h-net: hqc1591


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,4,6,4}
2D vertex symbol {8.8.8}{8.3.3.8}{8.3.3.8.3.3}{3.3.3.3}
Vertex coordination sequence [(3, 9, 21, 18, 39, 75, 141, 144, 315, 501), (4, 9, 13, 28, 39, 79, 100, 204, 280, 561), (6, 6, 14, 28, 54, 54, 118, 192, 370, 418), (4, 8, 10, 26, 46, 68, 88, 192, 316, 476)]
Delaney-Dress Symbol <1591.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:8 3,3 4 6 4>
Dual net hqc1362

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 sqc13904 Pm-3m 221 cubic {3,4,6,4} 56 (4,4)
Full image sqc13916 I4132 214 cubic {3,4,6,4} 56 (4,5)
Full image sqc12200 P4232 208 cubic {4,6,4,3} 28 (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 UQC4738 *2223 (4,4,2) {3,4,6,4} {8.8.8}{8.3.3.8}{8.3.3.8.3.3}{3.... Snet sqc13904 Snet sqc13916 Snet sqc12200

Symmetry-lowered hyperbolic tilings