h-net: hqc2045


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,6,2)
Vertex degrees{4,4,4,6}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(4, 8, 16, 28, 48, 84, 144, 248, 428, 736), (4, 10, 18, 32, 56, 96, 166, 286, 492, 848), (4, 12, 20, 36, 64, 108, 188, 324, 556, 960), (6, 12, 24, 42, 72, 126, 216, 372, 642, 1104)]
Delaney-Dress Symbol <2045.2:12:1 3 5 7 9 11 12,2 12 6 11 8 10,1 4 5 6 7 8 9 10 11 12:4 4,4 4 4 6>
Dual net hqc1962

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 sqc14242 Pm-3m 221 cubic {4,4,4,6} 68 (4,6)
Full image sqc14243 I4132 214 cubic {4,4,4,6} 68 (4,7)
Full image sqc12763 P4232 208 cubic {4,4,4,6} 34 (4,6)

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 UQC5183 *2223 (4,6,2) {4,4,4,6} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc14242 Snet sqc14243 Snet sqc12763

Symmetry-lowered hyperbolic tilings