h-net: hqc1214


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{12,3,3,4}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}{5.4.4}{4.4.4.4}
Vertex coordination sequence [(12, 72, 300, 1128, 4212, 15720, 58668), (3, 14, 70, 297, 1128, 4212, 15720, 58668), (3, 5, 22, 115, 474, 1780, 6644, 24796, 92540), (4, 4, 4, 36, 192, 752, 2808, 10480, 39112, 145968)]
Delaney-Dress Symbol <1214.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 4,12 3 3 4>
Dual net hqc976

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 sqc13593 Im-3m 229 cubic {3,3,4,12} 58 (4,4)
Full image sqc14441 Ia-3d 230 cubic {12,3,3,4} 116 (4,5)
Full image sqc13607 Pn-3m 224 cubic {3,3,12,4} 58 (4,4)

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 UQC4333 *246 (4,4,2) {12,3,3,4} {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}... Snet sqc13593 Snet sqc14441 Snet sqc13607

Symmetry-lowered hyperbolic tilings