h-net: hqc1499


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,4,3}
2D vertex symbol {6.6.6.6}{6.4.6}{6.6.4.4}{4.4.4}
Vertex coordination sequence [(4, 10, 20, 32, 48, 80, 138, 228, 368, 596), (3, 8, 15, 24, 42, 71, 110, 179, 300, 489), (4, 7, 11, 22, 38, 59, 97, 158, 256, 426), (3, 6, 12, 15, 27, 54, 78, 123, 216, 345)]
Delaney-Dress Symbol <1499.2:10:1 3 5 7 9 10,2 4 10 6 8 9,1 2 3 6 7 8 9 10:6 4,4 3 4 3>
Dual net hqc1349

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 sqc14014 Pm-3m 221 cubic {4,3,4,3} 68 (4,5)
Full image sqc13989 I4132 214 cubic {4,3,4,3} 68 (4,6)
Full image sqc12099 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 UQC4656 *2223 (4,5,2) {4,3,4,3} {6.6.6.6}{6.4.6}{6.6.4.4}{4.4.4} Snet sqc14014 Snet sqc13989 Snet sqc12099

Symmetry-lowered hyperbolic tilings