... Snet sqc8846 Snet sqc8919 Snet sqc8921
Tiling details UQC5437 *2626 (5,5,2) {6,4,6,4,12} {4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4... Snet sqc8921 Snet sqc8920 Snet sqc8846

Symmetry-lowered hyperbolic tilings