h-net: hqc426


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{5,12}
2D vertex symbol {6.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(5, 22, 45, 136, 339, 841, 2234, 5617, 14405, 37110), (12, 18, 72, 168, 408, 1134, 2772, 7152, 18540, 46866)]
Delaney-Dress Symbol <426.2:7:1 2 4 6 7,1 3 4 7 6,2 5 6 7:6 3 3,5 12>
Dual net hqc565

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 sqc13042 Pn-3m 224 cubic {5,12} 28 (2,3)
Full image sqc13039 Ia-3 206 cubic {5,12} 28 (2,4)
Full image sqc13041 Fd-3m 227 cubic {5,12} 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 UQC646 *266 (2,3,3) {5,12} {6.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.... Snet sqc13042 Snet sqc13039 Snet sqc13041

Symmetry-lowered hyperbolic tilings