h-net: hqc2158


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,6,5)
Vertex degrees{4,5}
2D vertex symbol {6.4.3.4}{3.4.4.4.4}
Vertex coordination sequence [(5, 12, 21, 34, 55, 90, 149, 246, 403, 658), (4, 9, 17, 30, 51, 84, 136, 221, 361, 591)]
Delaney-Dress Symbol <2158.2:13:1 2 3 4 5 7 9 10 11 12 13,2 4 6 7 10 11 13,3 10 5 8 9 12 13:6 4 3 4 4,4 5>
Dual net hqc2227

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 sqc14329 Pm-3m 221 cubic {5,4} 72 (2,6)
Full image sqc14333 I4132 214 cubic {5,4,4} 72 (3,7)
Full image sqc12935 P4232 208 cubic {5,4} 36 (2,6)

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 UQC2797 *2223 (2,6,5) {5,4} {6.4.3.4}{3.4.4.4.4} Snet sqc14329 Snet sqc14333 Snet sqc12935

Symmetry-lowered hyperbolic tilings