h-net: hqc2431


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(6,7,2)
Vertex degrees{4,4,4,4,4,6}
2D vertex symbol {3.3.3.3}{3.5.5.3}{3.5.5.3}{5.5.5.5}{5.5.5.5}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 4, 12, 32, 48, 96, 168, 348, 540, 1140), (4, 8, 18, 36, 72, 124, 248, 408, 806, 1330), (4, 6, 16, 36, 66, 121, 224, 408, 726, 1332), (4, 12, 24, 52, 88, 180, 284, 592, 920, 1940), (4, 16, 36, 56, 120, 184, 388, 600, 1268, 1952), (6, 18, 30, 60, 102, 216, 330, 702, 1074, 2268)]
Delaney-Dress Symbol <2431.2:16:2 4 6 8 10 12 14 16,3 6 5 9 16 11 13 15,1 2 3 4 7 8 9 10 11 12 13 14 15 16:3 5,4 4 4 4 4 6>
Dual net hqc2419

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 sqc14425 Pm-3m 221 cubic {4,4,4,4,4,6} 92 (6,7)
Full image sqc14426 I4132 214 cubic {4,4,4,4,4,6} 92 (6,8)
Full image sqc13436 P4232 208 cubic {4,4,4,4,4,6} 46 (6,7)

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 UQC6022 *2223 (6,7,2) {4,4,4,4,4,6} {3.3.3.3}{3.5.5.3}{3.5.5.3}{5.5.... Snet sqc14425 Snet sqc14426 Snet sqc13436

Symmetry-lowered hyperbolic tilings