h-net: hqc1819


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,3,4,6}
2D vertex symbol {3.4.4.3.3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(12, 36, 120, 366, 1140, 3516, 10914, 33762, 104622), (3, 22, 54, 198, 583, 1848, 5663, 17626, 54454), (4, 28, 70, 244, 716, 2284, 6988, 21768, 67238), (6, 9, 60, 147, 522, 1536, 4872, 14925, 46470)]
Delaney-Dress Symbol <1819.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,12 3 4 6>
Dual net hqc1642

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 sqc12486 P4232 208 cubic {12,3,4,6} 26 (4,5)
Full image sqc12488 I213 199 cubic {12,3,4,6} 26 (4,6)
Full image sqc12484 F-43m 216 cubic {12,3,4,6} 26 (4,5)

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 UQC4965 *2323 (4,5,2) {12,3,4,6} {3.4.4.3.3.4.4.3.3.4.4.3}{3.4.4}... Snet sqc12486 Snet sqc12488 Snet sqc12484

Symmetry-lowered hyperbolic tilings