h-net: hqc1091


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{6,4,4,3}
2D vertex symbol {4.4.4.4.4.4}{4.5.5.4}{5.5.5.5}{5.5.5}
Vertex coordination sequence [(6, 18, 48, 114, 264, 612, 1434, 3366, 7902, 18516), (4, 12, 28, 66, 154, 362, 848, 1990, 4660, 10926), (4, 10, 22, 50, 126, 294, 696, 1616, 3792, 8878), (3, 9, 18, 42, 96, 243, 567, 1332, 3093, 7269)]
Delaney-Dress Symbol <1091.2:9:1 3 4 5 7 9,2 4 6 8 9,1 2 3 5 6 7 8 9:4 5,6 4 4 3>
Dual net hqc925

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 sqc11664 P4232 208 cubic {6,4,4,3} 26 (4,5)
Full image sqc11658 I213 199 cubic {6,4,4,3} 26 (4,5)
Full image sqc11647 F-43m 216 cubic {6,4,4,3} 26 (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 UQC4256 *2323 (4,5,2) {6,4,4,3} {4.4.4.4.4.4}{4.5.5.4}{5.5.5.5}{... Snet sqc11664 Snet sqc11658 Snet sqc11647

Symmetry-lowered hyperbolic tilings