h-net: hqc1233


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,3,3}
2D vertex symbol {7.7.7.7}{7.4.7}{7.7.4}{7.7.7}
Vertex coordination sequence [(4, 10, 20, 28, 44, 66, 108, 180, 288, 450), (3, 6, 13, 24, 35, 58, 93, 148, 229, 372), (3, 5, 11, 20, 36, 58, 91, 135, 217, 346), (3, 6, 9, 15, 36, 57, 81, 132, 201, 330)]
Delaney-Dress Symbol <1233.2:9:1 3 5 7 9,2 4 8 6 7 9,1 2 3 6 7 8 9:7 4,4 3 3 3>
Dual net hqc980

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 sqc13751 Pm-3m 221 cubic {4,3,3,3} 68 (4,4)
Full image sqc13743 I4132 214 cubic {4,3,3,3} 68 (4,5)
Full image sqc11604 P4232 208 cubic {3,3,4,3} 34 (4,4)

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 UQC4377 *2223 (4,4,2) {4,3,3,3} {7.7.7.7}{7.4.7}{7.7.4}{7.7.7} Snet sqc13751 Snet sqc13743 Snet sqc11604

Symmetry-lowered hyperbolic tilings