Tiling with 16-fold symmetry (n=8)

The tiling for n=8 showing 16-fold symmetry is shown below.

PDF version

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

Tile 1, 1^st 5 iterations PDF	Tile 1, 6^th iteration PDF	Tile 1, 7^th iteration PDF
Tile 2, 1^st 5 iterations PDF	Tile 2, 6^th iteration PDF	Tile 3, 1^st 5 iterations PDF
Tile 4, 1^st 4 iterations PDF	Tile 5, 1^st 3 iterations PDF	Tile 6, 1^st 3 iterations PDF
Tile 7, 1^st 2 iterations PDF	Tile 7, 3^rd iteration PDF	Tile 8, 1^st 3 iterations PDF
Tile 9, 1^st 3 iterations PDF	Tile 10, 1^st 3 iterations PDF	Tile 11, 1^st 2 iterations PDF
Tile 11, 3^rd iteration PDF	Tile 12, 1^st 3 iterations PDF	Tile 13, 1^st 3 iterations PDF
Tile 14, 1^st 3 iterations PDF	Tile 15, 1^st 2 iterations PDF	Tile 15, 3^rd iteration PDF

Periodic tiles and fixed points

There are no periodic tiles in this pattern. 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 Fillign the Gaps n-fold tiling

Copyright 2020 by Jim Millar