h-net: hqc1893


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,8,6}
2D vertex symbol {5.3.3.5}{5.5.3.3}{3.3.3.3.3.3.3.3}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 10, 18, 36, 70, 82, 136, 270, 436, 566), (4, 12, 20, 38, 54, 98, 158, 260, 392, 654), (8, 8, 24, 56, 72, 80, 192, 360, 424, 624), (6, 18, 30, 24, 66, 150, 186, 216, 510, 930)]
Delaney-Dress Symbol <1893.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,4 4 8 6>
Dual net hqc1757

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 sqc14072 Im-3m 229 cubic {4,8,6,4} 58 (4,5)
Full image sqc14500 Ia-3d 230 cubic {4,4,8,6} 116 (4,6)
Full image sqc14071 Pn-3m 224 cubic {4,4,8,6} 58 (4,5)

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 UQC5097 *246 (4,5,2) {4,4,8,6} {5.3.3.5}{5.5.3.3}{3.3.3.3.3.3.3... Snet sqc14072 Snet sqc14500 Snet sqc14071

Symmetry-lowered hyperbolic tilings