h-net: hqc1831


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,4,4}
2D vertex symbol {9.4.4.9}{9.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 8, 14, 24, 36, 60, 92, 144, 228, 352), (3, 7, 12, 20, 34, 50, 82, 127, 197, 316), (4, 8, 12, 20, 36, 52, 84, 132, 204, 324), (4, 6, 10, 18, 30, 50, 70, 114, 184, 280)]
Delaney-Dress Symbol <1831.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:9 4,4 3 4 4>
Dual net hqc1630

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 sqc14143 Pm-3m 221 cubic {4,3,4,4} 72 (4,5)
Full image sqc14146 I4132 214 cubic {4,3,4,4} 72 (4,6)
Full image sqc12567 P4232 208 cubic {4,4,3,4} 36 (4,5)

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 UQC5004 *2223 (4,5,2) {4,3,4,4} {9.4.4.9}{9.4.4}{4.4.4.4}{4.4.4.4} Snet sqc14143 Snet sqc14146 Snet sqc12567

Symmetry-lowered hyperbolic tilings