Special Collection: Perfect colourings
There are 19 entries in this table of all the perfect colourings in this collection.
This property is considered for the plane filled with either squares, hexagons or equilateral
triangles. A perfect colouring is a colouring of the basic polygons such that
any symmetry operation permutes the colours of the polygons.
As an example, consider the checkerboard coloring of the square lattice.
A rotation about the centre of any square leaves the colours unchanged,
while moving one square to the left interchanges the two colours.
Hence the cherboard is a perfect colouring of just two colours.
The first entry in the table is the basic polygon, the second entry the number of colours
and the last entry the link to the pattern.
NB. The colours are chosen at random. Examples using only one colour are not included!