h-net: hqc164


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{3,4}
2D vertex symbol {6.6.6}{6.6.6.6}
Vertex coordination sequence [(3, 8, 15, 27, 50, 89, 158, 285, 508, 905), (4, 8, 16, 30, 52, 94, 170, 300, 538, 966)]
Delaney-Dress Symbol <164.2:5:1 3 5,2 3 4 5,1 4 5:6 6,3 4>
Dual net hqc148

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 sqc12293 ucp Pm-3m 221 cubic {3,4} 36 (2,2)
Full image sqc12294 I4132 214 cubic {3,4} 36 (2,3)
Full image sqc7390 P4232 208 cubic {4,3} 18 (2,2)

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 UQC178 *2223 (2,2,2) {3,4} {6.6.6}{6.6.6.6} Snet sqc12293 Snet sqc12294 Snet sqc7390

Symmetry-lowered hyperbolic tilings