h-net: hqc403


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{4,18}
2D vertex symbol {6.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(18, 90, 444, 2118, 10158, 48660), (4, 31, 149, 733, 3506, 16806, 80518)]
Delaney-Dress Symbol <403.2:7:1 2 4 6 7,1 3 4 5 7,2 5 6 7:6 3 3,4 18>
Dual net hqc521

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 sqc13035 Pn-3m 224 cubic {18,4} 28 (2,3)
Full image sqc13028 Ia-3 206 cubic {18,4} 28 (2,4)
Full image sqc13026 Fd-3m 227 cubic {18,4} 28 (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 UQC614 *266 (2,3,3) {4,18} {6.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.... Snet sqc13035 Snet sqc13028 Snet sqc13026

Symmetry-lowered hyperbolic tilings