h-net: hqc1572


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,12,6}
2D vertex symbol {4.4.4.4}{4.3.3.4}{4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 8, 36, 72, 196, 376, 1004, 1960, 5196, 10144), (4, 22, 34, 122, 186, 632, 966, 3270, 5004, 16938), (12, 16, 76, 88, 396, 456, 2052, 2360, 10628, 12224), (6, 30, 36, 162, 186, 840, 966, 4350, 5004, 22530)]
Delaney-Dress Symbol <1572.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 4 12 6>
Dual net hqc1378

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 sqc13835 Pm-3n 223 cubic {4,4,12,6} 44 (4,4)
Full image sqc13833 I-43d 220 cubic {4,4,12,6} 44 (4,5)
Full image sqc12117 P-43m 215 cubic {12,4,4,6} 22 (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 UQC4714 *344 (4,4,2) {4,4,12,6} {4.4.4.4}{4.3.3.4}{4.3.3.4.3.3.4... Snet sqc13835 Snet sqc13833 Snet sqc12117

Symmetry-lowered hyperbolic tilings