h-net: hqc756


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{8,3,3}
2D vertex symbol {3.5.5.3.3.5.5.3}{3.5.5}{5.5.5}
Vertex coordination sequence [(8, 28, 76, 200, 524, 1372, 3592, 9404, 24620, 64456), (3, 13, 41, 110, 288, 758, 1988, 5198, 13608, 35630), (3, 6, 27, 84, 216, 570, 1488, 3900, 10206, 26724)]
Delaney-Dress Symbol <756.2:8:1 3 5 6 8,2 3 6 7 8,1 4 5 6 7 8:3 5,8 3 3>
Dual net hqc704

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 sqc13348 Pm-3m 221 cubic {8,3,3} 44 (3,4)
Full image sqc13350 I4132 214 cubic {8,3,3} 44 (3,5)
Full image sqc10898 P4232 208 cubic {8,3,3} 22 (3,4)

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 UQC3555 *2223 (3,4,2) {8,3,3} {3.5.5.3.3.5.5.3}{3.5.5}{5.5.5} Snet sqc13348 Snet sqc13350 Snet sqc10898

Symmetry-lowered hyperbolic tilings