h-net: hqc314


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,2,2)
Vertex degrees{12,3,6}
2D vertex symbol {4.8.4.8.4.8.4.8.4.8.4.8}{4.8.8}{8.8.8.8.8.8}
Vertex coordination sequence [(12, 18, 120, 204, 1776, 2694, 19932, 32280, 263796), (3, 26, 41, 308, 495, 4014, 6261, 48424), (6, 12, 126, 180, 1194, 2028, 17634, 26760, 198126)]
Delaney-Dress Symbol <314.2:6:2 4 6,1 2 3 5 6,3 4 5 6:4 8,12 3 6>
Dual net hqc245

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 sqc2583 epu R-3m 166 rhombohedral {12,3,6} 8 (3,2)
Full image sqc2584 R-3m 166 rhombohedral {12,3,6} 8 (3,3)
Full image sqc2585 R-3m 166 rhombohedral {12,3,6} 8 (3,3)
Full image sqc2885 epv R-3m 166 rhombohedral {12,3,6} 8 (3,2)

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 UQC3304 *2626 (3,2,2) {12,3,6} {4.8.4.8.4.8.4.8.4.8.4.8}{4.8.8}... Snet sqc2583 Snet sqc2585 Snet sqc2885
Tiling details UQC3305 *2626 (3,2,2) {12,3,6} {4.8.4.8.4.8.4.8.4.8.4.8}{4.8.8}... Snet sqc2885 Snet sqc2584 Snet sqc2583

Symmetry-lowered hyperbolic tilings