h-net: hqc161


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{3,6}
2D vertex symbol {6.4.6}{6.4.6.4.6.4}
Vertex coordination sequence [(3, 11, 20, 37, 81, 148, 283, 579, 1084, 2105), (6, 9, 21, 48, 78, 162, 333, 591, 1200, 2370)]
Delaney-Dress Symbol <161.2:5:1 3 5,2 3 4 5,1 4 5:6 4,3 6>
Dual net hqc154

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 sqc12215 Pm-3m 221 cubic {3,6} 32 (2,2)
Full image sqc12213 I4132 214 cubic {3,6} 32 (2,3)
Full image sqc7307 P4232 208 cubic {6,3} 16 (2,2)

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 UQC165 *2223 (2,2,2) {3,6} {6.4.6}{6.4.6.4.6.4} Snet sqc12215 Snet sqc12213 Snet sqc7307

Symmetry-lowered hyperbolic tilings