h-net: hqc1807


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,9,4,4}
2D vertex symbol {3.4.4.3}{3.4.4.3.4.4.3.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 16, 20, 70, 76, 269, 284, 1008, 1060, 3762), (9, 12, 45, 48, 171, 180, 639, 672, 2385, 2508), (4, 8, 28, 32, 112, 120, 426, 448, 1590, 1672), (4, 18, 20, 72, 76, 270, 284, 1008, 1060, 3762)]
Delaney-Dress Symbol <1807.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 9 4 4>
Dual net hqc1638

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 sqc14066 Pm-3m 221 cubic {4,9,4,4} 56 (4,5)
Full image sqc14065 I4132 214 cubic {4,9,4,4} 56 (4,6)
Full image sqc12498 P4232 208 cubic {4,4,4,9} 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 UQC4938 *2223 (4,5,2) {4,9,4,4} {3.4.4.3}{3.4.4.3.4.4.3.4.4}{4.4... Snet sqc14066 Snet sqc14065 Snet sqc12498

Symmetry-lowered hyperbolic tilings