h-net: hqc2209


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,3,4,4,6}
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, 34, 60, 110, 204, 368, 667, 1201), (3, 8, 16, 36, 61, 120, 215, 390, 700, 1272), (4, 12, 24, 44, 88, 148, 284, 494, 920, 1618), (4, 16, 30, 56, 100, 184, 324, 600, 1058, 1952), (6, 15, 30, 51, 102, 180, 330, 585, 1074, 1893)]
Delaney-Dress Symbol <2209.2:13:1 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 4 6>
Dual net hqc2133

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 sqc14319 Pm-3m 221 cubic {4,3,4,4,6} 80 (5,6)
Full image sqc14320 I4132 214 cubic {4,3,4,4,6} 80 (5,7)
Full image sqc12923 P4232 208 cubic {3,4,4,6,4} 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 UQC5545 *2223 (5,6,2) {4,3,4,4,6} {3.5.5.3}{3.5.5}{5.5.5.5}{5.5.5.... Snet sqc14319 Snet sqc14320 Snet sqc12923

Symmetry-lowered hyperbolic tilings