h-net: hqc357


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{5,6}
2D vertex symbol {4.3.4.3.4}{3.4.3.4.3.4}
Vertex coordination sequence [(5, 15, 34, 71, 159, 348, 743, 1635, 3564, 7691), (6, 15, 33, 78, 162, 348, 789, 1677, 3624, 8034)]
Delaney-Dress Symbol <357.2:7:1 2 3 5 7,2 4 5 6 7,1 3 6 7:4 3 4,5 6>
Dual net hqc547

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 sqc13131 Pm-3m 221 cubic {5,6} 32 (2,3)
Full image sqc13088 I4132 214 cubic {5,6} 32 (2,4)
Full image sqc10031 P4232 208 cubic {5,6} 16 (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 UQC529 *2223 (2,3,3) {5,6} {4.3.4.3.4}{3.4.3.4.3.4} Snet sqc13131 Snet sqc13088 Snet sqc10031

Symmetry-lowered hyperbolic tilings