h-net: hqc2211


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,3,4,6,4}
2D vertex symbol {3.5.5.3}{3.5.5}{5.5.5.5}{5.5.5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(4, 6, 16, 36, 74, 142, 292, 536, 1091, 2007), (3, 6, 15, 36, 73, 143, 293, 537, 1091, 2007), (4, 16, 28, 64, 116, 252, 428, 954, 1592, 3566), (6, 18, 42, 72, 162, 270, 606, 1008, 2262, 3762), (4, 14, 28, 64, 116, 254, 428, 954, 1592, 3566)]
Delaney-Dress Symbol <2211.2:13:1 3 5 7 9 11 13,2 3 6 13 8 10 12,1 4 5 6 7 8 9 10 11 12 13:3 5,4 3 4 6 4>
Dual net hqc2135

Derived s-nets

s-nets with faithful topology

3 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 sqc14316 Pm-3m 221 cubic {4,3,4,6,4} 80 (5,6)
Full image sqc14315 I4132 214 cubic {4,3,4,6,4} 80 (5,7)
Full image sqc12921 P4232 208 cubic {3,4,6,4,4} 40 (5,6)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5548 *2223 (5,6,2) {4,3,4,6,4} {3.5.5.3}{3.5.5}{5.5.5.5}{5.5.5.... Snet sqc14316 Snet sqc14315 Snet sqc12921

Symmetry-lowered hyperbolic tilings