h-net: hqc2002


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,6,4)
Vertex degrees{3,6}
2D vertex symbol {4.4.8}{8.4.4.8.4.4}
Delaney-Dress Symbol <2002.2:12:1 2 3 5 7 8 9 10 11 12,2 4 10 8 9 12,3 8 6 7 9 11 12:4 8 4 4,3 6>
Dual net hqc2037

Derived s-nets

s-nets with faithful topology

23 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 sqc801 Pmmm 47 orthorhombic {3,6} 6 (2,6)
Full image sqc5047 Fmmm 69 orthorhombic {3,6} 12 (2,6)
Full image sqc10912 P4/mmm 123 tetragonal {6,3} 24 (2,6)
Full image sqc10707 I4122 98 tetragonal {6,3,3} 24 (3,7)
Full image sqc10759 I4122 98 tetragonal {6,3,3} 24 (3,7)
Full image sqc10800 Fddd 70 orthorhombic {6,3,3} 24 (3,7)
Full image sqc10804 I4122 98 tetragonal {6,3,3} 24 (3,7)
Full image sqc10807 Fddd 70 orthorhombic {6,3,3} 24 (3,7)
Full image sqc10813 Fddd 70 orthorhombic {6,3,3} 24 (3,7)
Full image sqc10816 Fddd 70 orthorhombic {6,3,3} 24 (3,7)
Full image sqc10817 Fddd 70 orthorhombic {6,3,3} 24 (3,7)
Full image sqc10882 I4122 98 tetragonal {6,3,3} 24 (3,7)
Full image sqc11045 I4122 98 tetragonal {6,3,3} 24 (3,7)
Full image sqc803 Pmmm 47 orthorhombic {3,6} 6 (2,6)
Full image sqc901 Pmmm 47 orthorhombic {3,6} 6 (2,6)
Full image sqc4875 P4222 93 tetragonal {3,6} 12 (2,6)
Full image sqc5039 P4222 93 tetragonal {3,6} 12 (2,6)
Full image sqc5048 Cmma 67 orthorhombic {6,3} 12 (2,6)
Full image sqc5073 P4222 93 tetragonal {3,6} 12 (2,6)
Full image sqc5314 Cmma 67 orthorhombic {3,6} 12 (2,6)
Full image sqc5364 P4222 93 tetragonal {3,6} 12 (2,6)
Full image sqc5366 P4222 93 tetragonal {3,6} 12 (2,6)

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 UQC2344 *22222a (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} No s‑net Snet sqc10707 Snet sqc4875
Tiling details UQC2345 *22222a (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} Snet sqc10429 Snet sqc10759 Snet sqc5039
Tiling details UQC2346 *22222b (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} Snet sqc4622 Snet sqc10816 Snet sqc901
Tiling details UQC2347 *22222b (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} Snet sqc801 Snet sqc10800 Snet sqc5314
Tiling details UQC2348 *22222b (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} No s‑net Snet sqc10817 Snet sqc803
Tiling details UQC2349 *22222b (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} Snet sqc5047 Snet sqc10807 Snet sqc801
Tiling details UQC2350 *22222b (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} Snet sqc801 Snet sqc10813 Snet sqc5048
Tiling details UQC2351 *22222a (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} No s‑net Snet sqc11045 Snet sqc5366
Tiling details UQC2352 *22222a (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} Snet sqc10912 Snet sqc10882 Snet sqc5364
Tiling details UQC2353 *22222a (2,6,4) {6,3} {4.4.8}{8.4.4.8.4.4} Snet sqc4619 Snet sqc10804 Snet sqc5073

Symmetry-lowered hyperbolic tilings