h-net: hqc1544


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,3,3,8,3}
2D vertex symbol {4.4.4.4}{4.6.4}{4.6.6}{6.6.6.6.6.6.6.6}{6.6.6}
Vertex coordination sequence [(4, 4, 4, 24, 44, 152, 236, 784, 1236, 4084), (3, 5, 15, 25, 94, 151, 503, 791, 2612, 4101), (3, 10, 16, 58, 94, 319, 504, 1664, 2612, 8616), (8, 16, 60, 96, 320, 504, 1664, 2612, 8616, 13524), (3, 21, 39, 132, 207, 681, 1068, 3525, 5535, 18264)]
Delaney-Dress Symbol <1544.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:4 6,4 3 3 8 3>
Dual net hqc1314

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 sqc13886 Pm-3n 223 cubic {4,3,3,8,3} 68 (5,4)
Full image sqc13887 I-43d 220 cubic {4,3,3,8,3} 68 (5,5)
Full image sqc12150 P-43m 215 cubic {3,8,4,3,3} 34 (5,4)

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 UQC5229 *344 (5,4,2) {4,3,3,8,3} {4.4.4.4}{4.6.4}{4.6.6}{6.6.6.6.... Snet sqc13886 Snet sqc13887 Snet sqc12150

Symmetry-lowered hyperbolic tilings