h-net: hqc1595


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,3,12}
2D vertex symbol {8.8.8.8}{8.3.3.8}{8.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 36, 16, 44, 100, 220, 96, 260, 588), (4, 12, 14, 40, 42, 102, 98, 234, 254, 592), (3, 11, 10, 28, 65, 75, 72, 176, 389, 429), (12, 6, 18, 42, 96, 42, 114, 258, 564, 246)]
Delaney-Dress Symbol <1595.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:8 3,4 4 3 12>
Dual net hqc1392

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 sqc13947 Im-3m 229 cubic {4,4,12,3} 58 (4,4)
Full image sqc14473 Ia-3d 230 cubic {4,4,3,12} 116 (4,5)
Full image sqc13828 Pn-3m 224 cubic {4,4,3,12} 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 UQC4742 *246 (4,4,2) {4,4,3,12} {8.8.8.8}{8.3.3.8}{8.3.3}{3.3.3.... Snet sqc13947 Snet sqc14473 Snet sqc13828

Symmetry-lowered hyperbolic tilings