h-net: hqc1561


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,4,3,4,3}
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, 16, 36, 44, 64, 116, 252, 304, 440), (4, 8, 16, 24, 44, 64, 116, 168, 304, 440), (3, 7, 12, 24, 33, 56, 87, 168, 228, 385), (4, 12, 16, 24, 44, 96, 116, 168, 304, 660), (3, 6, 12, 18, 33, 48, 87, 126, 228, 330)]
Delaney-Dress Symbol <1561.2:10:2 4 6 8 10,1 3 4 7 9 8 10,1 2 5 6 7 8 9 10:4 6,4 4 3 4 3>
Dual net hqc1431

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 sqc13990 Pm-3n 223 cubic {4,4,3,4,3} 68 (5,4)
Full image sqc13991 I-43d 220 cubic {4,4,3,4,3} 68 (5,5)
Full image sqc12273 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 UQC5256 *344 (5,4,2) {4,4,3,4,3} {4.4.4.4}{4.6.6.4}{4.6.6}{6.6.6.... Snet sqc13990 Snet sqc13991 Snet sqc12273

Symmetry-lowered hyperbolic tilings