h-net: hqc1901


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,4,4,3}
2D vertex symbol {5.3.3.5.5.3.3.5}{5.5.3.3}{3.3.3.3}{5.5.5}
Vertex coordination sequence [(8, 20, 36, 76, 152, 300, 592, 1168, 2304, 4556), (4, 13, 35, 64, 127, 248, 495, 979, 1935, 3814), (4, 12, 34, 58, 118, 232, 464, 918, 1812, 3570), (3, 9, 27, 60, 105, 216, 426, 843, 1668, 3288)]
Delaney-Dress Symbol <1901.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,8 4 4 3>
Dual net hqc1748

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 sqc14073 Pm-3m 221 cubic {8,4,4,3} 56 (4,5)
Full image sqc14075 I4132 214 cubic {8,4,4,3} 56 (4,6)
Full image sqc12479 P4232 208 cubic {4,4,3,8} 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 UQC5108 *2223 (4,5,2) {8,4,4,3} {5.3.3.5.5.3.3.5}{5.5.3.3}{3.3.3... Snet sqc14073 Snet sqc14075 Snet sqc12479

Symmetry-lowered hyperbolic tilings