h-net: hqc1531


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,3,4,12}
2D vertex symbol {8.4.4}{8.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 5, 22, 29, 106, 133, 408, 502, 1524, 1874), (3, 13, 18, 65, 82, 257, 318, 966, 1188, 3606), (4, 22, 30, 108, 134, 408, 502, 1524, 1874, 5688), (12, 18, 66, 84, 258, 318, 966, 1188, 3606, 4434)]
Delaney-Dress Symbol <1531.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:8 4,3 3 4 12>
Dual net hqc1300

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 sqc13846 Im-3m 229 cubic {3,4,3,12} 64 (4,4)
Full image sqc14476 Ia-3d 230 cubic {3,3,4,12} 128 (4,5)
Full image sqc13848 Pn-3m 224 cubic {4,3,3,12} 64 (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 UQC4694 *246 (4,4,2) {3,3,4,12} {8.4.4}{8.4.4}{4.4.4.4}{4.4.4.4.... Snet sqc13846 Snet sqc14476 Snet sqc13848

Symmetry-lowered hyperbolic tilings