h-net: hqc68


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{12,3}
2D vertex symbol {4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3}
Vertex coordination sequence [(3, 27, 144, 747, 3867, 20028, 103731), (12, 68, 352, 1824, 9448, 48932)]
Delaney-Dress Symbol <68.2:4:1 2 4,1 3 4,2 3 4:4 3,12 3>
Dual net hqc64

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 sqc10775 Pm-3n 223 cubic {3,12} 14 (2,2)
Full image sqc10746 I-43d 220 cubic {3,12} 14 (2,2)
Full image sqc4972 P-43m 215 cubic {3,12} 7 (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 UQC93 *344 (2,2,2) {12,3} {4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3} Snet sqc10775 Snet sqc10746 Snet sqc4972

Symmetry-lowered hyperbolic tilings