Topologically Identical Tilings
The hexagonal tiling can be stretched and adjusted to other geometric proportions and different symmetries.
The standard brick pattern can be considered a nonregular hexagonal tiling. Each rectangular brick has vertices inserted on the two long edges, dividing them into two collinear edges.
It can also be distorted into a chiral 4-colored tri-directional weaved pattern, distorting some hexagons into parallelograms. The weaved pattern with 4-colored faces have rotational 632 (p6) symmetry. The herringbone pattern is also a distorted hexagonal tiling.
| Regular hexagons | Hexagonal weave |
|---|---|
| p6m (*632) | p6 (632) |
| Brick pattern | Herringbone |
| p4g (4*2) | |
| | | |
Read more about this topic: Hexagonal Tiling
Famous quotes containing the word identical:
“What if there are not only two nostrils, two eyes, two lobes, and so forth, but two psyches as well, and they are separately equipped? They go through life like Siamese twins inside one person.... They can be just a little different, like identical twins, or they can be vastly different, like good and evil.”
—Norman Mailer (b. 1923)