h-net: hqc533


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{4,12,6}
2D vertex symbol {3.8.8.3}{3.8.3.8.3.8.3.8.3.8.3.8}{8.8.8.8.8.8}
Vertex coordination sequence [(4, 26, 50, 318, 704, 4128, 8920, 51306), (12, 18, 120, 264, 1776, 3222, 20532, 45624), (6, 18, 126, 204, 1254, 3138, 18018, 37092, 213258)]
Delaney-Dress Symbol <533.2:7:1 3 5 7,2 3 6 5 7,1 4 5 6 7:3 8,4 12 6>
Dual net hqc450

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 sqc3932 R-3m 166 rhombohedral {4,12,6} 8 (3,3)
Full image sqc3931 R-3m 166 rhombohedral {4,12,6} 8 (3,4)
Full image sqc3933 R-3m 166 rhombohedral {4,12,6} 8 (3,4)
Full image sqc3956 R-3m 166 rhombohedral {4,12,6} 8 (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 UQC3432 *2626 (3,3,2) {4,12,6} {3.8.8.3}{3.8.3.8.3.8.3.8.3.8.3.... Snet sqc3932 Snet sqc3931 Snet sqc3956
Tiling details UQC3433 *2626 (3,3,2) {4,12,6} {3.8.8.3}{3.8.3.8.3.8.3.8.3.8.3.... Snet sqc3956 Snet sqc3933 Snet sqc3932

Symmetry-lowered hyperbolic tilings