h-net: hqc311


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,2,2)
Vertex degrees{4,3,3}
2D vertex symbol {4.8.4.8}{4.8.8}{8.8.8}
Vertex coordination sequence [(4, 6, 12, 20, 40, 50, 96, 144, 280, 366), (3, 7, 11, 22, 31, 61, 83, 160, 225, 435), (3, 6, 15, 18, 33, 54, 105, 132, 255, 378)]
Delaney-Dress Symbol <311.2:6:2 4 6,1 2 3 5 6,3 4 5 6:4 8,4 3 3>
Dual net hqc227

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 sqc12865 epn Pm-3m 221 cubic {4,3,3} 44 (3,2)
Full image sqc12867 I4132 214 cubic {4,3,3} 44 (3,3)
Full image sqc9235 tot P4232 208 cubic {4,3,3} 22 (3,2)

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 UQC3300 *2223 (3,2,2) {4,3,3} {4.8.4.8}{4.8.8}{8.8.8} Snet sqc12865 Snet sqc12867 Snet sqc9235

Symmetry-lowered hyperbolic tilings