h-net: hqc31


Topological data

Orbifold symbol*488
Transitivity (vertex, edge, ring)(2,1,1)
Vertex degrees{4,8}
2D vertex symbol {16.16.16.16}{16.16.16.16.16.16.16.16}
Vertex coordination sequence [(4, 28, 84, 588, 1764, 12348, 37044, 259304), (8, 24, 168, 504, 3528, 10584, 74088)]
Delaney-Dress Symbol <31.1:2:2,1 2,1 2:16,4 8>
Dual net hqc23

Derived s-nets

s-nets with faithful topology

2 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 sqc169 flu Fm-3m 225 cubic {4,8} 3 (2,1)
Full image sqc168 epx I-4m2 119 tetragonal {4,8,4} 3 (3,2)

s-nets with edge collapse


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 UQC70 *4444 (3,2,1) {4,8,4} {16.16.16.16}{16.16.16.16.16.16.... Snet sqc11 Snet sqc169 Snet sqc168

Symmetry-lowered hyperbolic tilings