h-net: hqc1569


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,16,3,8}
2D vertex symbol {4.4.4}{4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4}{4.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 39, 39, 261, 282, 1776, 1947, 12159, 13359, 83325), (16, 20, 132, 144, 904, 992, 6192, 6804, 42436), (3, 30, 52, 208, 363, 1424, 2489, 9762, 17056, 66916), (8, 48, 56, 344, 380, 2364, 2600, 16208, 17816, 111096)]
Delaney-Dress Symbol <1569.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,3 16 3 8>
Dual net hqc1384

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 sqc13813 Pm-3n 223 cubic {3,16,3,8} 44 (4,4)
Full image sqc13816 I-43d 220 cubic {3,16,3,8} 44 (4,5)
Full image sqc12115 P-43m 215 cubic {3,8,3,16} 22 (4,4)

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 UQC4711 *344 (4,4,2) {3,16,3,8} {4.4.4}{4.3.3.4.4.3.3.4.4.3.3.4.... Snet sqc13813 Snet sqc13816 Snet sqc12115

Symmetry-lowered hyperbolic tilings