Hexagonal Tiling - Topologically Identical Tilings

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.

4-color hexagonal tilings
Regular hexagons Hexagonal weave
p6m (*632) p6 (632)
Brick pattern Herringbone
p4g (4*2)
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