h-net: hqc900


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{4,3,3,6}
2D vertex symbol {4.4.4.4}{4.8.4}{4.8.8}{8.8.8.8.8.8}
Vertex coordination sequence [(4, 4, 4, 20, 36, 48, 44, 76, 136, 216), (3, 5, 12, 21, 35, 40, 61, 90, 147, 186), (3, 8, 14, 24, 31, 48, 65, 104, 138, 216), (6, 12, 18, 18, 30, 54, 90, 102, 150, 216)]
Delaney-Dress Symbol <900.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 8,4 3 3 6>
Dual net hqc687

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 sqc13549 Im-3m 229 cubic {3,3,4,6} 58 (4,3)
Full image sqc14428 Ia-3d 230 cubic {4,3,3,6} 116 (4,4)
Full image sqc13439 Pn-3m 224 cubic {3,3,4,6} 58 (4,3)

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 UQC4224 *246 (4,3,2) {4,3,3,6} {4.4.4.4}{4.8.4}{4.8.8}{8.8.8.8.... Snet sqc13549 Snet sqc14428 Snet sqc13439

Symmetry-lowered hyperbolic tilings