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:
“Tsars and slaves, the intelligent and the obtuse, publicans and pharisees all have an identical legal and moral right to honor the memory of the deceased as they see fit, without regard for anyone else’s opinion and without the fear of hindering one another.”
—Anton Pavlovich Chekhov (1860–1904)