h-net: hqc2116


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,4,8,4}
2D vertex symbol {6.6.6}{6.3.3.6}{6.6.3.3}{3.3.3.3.3.3.3.3}{6.6.6.6}
Vertex coordination sequence [(3, 9, 18, 21, 48, 87, 126, 171, 357, 636), (4, 9, 15, 33, 52, 79, 129, 239, 380, 576), (4, 10, 16, 34, 48, 86, 132, 246, 364, 624), (8, 8, 20, 36, 64, 68, 156, 288, 440, 552), (4, 12, 24, 24, 56, 104, 168, 196, 428, 784)]
Delaney-Dress Symbol <2116.2:12:2 4 6 8 10 12,1 3 11 7 10 9 12,1 2 5 6 7 8 9 10 11 12:6 3,3 4 4 8 4>
Dual net hqc2010

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 sqc14183 Pm-3n 223 cubic {3,4,4,8,4} 68 (5,5)
Full image sqc14184 I-43d 220 cubic {3,4,4,8,4} 68 (5,6)
Full image sqc12668 P-43m 215 cubic {4,4,8,4,3} 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 UQC5497 *344 (5,5,2) {3,4,4,8,4} {6.6.6}{6.3.3.6}{6.6.3.3}{3.3.3.... Snet sqc14183 Snet sqc14184 Snet sqc12668

Symmetry-lowered hyperbolic tilings