h-net: hqc2257


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,4,4,3}
2D vertex symbol {7.7.7.7}{7.3.3.7}{7.7.3.3}{3.3.3.3}{7.7.7}
Vertex coordination sequence [(4, 12, 24, 32, 52, 76, 124, 208, 336, 524), (4, 6, 14, 30, 40, 66, 110, 172, 264, 432), (4, 5, 13, 22, 42, 68, 107, 157, 250, 402), (4, 4, 10, 26, 38, 62, 106, 156, 240, 392), (3, 9, 9, 15, 42, 69, 93, 153, 237, 378)]
Delaney-Dress Symbol <2257.2:13:1 3 5 7 9 11 13,2 4 12 8 11 10 13,1 2 3 6 7 8 9 10 11 12 13:7 3,4 4 4 4 3>
Dual net hqc2194

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 sqc14338 Pm-3m 221 cubic {4,4,4,4,3} 80 (5,6)
Full image sqc14337 I4132 214 cubic {4,4,4,4,3} 80 (5,7)
Full image sqc12890 P4232 208 cubic {4,4,3,4,4} 40 (5,6)

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 UQC5719 *2223 (5,6,2) {4,4,4,4,3} {7.7.7.7}{7.3.3.7}{7.7.3.3}{3.3.... Snet sqc14338 Snet sqc14337 Snet sqc12890

Symmetry-lowered hyperbolic tilings