h-net: hqc1505


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{3,4,4,3}
2D vertex symbol {4.6.4}{4.4.6.6}{6.6.6.6}{6.6.6}
Vertex coordination sequence [(3, 6, 11, 20, 34, 57, 94, 157, 264, 438), (4, 8, 14, 24, 42, 70, 116, 194, 322, 534), (4, 10, 18, 32, 52, 88, 148, 244, 406, 674), (3, 9, 21, 33, 54, 90, 150, 249, 411, 687)]
Delaney-Dress Symbol <1505.2:10:1 3 5 7 9 10,2 10 4 6 8 9,1 4 5 6 7 8 9 10:4 6,3 4 4 3>
Dual net hqc1336

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 sqc14001 Pm-3m 221 cubic {3,4,4,3} 68 (4,5)
Full image sqc14000 I4132 214 cubic {3,4,4,3} 68 (4,6)
Full image sqc12285 P4232 208 cubic {3,4,4,3} 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 UQC4666 *2223 (4,5,2) {3,4,4,3} {4.6.4}{4.4.6.6}{6.6.6.6}{6.6.6} Snet sqc14001 Snet sqc14000 Snet sqc12285

Symmetry-lowered hyperbolic tilings