h-net: hqc1170


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{8,6,6}
2D vertex symbol {3.3.3.3.3.3.3.3}{3.3.3.3.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(8, 20, 52, 120, 292, 684, 1648, 3888, 9312, 22068), (6, 20, 46, 112, 266, 636, 1506, 3600, 8542, 20372), (6, 18, 42, 108, 246, 606, 1410, 3408, 8022, 19242)]
Delaney-Dress Symbol <1170.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,8 6 6>
Dual net hqc1016

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 sqc13633 Pm-3m 221 cubic {8,6,6} 32 (3,4)
Full image sqc13634 I4132 214 cubic {8,6,6} 32 (3,5)
Full image sqc11614 P4232 208 cubic {6,6,8} 16 (3,4)

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 UQC4055 *2223 (3,4,2) {8,6,6} {3.3.3.3.3.3.3.3}{3.3.3.3.3.3}{3... Snet sqc13633 Snet sqc13634 Snet sqc11614

Symmetry-lowered hyperbolic tilings