h-net: hqc1592


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,4,9,4}
2D vertex symbol {8.8.8}{8.3.3.8}{8.3.3.8.3.3.8.3.3}{3.3.3.3}
Vertex coordination sequence [(3, 9, 39, 36, 117, 195, 693, 780, 2679, 3801), (4, 15, 19, 66, 91, 321, 398, 1380, 1838, 6423), (9, 9, 30, 51, 183, 204, 699, 999, 3516, 4287), (4, 14, 16, 52, 110, 276, 392, 1134, 2094, 5386)]
Delaney-Dress Symbol <1592.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:8 3,3 4 9 4>
Dual net hqc1368

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 sqc12121 P4232 208 cubic {3,4,9,4} 26 (4,4)
Full image sqc12122 I213 199 cubic {3,4,9,4} 26 (4,5)
Full image sqc12120 F-43m 216 cubic {3,4,9,4} 26 (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 UQC4739 *2323 (4,4,2) {3,4,9,4} {8.8.8}{8.3.3.8}{8.3.3.8.3.3.8.3... Snet sqc12121 Snet sqc12122 Snet sqc12120

Symmetry-lowered hyperbolic tilings