h-net: hqc1165


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,6,6}
2D vertex symbol {3.12.12.3}{3.12.12}{12.12.12.12.12.12}{12.12.12.12.12.12}
Vertex coordination sequence [(4, 8, 30, 50, 120, 358, 732, 1490, 4934, 9220), (3, 8, 21, 50, 95, 338, 593, 1394, 3907, 8660), (6, 18, 18, 90, 210, 264, 1074, 3006, 3522, 14286), (6, 12, 18, 66, 210, 234, 954, 2346, 3546, 11496)]
Delaney-Dress Symbol <1165.2:9:1 3 5 7 9,2 3 6 8 7 9,1 4 5 6 7 8 9:3 12,4 3 6 6>
Dual net hqc1077

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 sqc6200 R-3m 166 rhombohedral {4,3,6,6} 14 (4,4)
Full image sqc6196 R-3m 166 rhombohedral {4,3,6,6} 14 (4,5)
Full image sqc6199 R-3m 166 rhombohedral {4,3,6,6} 14 (4,5)
Full image sqc6197 R-3m 166 rhombohedral {4,3,6,6} 14 (4,4)

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 UQC4315 *2626 (4,4,2) {4,3,6,6} {3.12.12.3}{3.12.12}{12.12.12.12... Snet sqc6200 Snet sqc6199 Snet sqc6197
Tiling details UQC4316 *2626 (4,4,2) {4,3,6,6} {3.12.12.3}{3.12.12}{12.12.12.12... Snet sqc6197 Snet sqc6196 Snet sqc6200

Symmetry-lowered hyperbolic tilings