h-net: hqc360


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{5,4}
2D vertex symbol {4.3.6.3.4}{3.6.3.6}
Vertex coordination sequence [(5, 12, 27, 55, 107, 220, 445, 882, 1785, 3607), (4, 12, 24, 50, 104, 202, 406, 840, 1656, 3330)]
Delaney-Dress Symbol <360.2:7:1 2 3 5 7,2 4 5 6 7,1 3 6 7:4 3 6,5 4>
Dual net hqc540

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 sqc13141 Pm-3m 221 cubic {5,4} 36 (2,3)
Full image sqc13140 I4132 214 cubic {5,4} 36 (2,4)
Full image sqc10058 P4232 208 cubic {5,4} 18 (2,3)

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 UQC542 *2223 (2,3,3) {5,4} {4.3.6.3.4}{3.6.3.6} Snet sqc13141 Snet sqc13140 Snet sqc10058

Symmetry-lowered hyperbolic tilings