h-net: hqc2060


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,6,4,6}
2D vertex symbol {4.4.4}{4.4.4.4}{4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(3, 6, 15, 36, 87, 198, 483, 1101, 2673, 6084), (4, 11, 26, 64, 146, 355, 810, 1968, 4477, 10863), (6, 16, 40, 92, 224, 510, 1238, 2816, 6832, 15544), (4, 12, 30, 68, 166, 380, 924, 2104, 5108, 11618), (6, 18, 42, 102, 234, 570, 1296, 3144, 7152, 17352)]
Delaney-Dress Symbol <2060.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,3 4 6 4 6>
Dual net hqc1939

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 sqc12749 P4232 208 cubic {3,4,6,4,6} 32 (5,5)
Full image sqc12750 I213 199 cubic {3,4,6,4,6} 32 (5,6)
Full image sqc12747 F-43m 216 cubic {3,4,6,4,6} 32 (5,5)

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 UQC5411 *2323 (5,5,2) {3,4,6,4,6} {4.4.4}{4.4.4.4}{4.4.4.4.4.4}{4.... Snet sqc12749 Snet sqc12750 Snet sqc12747

Symmetry-lowered hyperbolic tilings