h-net: hqc1258


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,6,6}
2D vertex symbol {5.8.8.5}{5.5.8}{8.8.8.8.8.8}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 12, 36, 84, 224, 568, 1442, 3760, 9810, 24570), (3, 11, 26, 71, 183, 502, 1221, 3165, 8068, 20929), (6, 18, 42, 120, 270, 678, 1914, 4860, 12102, 32394), (6, 12, 24, 78, 234, 534, 1506, 3510, 8976, 24456)]
Delaney-Dress Symbol <1258.2:9:1 3 5 7 9,2 8 6 5 7 9,1 4 5 6 7 8 9:5 8,4 3 6 6>
Dual net hqc1068

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 sqc6198 R-3m 166 rhombohedral {4,3,6,6} 14 (4,4)
Full image sqc6193 R-3 148 rhombohedral {4,3,6,6} 14 (4,5)
Full image sqc6194 R-3 148 rhombohedral {4,3,6,6} 14 (4,5)
Full image sqc6195 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 UQC4414 *2626 (4,4,2) {4,3,6,6} {5.8.8.5}{5.5.8}{8.8.8.8.8.8}{5.... Snet sqc6198 Snet sqc6194 Snet sqc6195
Tiling details UQC4415 *2626 (4,4,2) {4,3,6,6} {5.8.8.5}{5.5.8}{8.8.8.8.8.8}{5.... Snet sqc6195 Snet sqc6193 Snet sqc6198

Symmetry-lowered hyperbolic tilings