h-net: hqc176


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,3,1)
Vertex degrees{12,4,6}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5}{5.5.5.5.5.5}
Vertex coordination sequence [(12, 84, 540, 3360, 21324, 134628), (4, 32, 184, 1240, 7680, 49048), (6, 18, 150, 900, 5970, 37014, 236010)]
Delaney-Dress Symbol <176.1:5:1 3 5,2 4 5,1 2 3 4 5:5,12 4 6>
Dual net hqc111

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 sqc1450 R-3m 166 rhombohedral {12,4,6} 5 (3,3)
Full image sqc1445 R-3m 166 rhombohedral {12,4,6} 5 (3,3)
Full image sqc1455 R-3m 166 rhombohedral {12,4,6} 5 (3,3)
Full image sqc1453 R-3m 166 rhombohedral {12,4,6} 5 (3,3)

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 UQC77 *2626 (3,3,1) {12,4,6} {5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.... Snet sqc1450 Snet sqc1445 Snet sqc1453
Tiling details UQC78 *2626 (3,3,1) {12,4,6} {5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.... Snet sqc1453 Snet sqc1455 Snet sqc1450

Symmetry-lowered hyperbolic tilings