h-net: hqc2049


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,3,4,4,6}
2D vertex symbol {4.5.5}{4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5.5.5}
Vertex coordination sequence [(3, 6, 15, 32, 61, 111, 205, 369, 667, 1201), (3, 8, 16, 34, 63, 120, 215, 390, 700, 1272), (4, 10, 24, 44, 88, 150, 284, 494, 920, 1618), (4, 16, 30, 56, 100, 184, 324, 600, 1058, 1952), (6, 15, 30, 51, 102, 180, 330, 585, 1074, 1893)]
Delaney-Dress Symbol <2049.2:12:2 4 6 8 10 12,1 2 5 12 7 9 11,3 4 5 6 7 8 9 10 11 12:4 5,3 3 4 4 6>
Dual net hqc1918

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 sqc14250 Pm-3m 221 cubic {3,3,4,4,6} 80 (5,5)
Full image sqc14251 I4132 214 cubic {3,3,4,4,6} 80 (5,6)
Full image sqc12774 P4232 208 cubic {4,3,6,3,4} 40 (5,5)

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 UQC5386 *2223 (5,5,2) {3,3,4,4,6} {4.5.5}{4.5.5}{5.5.5.5}{5.5.5.5}... Snet sqc14250 Snet sqc14251 Snet sqc12774

Symmetry-lowered hyperbolic tilings