h-net: hqc907


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{4,3,3,3}
2D vertex symbol {4.4.4.4}{4.16.4}{4.16.16}{16.16.16}
Vertex coordination sequence [(4, 4, 4, 8, 16, 24, 32, 40, 68, 100), (3, 5, 6, 10, 16, 24, 32, 51, 71, 102), (3, 5, 8, 11, 17, 24, 38, 52, 77, 103), (3, 6, 9, 12, 15, 27, 42, 57, 69, 114)]
Delaney-Dress Symbol <907.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 16,4 3 3 3>
Dual net hqc682

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 sqc13550 Pm-3n 223 cubic {4,3,3,3} 62 (4,3)
Full image sqc13533 I-43d 220 cubic {4,3,3,3} 62 (4,4)
Full image sqc11231 P-43m 215 cubic {3,3,4,3} 31 (4,3)

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 UQC4233 *344 (4,3,2) {4,3,3,3} {4.4.4.4}{4.16.4}{4.16.16}{16.16... Snet sqc13550 Snet sqc13533 Snet sqc11231

Symmetry-lowered hyperbolic tilings