h-net: hqc2233


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{6,4,3,4,4}
2D vertex symbol {5.5.5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(6, 24, 60, 132, 276, 594, 1284, 2772, 5964, 12840), (4, 10, 26, 62, 146, 320, 694, 1492, 3216, 6926), (3, 7, 14, 37, 87, 202, 437, 948, 2037, 4394), (4, 8, 16, 44, 108, 248, 528, 1136, 2454, 5294), (4, 6, 10, 22, 64, 152, 340, 718, 1552, 3354)]
Delaney-Dress Symbol <2233.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:5 4,6 4 3 4 4>
Dual net hqc2147

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 sqc14309 Pm-3m 221 cubic {6,4,3,4,4} 80 (5,6)
Full image sqc14310 I4132 214 cubic {6,4,3,4,4} 80 (5,7)
Full image sqc12913 P4232 208 cubic {4,3,4,4,6} 40 (5,6)

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 UQC5635 *2223 (5,6,2) {6,4,3,4,4} {5.5.5.5.5.5}{5.4.4.5}{5.4.4}{4.... Snet sqc14309 Snet sqc14310 Snet sqc12913

Symmetry-lowered hyperbolic tilings