h-net: hqc1026


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{3,12}
2D vertex symbol {12.4.3}{3.4.4.3.4.4.3.4.4.3.4.4}
Vertex coordination sequence [(12, 44, 128, 340, 892, 2336, 6116, 16012, 41920), (3, 12, 42, 127, 340, 892, 2336, 6116, 16012, 41920)]
Delaney-Dress Symbol <1026.2:9:1 2 3 5 7 8 9,2 4 5 8 9,3 8 6 7 9:12 3 4,3 12>
Dual net hqc1196

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 sqc13623 Im-3m 229 cubic {3,12} 54 (2,4)
Full image sqc14448 Ia-3d 230 cubic {12,3,3} 108 (3,5)
Full image sqc13609 Pn-3m 224 cubic {3,12} 54 (2,4)

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 UQC1140 *246 (2,4,3) {12,3} {12.4.3}{3.4.4.3.4.4.3.4.4.3.4.4} Snet sqc13623 Snet sqc14448 Snet sqc13609

Symmetry-lowered hyperbolic tilings