h-net: hqc2074


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,4,3,8,4}
2D vertex symbol {4.4.4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(6, 12, 36, 54, 114, 156, 324, 450, 942, 1308), (4, 12, 20, 52, 74, 156, 216, 450, 624, 1302), (3, 6, 16, 26, 65, 91, 191, 265, 553, 767), (8, 16, 40, 56, 120, 168, 352, 488, 1016, 1408), (4, 14, 24, 58, 80, 168, 234, 490, 680, 1416)]
Delaney-Dress Symbol <2074.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,6 4 3 8 4>
Dual net hqc1948

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 sqc14200 Im-3m 229 cubic {3,4,4,8,6} 70 (5,5)
Full image sqc14514 Ia-3d 230 cubic {6,4,3,8,4} 140 (5,6)
Full image sqc14199 Pn-3m 224 cubic {3,4,4,8,6} 70 (5,5)

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 UQC5434 *246 (5,5,2) {6,4,3,8,4} {4.4.4.4.4.4}{4.4.4.4}{4.4.4}{4.... Snet sqc14200 Snet sqc14514 Snet sqc14199

Symmetry-lowered hyperbolic tilings