Tiling with 14-fold symmetry (n=7)

The tiling for n=7 showing 14-fold symmetry is shown below.

PDF version

PDF of first 3 inflations.

The following pictures show at least the first 3 inflations of each prototile, with PDFs.

Tile 1, 1^st 5 inflations PDF	Tile 1, 6^th inflation PDF	Tile 1, 7^th inflation PDF
Tile 2, 1^st 5 inflations PDF	Tile 2, 6^th inflatino PDF	Tile 3, 1^st 5 inflations PDF
Tile 4, 1^st 4 inflations PDF	Tile 5, 1^st 3 inflations PDF	Tile 6, 1^st 3 inflations PDF
Tile 7, 1^st 3 inflations PDF	Tile 8, 1^st 3 inflations PDF	Tile 9, 1^st 3 inflations PDF
Tile 10, 1^st 3 inflations PDF

Periodic tiles and fixed points

There is a cycle of 7 periodic tiles above, starting with the green double-cross at the top right, and going in order down to the double-blue tile whose inflation rule includes the green double-cross in the center.

There is one fixed point vertex pattern in the tiling, emerging at every vertex, where the mandala below emerges with higher iterations. This mandala was created using the fifth iteration of the thin rhomb.

PDF version

Back to Filling the Gaps n-fold tiling.

Copyright 2020 by Jim Millar.