h-net: hqc1004


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{3,3}
2D vertex symbol {4.12.6}{6.12.12}
Vertex coordination sequence [(3, 6, 9, 12, 19, 30, 43, 58, 81, 120), (3, 5, 8, 13, 20, 28, 39, 57, 83, 118)]
Delaney-Dress Symbol <1004.2:9:1 2 3 5 7 8 9,2 4 5 8 9,3 8 6 7 9:4 6 12,3 3>
Dual net hqc1173

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 sqc13774 Pm-3m 221 cubic {3,3} 72 (2,4)
Full image sqc13765 I4132 214 cubic {3,3,3} 72 (3,5)
Full image sqc11723 P4232 208 cubic {3,3} 36 (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 UQC1104 *2223 (2,4,3) {3,3} {4.12.6}{6.12.12} Snet sqc13774 Snet sqc13765 Snet sqc11723

Symmetry-lowered hyperbolic tilings