h-net: hqc1802


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,6,4,6}
2D vertex symbol {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(4, 10, 20, 46, 76, 179, 284, 672, 1060, 2508), (6, 12, 30, 48, 114, 180, 426, 672, 1590, 2508), (4, 12, 28, 48, 112, 180, 426, 672, 1590, 2508), (6, 18, 30, 72, 114, 270, 426, 1008, 1590, 3762)]
Delaney-Dress Symbol <1802.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 6 4 6>
Dual net hqc1643

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 sqc14090 Pm-3m 221 cubic {4,6,4,6} 56 (4,5)
Full image sqc14092 I4132 214 cubic {4,6,4,6} 56 (4,6)
Full image sqc12525 P4232 208 cubic {4,4,6,6} 28 (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 UQC4930 *2223 (4,5,2) {4,6,4,6} {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4}{... Snet sqc14090 Snet sqc14092 Snet sqc12525

Symmetry-lowered hyperbolic tilings