h-net: hqc2124


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{6,4,16,8}
2D vertex symbol {3.3.3.3.3.3}{3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 36, 48, 252, 330, 1728, 2262, 11844, 15504, 81180), (4, 30, 64, 210, 440, 1440, 3016, 9870, 20672, 67650), (16, 24, 128, 168, 880, 1152, 6032, 7896, 41344, 54120), (8, 48, 64, 336, 440, 2304, 3016, 15792, 20672, 108240)]
Delaney-Dress Symbol <2124.2:12:2 4 6 8 10 12,3 6 5 9 12 11,1 2 3 4 7 8 9 10 11 12:3 3,6 4 16 8>
Dual net hqc2016

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 sqc14160 Pm-3n 223 cubic {6,4,16,8} 44 (4,5)
Full image sqc14162 I-43d 220 cubic {6,4,16,8} 44 (4,6)
Full image sqc12633 P-43m 215 cubic {4,6,8,16} 22 (4,5)

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 UQC5213 *344 (4,5,2) {6,4,16,8} {3.3.3.3.3.3}{3.3.3.3}{3.3.3.3.3... Snet sqc14160 Snet sqc14162 Snet sqc12633

Symmetry-lowered hyperbolic tilings