h-net: hqc1825


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,6,4}
2D vertex symbol {6.4.4.6}{6.4.4}{4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 10, 18, 32, 56, 96, 166, 286, 492, 848), (3, 7, 15, 27, 48, 84, 144, 248, 428, 736), (6, 12, 24, 42, 72, 126, 216, 372, 642, 1104), (4, 10, 18, 36, 64, 108, 188, 324, 556, 960)]
Delaney-Dress Symbol <1825.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:6 4,4 3 6 4>
Dual net hqc1650

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 sqc14098 Pm-3m 221 cubic {4,3,6,4} 68 (4,5)
Full image sqc14099 I4132 214 cubic {4,3,6,4} 68 (4,6)
Full image sqc12535 P4232 208 cubic {4,3,4,6} 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 UQC4975 *2223 (4,5,2) {4,3,6,4} {6.4.4.6}{6.4.4}{4.4.4.4.4.4}{4.... Snet sqc14098 Snet sqc14099 Snet sqc12535

Symmetry-lowered hyperbolic tilings