h-net: hqc1822


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{24,3,4,12}
2D vertex symbol {3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(24, 144, 960, 5880, 37632, 236748), (3, 52, 255, 1848, 11047, 71640), (4, 64, 304, 2248, 13340, 86848), (12, 18, 300, 1500, 10764, 64434)]
Delaney-Dress Symbol <1822.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,24 3 4 12>
Dual net hqc1649

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 sqc8181 R-3m 166 rhombohedral {24,3,4,12} 11 (4,5)
Full image sqc8173 R-3m 166 rhombohedral {24,3,4,12} 11 (4,6)
Full image sqc8186 R-3m 166 rhombohedral {24,3,4,12} 11 (4,6)
Full image sqc8192 R-3m 166 rhombohedral {24,3,4,12} 11 (4,5)

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 UQC4970 *2626 (4,5,2) {24,3,4,12} {3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3... Snet sqc8181 Snet sqc8173 Snet sqc8192
Tiling details UQC4971 *2626 (4,5,2) {24,3,4,12} {3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3... Snet sqc8192 Snet sqc8186 Snet sqc8181

Symmetry-lowered hyperbolic tilings