h-net: hqc2266


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,12,4,6}
2D vertex symbol {7.3.3.7}{7.7.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}{7.7.7.7}{7.7.7.7.7.7}
Vertex coordination sequence [(4, 14, 26, 64, 214, 556, 1572, 4366, 11550, 30856), (4, 14, 28, 86, 234, 652, 1706, 5084, 12348, 36476), (12, 12, 36, 132, 288, 840, 2712, 6048, 18180, 47880), (4, 16, 52, 128, 404, 932, 2756, 6980, 20280, 50896), (6, 18, 66, 210, 438, 1368, 3366, 9558, 24618, 72690)]
Delaney-Dress Symbol <2266.2:13:1 3 5 7 9 11 13,2 10 6 9 8 12 13,1 4 5 6 7 8 9 10 11 12 13:7 3,4 4 12 4 6>
Dual net hqc2192

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 sqc9326 R-3m 166 rhombohedral {4,4,12,4,6} 17 (5,6)
Full image sqc9316 R-3 148 rhombohedral {4,4,12,4,6} 17 (5,7)
Full image sqc9317 R-3 148 rhombohedral {4,4,12,4,6} 17 (5,7)
Full image sqc9315 R-3m 166 rhombohedral {4,4,12,4,6} 17 (5,6)

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 UQC5733 *2626 (5,6,2) {4,4,12,4,6} {7.3.3.7}{7.7.3.3}{3.3.3.3.3.3.3... Snet sqc9326 Snet sqc9317 Snet sqc9315
Tiling details UQC5734 *2626 (5,6,2) {4,4,12,4,6} {7.3.3.7}{7.7.3.3}{3.3.3.3.3.3.3... Snet sqc9315 Snet sqc9316 Snet sqc9326

Symmetry-lowered hyperbolic tilings