h-net: hqc242


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,2,3)
Vertex degrees{4,12}
2D vertex symbol {6.3.4.3}{3.4.3.4.3.4.3.4.3.4.3.4}
Vertex coordination sequence [(12, 18, 72, 168, 408, 1134, 2772, 7152, 18540, 46866), (4, 23, 45, 136, 339, 841, 2234, 5617, 14405, 37110)]
Delaney-Dress Symbol <242.2:6:1 2 4 6,1 3 4 5 6,2 5 6:6 3 4,4 12>
Dual net hqc324

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 sqc12646 Pn-3m 224 cubic {12,4} 28 (2,2)
Full image sqc12650 Ia-3 206 cubic {12,4} 28 (2,3)
Full image sqc12651 Fd-3m 227 cubic {12,4} 28 (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 UQC482 *266 (2,2,3) {4,12} {6.3.4.3}{3.4.3.4.3.4.3.4.3.4.3.4} Snet sqc12646 Snet sqc12650 Snet sqc12651

Symmetry-lowered hyperbolic tilings