h-net: hqc821


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,4,4}
2D vertex symbol {6.5.5.6}{6.5.6.5}{5.5.5.5}
Delaney-Dress Symbol <821.2:8:1 3 5 7 8,2 3 6 5 8,1 4 5 6 7 8:6 5,4 4 4>
Dual net hqc669

Derived s-nets

s-nets with faithful topology

27 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 sqc1902 Fmmm 69 orthorhombic {4,4,4} 8 (3,4)
Full image sqc1903 Fmmm 69 orthorhombic {4,4,4} 8 (3,4)
Full image sqc2071 Fmmm 69 orthorhombic {4,4,4} 8 (3,4)
Full image sqc2175 Fmmm 69 orthorhombic {4,4,4} 8 (3,4)
Full image sqc7728 P4/mmm 123 tetragonal {4,4,4} 16 (3,4)
Full image sqc8072 P4/mmm 123 tetragonal {4,4,4} 16 (3,4)
Full image sqc8145 P4/mmm 123 tetragonal {4,4,4} 16 (3,4)
Full image sqc7601 I4122 98 tetragonal {4,4,4} 16 (3,5)
Full image sqc7602 I4122 98 tetragonal {4,4,4} 16 (3,5)
Full image sqc7765 Fddd 70 orthorhombic {4,4,4} 16 (3,5)
Full image sqc7766 I4122 98 tetragonal {4,4,4} 16 (3,5)
Full image sqc7784 Fddd 70 orthorhombic {4,4,4} 16 (3,5)
Full image sqc7785 Fddd 70 orthorhombic {4,4,4} 16 (3,5)
Full image sqc8073 I4122 98 tetragonal {4,4,4} 16 (3,5)
Full image sqc8087 Fddd 70 orthorhombic {4,4,4} 16 (3,5)
Full image sqc8093 Fddd 70 orthorhombic {4,4,4} 16 (3,5)
Full image sqc8122 I4122 98 tetragonal {4,4,4} 16 (3,5)
Full image sqc1766 Cmma 67 orthorhombic {4,4,4} 8 (3,4)
Full image sqc1901 Cmma 67 orthorhombic {4,4,4} 8 (3,4)
Full image sqc2079 Cmma 67 orthorhombic {4,4,4} 8 (3,4)
Full image sqc2104 P42/mcm 132 tetragonal {4,4,4} 8 (3,4)
Full image sqc2105 P4222 93 tetragonal {4,4,4} 8 (3,4)
Full image sqc2119 Cmma 67 orthorhombic {4,4,4} 8 (3,4)
Full image sqc2190 P4222 93 tetragonal {4,4,4} 8 (3,4)
Full image sqc2191 P4222 93 tetragonal {4,4,4} 8 (3,4)
Full image sqc2192 P4222 93 tetragonal {4,4,4} 8 (3,4)
Full image sqc2193 Cmma 67 orthorhombic {4,4,4} 8 (3,4)

s-nets with edge collapse


Derived U-tilings

10 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC3736 *22222a (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc7728 Snet sqc7601 Snet sqc2104
Tiling details UQC3737 *22222a (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc7174 Snet sqc7602 Snet sqc2105
Tiling details UQC3738 *22222a (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc7343 Snet sqc7766 Snet sqc2192
Tiling details UQC3739 *22222b (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc1571 Snet sqc7785 Snet sqc1766
Tiling details UQC3740 *22222a (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc8145 Snet sqc8122 Snet sqc2190
Tiling details UQC3741 *22222b (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc2175 Snet sqc8087 Snet sqc2119
Tiling details UQC3742 *22222a (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc8072 Snet sqc8073 Snet sqc2191
Tiling details UQC3743 *22222b (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc2071 Snet sqc7784 Snet sqc1901
Tiling details UQC3744 *22222b (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc1902 Snet sqc8093 Snet sqc2193
Tiling details UQC3745 *22222b (3,4,2) {4,4,4} {6.5.5.6}{6.5.6.5}{5.5.5.5} Snet sqc1903 Snet sqc7765 Snet sqc2079

Symmetry-lowered hyperbolic tilings