h-net: hqc62


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{12,4}
2D vertex symbol {3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3}
Vertex coordination sequence [(12, 64, 336, 1740, 9008, 46656), (4, 32, 156, 824, 4272, 22108, 114504)]
Delaney-Dress Symbol <62.2:4:1 2 4,1 3 4,2 3 4:3 3,12 4>
Dual net hqc74

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 sqc10789 Pm-3n 223 cubic {4,12} 12 (2,2)
Full image sqc10871 I-43d 220 cubic {4,12} 12 (2,2)
Full image sqc4970 Pm-3m 221 cubic {4,12} 6 (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 UQC88 *344 (2,2,2) {12,4} {3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3} Snet sqc10789 Snet sqc10871 Snet sqc4970

Symmetry-lowered hyperbolic tilings