A242895 Beginning with a central 'Sun' 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, 5, 10, 15, 20, 25, 30

Offset

1,1

Comments

The initial 5 corresponds to the "Sun" configuration made of 5 Penrose "Kites". In view of the 5-fold rotational symmetry, all terms are divisible by 5, see the illustrations given as LINKS. - M. F. Hasler, Jun 05 2019

Links

Table of n, a(n) for n=1..7.

Sam T. Benge(?), Image of 'Sun' and 'Star' configurations in a centrally symmetric 'Kite' and 'Dart' tiling, post to the POV-Ray Newsgroup, Oct 31 2009.

Wikipedia, Penrose tiling, Deflation for P2 and P3 tilings. (Defines "sun" and "star" configurations and generations corresponding to terms of this sequence.)

Crossrefs

Cf. A242128, A242129, A242888, A242889, A242890, A242891, A242892, A242893, A242894.

Sequence in context: A109064 A138506 A000728 * A242129 A022088 A245418

Adjacent sequences: A242892 A242893 A242894 * A242896 A242897 A242898

Keyword

nonn,more

Author

Felix Fröhlich, May 25 2014

Status

approved