h-net: hqc1510


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{4,12,4}
2D vertex symbol {4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3.3}{3.3.3.3}
Vertex coordination sequence [(4, 20, 62, 168, 440, 1152, 3016, 7896, 20672, 54120), (12, 36, 96, 252, 660, 1728, 4524, 11844, 31008, 81180)]
Delaney-Dress Symbol <1510.2:10:1 3 5 7 9 10,2 10 6 9 8,1 4 5 6 7 8 9 10:4 3,4 12 4>
Dual net hqc1425

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 sqc13842 Pm-3m 221 cubic {4,12,4} 44 (3,5)
Full image sqc13841 I4132 214 cubic {4,12,4} 44 (3,6)
Full image sqc12118 P4232 208 cubic {4,4,12} 22 (3,5)

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 UQC4147 *2223 (3,5,2) {4,12,4} {4.3.3.4}{4.4.3.3.4.4.3.3.4.4.3.... Snet sqc13842 Snet sqc13841 Snet sqc12118

Symmetry-lowered hyperbolic tilings