h-net: hqc1032


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{3,3}
2D vertex symbol {12.4.18}{18.4.4}
Vertex coordination sequence [(3, 4, 6, 10, 14, 20, 28, 38, 53, 74), (3, 5, 7, 10, 15, 21, 29, 41, 57, 78)]
Delaney-Dress Symbol <1032.2:9:1 2 3 5 7 8 9,2 4 5 8 9,3 8 6 7 9:12 18 4,3 3>
Dual net hqc1169

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 sqc13772 Pn-3m 224 cubic {3,3} 72 (2,4)
Full image sqc13768 Ia-3 206 cubic {3,3,3} 72 (3,5)
Full image sqc13770 Fd-3m 227 cubic {3,3} 72 (2,4)

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 UQC1147 *266 (2,4,3) {3,3} {12.4.18}{18.4.4} Snet sqc13772 Snet sqc13768 Snet sqc13770

Symmetry-lowered hyperbolic tilings