h-net: hqc1566


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,4,12,8}
2D vertex symbol {4.4.4}{4.3.3.4}{4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 6, 33, 96, 243, 645, 1680, 4407, 11529, 30192), (4, 23, 54, 179, 367, 1233, 2511, 8456, 17206, 57963), (12, 24, 108, 168, 744, 1152, 5100, 7896, 34956, 54120), (8, 40, 64, 284, 440, 1948, 3016, 13352, 20672, 91516)]
Delaney-Dress Symbol <1566.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,3 4 12 8>
Dual net hqc1389

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 sqc13832 Pm-3n 223 cubic {3,4,12,8} 44 (4,4)
Full image sqc13834 I-43d 220 cubic {3,4,12,8} 44 (4,5)
Full image sqc12108 P-43m 215 cubic {4,8,12,3} 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 UQC4708 *344 (4,4,2) {3,4,12,8} {4.4.4}{4.3.3.4}{4.3.3.4.3.3.4.3... Snet sqc13832 Snet sqc13834 Snet sqc12108

Symmetry-lowered hyperbolic tilings