h-net: hqc44


Topological data

Orbifold symbol*24(12)
Transitivity (vertex, edge, ring)(2,2,1)
Vertex degrees{8,12}
2D vertex symbol {3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(12, 48, 276, 1248, 6444, 30864, 154164), (8, 48, 216, 1120, 5352, 26768, 130488)]
Delaney-Dress Symbol <44.1:3:1 3,2 3,1 2 3:3,8 12>
Dual net hqc41

Derived s-nets

s-nets with faithful topology

6 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 sqc2662 R-3m 166 rhombohedral {8,12} 4 (2,3)
Full image sqc8405 I41/a 88 tetragonal {8,12,8} 8 (3,5)
Full image sqc8495 I-42d 122 tetragonal {8,12,8} 8 (3,5)
Full image sqc8603 R-3c 167 rhombohedral {12,8} 8 (2,4)
Full image sqc2358 P-42m 111 tetragonal {8,8,12} 4 (3,4)
Full image sqc8404 I41/amd 141 tetragonal {8,12,8} 8 (3,4)

s-nets with edge collapse


Derived U-tilings

3 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4060 *2244b (3,4,2) {8,12,8} {3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.... Snet sqc1842 Snet sqc8405 Snet sqc8404
Tiling details UQC4061 *2244a (3,4,2) {8,12,8} {3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.... Snet sqc8285 Snet sqc8495 Snet sqc2358
Tiling details UQC5216 *2626 (4,5,2) {12,8,8,12} {3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.... Snet sqc2662 Snet sqc8603 Snet sqc2662

Symmetry-lowered hyperbolic tilings