h-net: hqc316


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(3,2,2)
Vertex degrees{4,6,3}
2D vertex symbol {6.4.6.4}{6.4.4.6.4.4}{4.4.4}
Vertex coordination sequence [(4, 18, 32, 126, 220, 864, 1508, 5922, 10336, 40590), (6, 12, 48, 84, 330, 576, 2262, 3948, 15504, 27060), (3, 12, 24, 96, 165, 648, 1131, 4440, 7752, 30444)]
Delaney-Dress Symbol <316.2:6:2 4 6,1 2 3 5 6,3 4 5 6:6 4,4 6 3>
Dual net hqc231

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 sqc9057 epd P4232 208 cubic {4,6,3} 16 (3,2)
Full image sqc9060 I213 199 cubic {4,6,3} 16 (3,3)
Full image sqc9059 F-43m 216 cubic {4,6,3} 16 (3,2)

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 UQC3308 *2323 (3,2,2) {4,6,3} {6.4.6.4}{6.4.4.6.4.4}{4.4.4} Snet sqc9057 Snet sqc9060 Snet sqc9059

Symmetry-lowered hyperbolic tilings