A242894 Beginning with a central 'Star' configuration of a Penrose 'Kite' and 'Dart' tiling with rotational symmetry as the first step, number of tiles that can be added to the free edges of the current tiling.

5, 10, 10, 20, 20, 25, 35, 40, 40, 45, 45

Offset: 1

Author

Felix Fröhlich, May 25 2014

Keywords

• nonn
• more

Comments

The initial 5 corresponds to the initial "star" made from 5 "darts". Given the 5-fold symmetry, all terms are divisible by 5. See the illustration for the first 8 terms. - M. F. Hasler, Jun 04 2019

Links

• M. F. Hasler, Illustration of first 8 terms of A242894, Jun 04 2019
• Cole Leahy, Image of a symmetric patch of tiles with a 'Star' at the center (from a question about drawing subregions of Penrose tilings on TeX - LaTeX Stack Exchange), May 2013.

Crossrefs

Cf. A242128, A242129, A242888, A242889, A242890, A242891, A242892, A242893, A242895.