Related Polyhedra and Tilings
The triakis triangular tiling is a part of a sequence of polyhedra and tilings, extending into the hyperbolic plane. These face-transitive figures have (*n32) reflectional symmetry.
Symmetry *n32 |
Spherical | Euclidean | Hyperbolic... | |||||
---|---|---|---|---|---|---|---|---|
*232 D3h |
*332 Td |
*432 Oh |
*532 Ih |
*632 P6m |
*732 |
*832 ... |
*∞32 |
|
Truncated figures |
3.4.4 |
3.6.6 |
3.8.8 |
3.10.10 |
3.12.12 |
3.14.14 |
3.16.16 |
3.∞.∞ |
Coxeter Schläfli |
t0,1{2,3} |
t0,1{3,3} |
t0,1{4,3} |
t0,1{5,3} |
t0,1{6,3} |
t0,1{7,3} |
t0,1{8,3} |
t0,1{∞,3} |
Uniform dual figures | ||||||||
Triakis figures |
V3.4.4 |
V3.6.6 |
V3.8.8 |
V3.10.10 |
V3.12.12 |
V3.14.14 |
V3.16.16 |
V3.∞.∞ |
Coxeter |
The triakis triangular tiling is a part of a set of uniform dual tilings, corresponding to the dual of the truncated hexagonal tiling.
Symmetry:, (*632) | +, (632) | , (*333) | , (3*3) | |||||||
---|---|---|---|---|---|---|---|---|---|---|
{6,3} | t0,1{6,3} | t1{6,3} | t1,2{6,3} | t2{6,3} | t0,2{6,3} | t0,1,2{6,3} | s{6,3} | h{6,3} | h1,2{6,3} | |
Uniform duals | ||||||||||
V6.6.6 | V3.12.12 | V3.6.3.6 | V6.6.6 | V3.3.3.3.3.3 | V3.4.12.4 | V.4.6.12 | V3.3.3.3.6 | V3.3.3.3.3.3 |
Read more about this topic: Triakis Triangular Tiling
Famous quotes containing the word related:
“So universal and widely related is any transcendent moral greatness, and so nearly identical with greatness everywhere and in every age,as a pyramid contracts the nearer you approach its apex,that, when I look over my commonplace-book of poetry, I find that the best of it is oftenest applicable, in part or wholly, to the case of Captain Brown.”
—Henry David Thoreau (18171862)