h-net: hqc1251


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,4,6}
2D vertex symbol {5.4.4.5}{5.5.4}{4.4.4.4}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 8, 16, 26, 38, 46, 84, 120, 172, 238), (3, 10, 16, 26, 33, 58, 77, 124, 164, 260), (4, 8, 16, 24, 36, 56, 68, 120, 184, 232), (6, 12, 18, 18, 42, 66, 90, 102, 198, 276)]
Delaney-Dress Symbol <1251.2:9:1 3 5 7 9,2 8 6 5 7 9,1 4 5 6 7 8 9:5 4,4 3 4 6>
Dual net hqc1066

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 sqc13744 Im-3m 229 cubic {3,4,6,4} 58 (4,4)
Full image sqc14458 Ia-3d 230 cubic {4,3,4,6} 116 (4,5)
Full image sqc13701 Pn-3m 224 cubic {4,3,4,6} 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 UQC4405 *246 (4,4,2) {4,3,4,6} {5.4.4.5}{5.5.4}{4.4.4.4}{5.5.5.... Snet sqc13744 Snet sqc14458 Snet sqc13701

Symmetry-lowered hyperbolic tilings