h-net: hqc2215


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,3,6,4,6}
2D vertex symbol {3.5.5.3}{3.5.5}{5.5.5.5.5.5}{5.5.5.5}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 8, 24, 58, 130, 306, 694, 1602, 3656, 8416), (3, 8, 20, 56, 117, 284, 643, 1494, 3346, 7864), (6, 18, 42, 90, 234, 480, 1200, 2556, 6300, 13416), (4, 20, 42, 104, 220, 548, 1148, 2876, 6042, 15060), (6, 15, 42, 87, 222, 468, 1170, 2445, 6114, 12873)]
Delaney-Dress Symbol <2215.2:13:1 3 5 7 9 11 13,2 3 6 13 8 10 12,1 4 5 6 7 8 9 10 11 12 13:3 5,4 3 6 4 6>
Dual net hqc2139

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 sqc12920 P4232 208 cubic {4,3,6,4,6} 38 (5,6)
Full image sqc12918 I213 199 cubic {4,3,6,4,6} 38 (5,7)
Full image sqc12919 F-43m 216 cubic {4,3,6,4,6} 38 (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 UQC5554 *2323 (5,6,2) {4,3,6,4,6} {3.5.5.3}{3.5.5}{5.5.5.5.5.5}{5.... Snet sqc12920 Snet sqc12918 Snet sqc12919

Symmetry-lowered hyperbolic tilings