h-net: hqc1088


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,4,3}
2D vertex symbol {4.4.4.4}{4.5.5.4}{5.5.5.5}{5.5.5}
Vertex coordination sequence [(4, 8, 16, 28, 48, 80, 136, 232, 396, 668), (4, 10, 18, 32, 54, 92, 156, 266, 450, 764), (4, 10, 18, 30, 54, 90, 156, 260, 444, 750), (3, 9, 18, 30, 48, 87, 147, 252, 417, 717)]
Delaney-Dress Symbol <1088.2:9:1 3 4 5 7 9,2 4 6 8 9,1 2 3 5 6 7 8 9:4 5,4 4 4 3>
Dual net hqc924

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 sqc13738 Pm-3m 221 cubic {4,4,4,3} 56 (4,5)
Full image sqc13739 I4132 214 cubic {4,4,4,3} 56 (4,5)
Full image sqc11608 P4232 208 cubic {4,3,4,4} 28 (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 UQC4251 *2223 (4,5,2) {4,4,4,3} {4.4.4.4}{4.5.5.4}{5.5.5.5}{5.5.5} Snet sqc13738 Snet sqc13739 Snet sqc11608

Symmetry-lowered hyperbolic tilings