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This is a list of tessellations.
Regular Spherical (n=1, 2, 3, ...) | |||
---|---|---|---|
Article | Vertex configuration | Schläfli symbol | Image |
Dihedron | n2 | {n,2} | {6,2} |
Hosohedron | 2n | {2,n} | {2,6} |
Spherical tetrahedron | 33 | {3,3} | |
Spherical octahedron | 34 | {3,4} | |
Spherical cube | 43 | {4,3} | |
Spherical icosahedron | 35 | {3,5} | |
Spherical dodecahedron | 53 | {5,3} |
Semi-regular Spherical (n=2, 3, ...) | |||
---|---|---|---|
Article | Vertex configuration | Schläfli symbol | Image |
Prism | 4.4.n | t{2, n} = { }×{n} |
{ }×{6} |
Antiprism | 33.n | sr{2,n} = { }⊗{n} |
{ }⊗{6} |
Dual semi-regular Spherical (n=2, 3, ...) | |||
---|---|---|---|
Article | Vertex configuration | Schläfli symbol | Image |
Bipyramid | V42.n | dt{2, n} = { }+{n} |
{ }+{6} |
Trapezohedron | V33.n | dsr{2,n} = { }⨁{n} |
{ }⨁{6} |
Regular | |||
---|---|---|---|
Article | Vertex configuration | Schläfli symbol | Image |
Apeirogonal hosohedron | 2∞ | {2,∞} | |
Order-2 apeirogonal tiling | ∞2 | {∞,2} | |
Square tiling | 44 | {4,4} | |
Triangular tiling | 36 | {3,6} | |
Hexagonal tiling | 63 | {6,3} |
Semi-regular | |||
---|---|---|---|
Article | Vertex configuration | Schläfli symbol | Image |
Apeirogonal prism | 42.∞ | t{2,∞} | |
Apeirogonal antiprism | 33.∞ | sr{2,∞} | |
Snub square tiling | 32.4.3.4 | s{4,4} | |
Elongated triangular tiling | 33.42 | {3,6}:e | |
Snub trihexagonal tiling | 34.6 | sr{6,3} | |
Rhombitrihexagonal tiling | 3.4.6.4 | rr{6,3} | |
Trihexagonal tiling | 3.6.3.6 | r{6,3} | |
Truncated hexagonal tiling | 3.122 | t{6,3} | |
Truncated trihexagonal tiling | 4.6.12 | tr{6,3} | |
Truncated square tiling | 4.82 | tr{4,4} |
Dual semi-regular | |||
---|---|---|---|
Article | Face configuration | Schläfli symbol | Image |
Apeirogonal deltohedron | V33.∞ | dsr{2,∞} | |
Apeirogonal bipyramid | V42.∞ | dt{2,∞} | |
Cairo pentagonal tiling | V32.4.3.4 | ds{4,4} | |
Prismatic pentagonal tiling | V33.42 | d{3,6}:e | |
Floret pentagonal tiling | V34.6 | dsr{6,3} | |
Deltoidal trihexagonal tiling | V3.4.6.4 | drr{6,3} | |
Rhombille tiling | V3.6.3.6 | dr{6,3} | |
Triakis triangular tiling | V3.122 | dt{6,3} | |
Kisrhombille tiling | V4.6.12 | dtr{6,3} | |
Tetrakis square tiling | 4.82 | tr{4,4} |
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