h-net: hqc1887


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,6,4,6}
2D vertex symbol {7.4.7}{7.7.4.4}{4.4.4.4.4.4}{7.7.7.7}{7.7.7.7.7.7}
Vertex coordination sequence [(3, 7, 17, 45, 116, 345, 891, 2455, 6229, 17274), (4, 10, 26, 62, 200, 498, 1438, 3540, 10010, 24766), (6, 12, 24, 90, 228, 714, 1728, 4812, 11742, 33996), (4, 16, 44, 128, 312, 876, 2132, 6240, 15296, 44500), (6, 18, 66, 162, 438, 1044, 3030, 7422, 21894, 53574)]
Delaney-Dress Symbol <1887.2:11:1 3 5 7 9 11,2 8 4 6 7 10 11,1 4 5 6 7 8 9 10 11:7 4,3 4 6 4 6>
Dual net hqc1687

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 sqc8236 R-3m 166 rhombohedral {3,4,6,4,6} 17 (5,5)
Full image sqc8202 R-3 148 rhombohedral {3,4,6,4,6} 17 (5,6)
Full image sqc8206 R-3 148 rhombohedral {3,4,6,4,6} 17 (5,6)
Full image sqc8201 R-3m 166 rhombohedral {3,4,6,4,6} 17 (5,5)

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 UQC5303 *2626 (5,5,2) {3,4,6,4,6} {7.4.7}{7.7.4.4}{4.4.4.4.4.4}{7.... Snet sqc8236 Snet sqc8206 Snet sqc8201
Tiling details UQC5304 *2626 (5,5,2) {3,4,6,4,6} {7.4.7}{7.7.4.4}{4.4.4.4.4.4}{7.... Snet sqc8201 Snet sqc8202 Snet sqc8236

Symmetry-lowered hyperbolic tilings