h-net: hqc1865


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,3,6}
2D vertex symbol {10.10.10.10}{10.3.3.10}{10.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 24, 34, 46, 78, 146, 248, 392, 620), (4, 6, 11, 27, 48, 74, 115, 187, 308, 518), (3, 5, 7, 21, 49, 72, 105, 159, 269, 467), (6, 3, 9, 27, 57, 81, 117, 177, 309, 534)]
Delaney-Dress Symbol <1865.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:10 3,4 4 3 6>
Dual net hqc1716

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 sqc14153 Pm-3m 221 cubic {4,4,3,6} 68 (4,5)
Full image sqc14145 I4132 214 cubic {4,4,3,6} 68 (4,6)
Full image sqc12475 P4232 208 cubic {6,4,3,4} 34 (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 UQC5057 *2223 (4,5,2) {4,4,3,6} {10.10.10.10}{10.3.3.10}{10.3.3}... Snet sqc14153 Snet sqc14145 Snet sqc12475

Symmetry-lowered hyperbolic tilings