h-net: hqc2241


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,4,3,6}
2D vertex symbol {7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 36, 68, 128, 268, 524, 1032, 2044, 4028), (4, 12, 24, 50, 106, 202, 410, 810, 1600, 3168), (4, 6, 11, 23, 56, 112, 216, 438, 863, 1710), (3, 5, 7, 17, 37, 81, 156, 307, 627, 1227), (6, 3, 9, 21, 45, 96, 186, 369, 753, 1467)]
Delaney-Dress Symbol <2241.2:13:1 3 5 7 9 11 13,2 4 6 7 10 13 12,1 2 3 4 5 8 9 10 11 12 13:7 3,4 4 4 3 6>
Dual net hqc2172

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 sqc14342 Pm-3m 221 cubic {4,4,4,3,6} 80 (5,6)
Full image sqc14339 I4132 214 cubic {4,4,4,3,6} 80 (5,7)
Full image sqc12887 P4232 208 cubic {4,3,6,4,4} 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 UQC5661 *2223 (5,6,2) {4,4,4,3,6} {7.7.7.7}{7.7.7.7}{7.3.3.7}{7.3.... Snet sqc14342 Snet sqc14339 Snet sqc12887

Symmetry-lowered hyperbolic tilings