h-net: hqc371


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,4,4}
2D vertex symbol {4.5.5.4}{5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(4, 10, 22, 46, 96, 198, 410, 846, 1748, 3608), (4, 12, 24, 52, 104, 220, 448, 932, 1916, 3968), (4, 12, 28, 52, 112, 228, 476, 972, 2020, 4160)]
Delaney-Dress Symbol <371.2:7:1 2 3 5 7,2 4 6 7,1 3 4 5 6 7:4 5,4 4 4>
Dual net hqc338

Derived s-nets

s-nets with faithful topology

18 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 sqc6637 I4/mmm 139 tetragonal {4,4,4} 14 (3,4)
Full image sqc6910 Fmmm 69 orthorhombic {4,4,4,4,4} 14 (5,7)
Full image sqc6929 I4/mmm 139 tetragonal {4,4,4} 14 (3,4)
Full image sqc6931 Fmmm 69 orthorhombic {4,4,4,4,4} 14 (5,7)
Full image sqc11821 P4/mmm 123 tetragonal {4,4,4,4,4} 28 (5,7)
Full image sqc11966 P4/mmm 123 tetragonal {4,4,4,4,4} 28 (5,7)
Full image sqc11811 I41/acd 142 tetragonal {4,4,4} 28 (3,4)
Full image sqc11820 I4122 98 tetragonal {4,4,4,4,4} 28 (5,8)
Full image sqc11967 I4122 98 tetragonal {4,4,4,4,4} 28 (5,8)
Full image sqc11980 Fddd 70 orthorhombic {4,4,4,4,4} 28 (5,8)
Full image sqc11981 Fddd 70 orthorhombic {4,4,4,4,4} 28 (5,8)
Full image sqc12000 I41/acd 142 tetragonal {4,4,4} 28 (3,4)
Full image sqc6458 P42/nnm 134 tetragonal {4,4,4} 14 (3,4)
Full image sqc6630 P4222 93 tetragonal {4,4,4,4,4} 14 (5,7)
Full image sqc6713 P4222 93 tetragonal {4,4,4,4,4} 14 (5,7)
Full image sqc6909 Cmma 67 orthorhombic {4,4,4,4,4} 14 (5,7)
Full image sqc6926 P42/nnm 134 tetragonal {4,4,4} 14 (3,4)
Full image sqc6933 Cmma 67 orthorhombic {4,4,4,4,4} 14 (5,7)

s-nets with edge collapse

No items to display.

Derived U-tilings

6 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC3323 *2224 (3,4,2) {4,4,4} {4.5.5.4}{5.5.5.5}{5.5.5.5} Snet sqc6637 Snet sqc11811 Snet sqc6458
Tiling details UQC3324 *2224 (3,4,2) {4,4,4} {4.5.5.4}{5.5.5.5}{5.5.5.5} Snet sqc6929 Snet sqc12000 Snet sqc6926
Tiling details UQC5796 *22222b (5,7,2) {4,4,4,4,4} {4.5.5.4}{4.4.5.5}{5.5.5.5}{5.5.... Snet sqc6910 Snet sqc11980 Snet sqc6933
Tiling details UQC5797 *22222b (5,7,2) {4,4,4,4,4} {4.5.5.4}{4.4.5.5}{5.5.5.5}{5.5.... Snet sqc6931 Snet sqc11981 Snet sqc6909
Tiling details UQC5798 *22222a (5,7,2) {4,4,4,4,4} {4.5.5.4}{4.4.5.5}{5.5.5.5}{5.5.... Snet sqc11966 Snet sqc11967 Snet sqc6630
Tiling details UQC5799 *22222a (5,7,2) {4,4,4,4,4} {4.5.5.4}{4.4.5.5}{5.5.5.5}{5.5.... Snet sqc11821 Snet sqc11820 Snet sqc6713

Symmetry-lowered hyperbolic tilings