h-net: hqc1567


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,8,6,4}
2D vertex symbol {4.4.4}{4.3.3.4.4.3.3.4}{4.3.3.4.3.3}{3.3.3.3}
Vertex coordination sequence [(3, 18, 24, 78, 117, 336, 507, 1458, 2184, 6318), (8, 14, 44, 66, 192, 288, 832, 1246, 3604, 5394), (6, 20, 32, 92, 138, 400, 598, 1732, 2592, 7500), (4, 16, 32, 68, 148, 300, 624, 1312, 2712, 5652)]
Delaney-Dress Symbol <1567.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,3 8 6 4>
Dual net hqc1365

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 sqc13874 Pm-3m 221 cubic {3,8,6,4} 44 (4,4)
Full image sqc13867 I4132 214 cubic {3,8,6,4} 44 (4,5)
Full image sqc12148 P4232 208 cubic {8,4,6,3} 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 UQC4709 *2223 (4,4,2) {3,8,6,4} {4.4.4}{4.3.3.4.4.3.3.4}{4.3.3.4... Snet sqc13874 Snet sqc13867 Snet sqc12148

Symmetry-lowered hyperbolic tilings