h-net: hqc2090


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,8,4,3,8}
2D vertex symbol {6.6.6}{6.6.6.6.6.6.6.6}{6.3.3.6}{6.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 21, 48, 144, 237, 747, 1215, 3849, 6312, 19944), (8, 20, 68, 108, 348, 576, 1816, 2980, 9412, 15420), (4, 12, 18, 68, 120, 380, 614, 1950, 3202, 10114), (3, 7, 15, 40, 122, 223, 588, 1166, 3094, 6039), (8, 4, 24, 56, 176, 260, 852, 1412, 4452, 7320)]
Delaney-Dress Symbol <2090.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,3 8 4 3 8>
Dual net hqc1973

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 sqc14186 Pm-3n 223 cubic {3,8,4,3,8} 68 (5,5)
Full image sqc14185 I-43d 220 cubic {3,8,4,3,8} 68 (5,6)
Full image sqc12689 P-43m 215 cubic {4,8,3,3,8} 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 UQC5456 *344 (5,5,2) {3,8,4,3,8} {6.6.6}{6.6.6.6.6.6.6.6}{6.3.3.6... Snet sqc14186 Snet sqc14185 Snet sqc12689

Symmetry-lowered hyperbolic tilings