h-net: hqc2097


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,8,4,3,6}
2D vertex symbol {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3.6}{6.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 28, 72, 220, 496, 1516, 3396, 10396, 23272, 71260), (8, 24, 84, 188, 580, 1296, 3972, 8888, 27220, 60924), (4, 10, 21, 81, 188, 580, 1296, 3972, 8888, 27220), (3, 5, 14, 41, 141, 319, 956, 2203, 6535, 15120), (6, 3, 18, 51, 168, 369, 1140, 2544, 7800, 17451)]
Delaney-Dress Symbol <2097.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,4 8 4 3 6>
Dual net hqc1983

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 sqc14198 Pm-3n 223 cubic {4,8,4,3,6} 68 (5,5)
Full image sqc14205 I-43d 220 cubic {4,8,4,3,6} 68 (5,6)
Full image sqc12635 P-43m 215 cubic {3,4,4,6,8} 34 (5,5)

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 UQC5467 *344 (5,5,2) {4,8,4,3,6} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3... Snet sqc14198 Snet sqc14205 Snet sqc12635

Symmetry-lowered hyperbolic tilings