h-net: hqc817


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,12,12}
2D vertex symbol {3.5.5.3}{3.5.3.5.3.5.3.5.3.5.3.5}{5.5.5.5.5.5.5.5.5.5.5.5}
Vertex coordination sequence [(4, 32, 116, 844, 4520, 26720, 147608), (12, 18, 180, 900, 5976, 31914, 184260), (12, 84, 528, 2844, 16068, 90096)]
Delaney-Dress Symbol <817.2:8:1 3 5 7 8,2 3 6 5 8,1 4 5 6 7 8:3 5,4 12 12>
Dual net hqc680

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 sqc4765 R-3m 166 rhombohedral {4,12,12} 8 (3,4)
Full image sqc4740 R-3m 166 rhombohedral {4,12,12} 8 (3,5)
Full image sqc4766 R-3m 166 rhombohedral {4,12,12} 8 (3,5)
Full image sqc4759 R-3m 166 rhombohedral {4,12,12} 8 (3,4)

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 UQC3710 *2626 (3,4,2) {4,12,12} {3.5.5.3}{3.5.3.5.3.5.3.5.3.5.3.... Snet sqc4765 Snet sqc4766 Snet sqc4759
Tiling details UQC3711 *2626 (3,4,2) {4,12,12} {3.5.5.3}{3.5.3.5.3.5.3.5.3.5.3.... Snet sqc4759 Snet sqc4740 Snet sqc4765

Symmetry-lowered hyperbolic tilings