h-net: hqc1560


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,4,3,3,4}
2D vertex symbol {4.4.4.4}{4.6.6.4}{4.6.6}{6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 8, 12, 28, 36, 60, 80, 168, 216, 376), (4, 7, 15, 21, 40, 51, 97, 129, 244, 312), (3, 8, 12, 24, 31, 58, 77, 148, 190, 354), (3, 9, 12, 21, 30, 63, 78, 135, 183, 372), (4, 8, 16, 20, 40, 56, 104, 128, 244, 332)]
Delaney-Dress Symbol <1560.2:10:2 4 6 8 10,1 3 4 7 9 8 10,1 2 5 6 7 8 9 10:4 6,4 4 3 3 4>
Dual net hqc1432

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 sqc14026 Pm-3n 223 cubic {4,4,3,3,4} 68 (5,4)
Full image sqc13992 I-43d 220 cubic {4,4,3,3,4} 68 (5,5)
Full image sqc12268 P-43m 215 cubic {3,4,4,4,3} 34 (5,4)

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 UQC5255 *344 (5,4,2) {4,4,3,3,4} {4.4.4.4}{4.6.6.4}{4.6.6}{6.6.6}... Snet sqc14026 Snet sqc13992 Snet sqc12268

Symmetry-lowered hyperbolic tilings