h-net: hqc812


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,4,6}
2D vertex symbol {3.5.5.3}{3.5.3.5}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 10, 26, 70, 160, 372, 858, 1968, 4518, 10380), (4, 6, 20, 60, 136, 310, 728, 1666, 3814, 8776), (6, 24, 54, 120, 282, 648, 1482, 3408, 7830, 17976)]
Delaney-Dress Symbol <812.2:8:1 3 5 7 8,2 3 6 5 8,1 4 5 6 7 8:3 5,4 4 6>
Dual net hqc677

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 sqc13406 Pm-3m 221 cubic {4,4,6} 44 (3,4)
Full image sqc13419 I4132 214 cubic {4,4,6} 44 (3,5)
Full image sqc11136 P4232 208 cubic {4,6,4} 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 UQC3703 *2223 (3,4,2) {4,4,6} {3.5.5.3}{3.5.3.5}{5.5.5.5.5.5} Snet sqc13406 Snet sqc13419 Snet sqc11136

Symmetry-lowered hyperbolic tilings