h-net: hqc1453


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,4,3}
2D vertex symbol {3.7.7.3}{3.7.7}{7.7.7.7}{7.7.7}
Vertex coordination sequence [(4, 6, 16, 30, 50, 84, 150, 256, 448, 772), (3, 5, 11, 22, 40, 72, 117, 201, 353, 614), (4, 12, 24, 36, 64, 112, 200, 344, 584, 1004), (3, 6, 9, 15, 42, 63, 105, 180, 321, 558)]
Delaney-Dress Symbol <1453.2:10:1 3 5 7 8 10,2 3 6 9 8 10,1 4 5 6 7 8 9 10:3 7,4 3 4 3>
Dual net hqc1415

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 sqc13953 Pm-3m 221 cubic {4,3,4,3} 68 (4,5)
Full image sqc13952 I4132 214 cubic {4,3,4,3} 68 (4,6)
Full image sqc12090 P4232 208 cubic {4,3,3,4} 34 (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 UQC4454 *2223 (4,5,2) {4,3,4,3} {3.7.7.3}{3.7.7}{7.7.7.7}{7.7.7} Snet sqc13953 Snet sqc13952 Snet sqc12090

Symmetry-lowered hyperbolic tilings