h-net: hqc1602


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,4,18,4}
2D vertex symbol {8.8.8.8.8.8}{8.3.3.8}{8.3.3.8.3.3.8.3.3.8.3.3.8.3.3.8.3.3}{3.3.3.3}
Vertex coordination sequence [(6, 18, 186, 180, 1494, 2622, 24714, 29640, 260886), (4, 36, 46, 408, 598, 5484, 7232, 64944), (18, 18, 150, 264, 2490, 2982, 26238, 39312), (4, 32, 40, 280, 740, 4416, 7364, 47796)]
Delaney-Dress Symbol <1602.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:8 3,6 4 18 4>
Dual net hqc1373

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 sqc7053 R-3m 166 rhombohedral {6,4,18,4} 11 (4,4)
Full image sqc7054 R-3m 166 rhombohedral {6,4,18,4} 11 (4,5)
Full image sqc7055 R-3m 166 rhombohedral {6,4,18,4} 11 (4,5)
Full image sqc7191 R-3m 166 rhombohedral {6,4,18,4} 11 (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 UQC4753 *2626 (4,4,2) {6,4,18,4} {8.8.8.8.8.8}{8.3.3.8}{8.3.3.8.3... Snet sqc7053 Snet sqc7054 Snet sqc7191
Tiling details UQC4754 *2626 (4,4,2) {6,4,18,4} {8.8.8.8.8.8}{8.3.3.8}{8.3.3.8.3... Snet sqc7191 Snet sqc7055 Snet sqc7053

Symmetry-lowered hyperbolic tilings