h-net: hqc1663


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{4,18}
2D vertex symbol {12.4.3.4}{3.4.4.3.4.4.3.4.4.3.4.4.3.4.4.3.4.4}
Vertex coordination sequence [(18, 114, 600, 3138, 16506, 87012), (4, 22, 133, 729, 3861, 20340, 107194)]
Delaney-Dress Symbol <1663.2:11:1 2 3 4 5 7 9 10 11,2 4 6 7 10 11,3 10 5 8 9 11:12 4 3 4,4 18>
Dual net hqc1835

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 sqc8194 R-3m 166 rhombohedral {18,4} 13 (2,5)
Full image sqc8176 R-3 148 rhombohedral {18,4,4} 13 (3,6)
Full image sqc8193 R-3 148 rhombohedral {18,4,4} 13 (3,6)
Full image sqc8184 R-3m 166 rhombohedral {18,4} 13 (2,5)

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 UQC2043 *2626 (2,5,4) {18,4} {12.4.3.4}{3.4.4.3.4.4.3.4.4.3.4... Snet sqc8194 Snet sqc8193 Snet sqc8184
Tiling details UQC2044 *2626 (2,5,4) {18,4} {12.4.3.4}{3.4.4.3.4.4.3.4.4.3.4... Snet sqc8184 Snet sqc8176 Snet sqc8194

Symmetry-lowered hyperbolic tilings