h-net: hqc1606


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,3,6}
2D vertex symbol {16.16.16.16}{16.3.3.16}{16.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 12, 8, 24, 72, 72, 44, 128, 376), (4, 6, 11, 15, 24, 36, 66, 88, 132, 191), (3, 5, 7, 21, 27, 21, 42, 124, 149, 111), (6, 3, 9, 27, 27, 18, 54, 156, 147, 93)]
Delaney-Dress Symbol <1606.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:16 3,4 4 3 6>
Dual net hqc1374

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 sqc13968 Pm-3n 223 cubic {4,4,3,6} 62 (4,4)
Full image sqc14021 I-43d 220 cubic {4,4,3,6} 62 (4,5)
Full image sqc12279 P-43m 215 cubic {6,3,4,4} 31 (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 UQC4759 *344 (4,4,2) {4,4,3,6} {16.16.16.16}{16.3.3.16}{16.3.3}... Snet sqc13968 Snet sqc14021 Snet sqc12279

Symmetry-lowered hyperbolic tilings