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

1,1

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

Table of n, a(n) for n=1..11.

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.

Sequence in context: A331070 A226992 A201033 * A256641 A032242 A208541

Adjacent sequences: A242891 A242892 A242893 * A242895 A242896 A242897

Keyword

nonn,more

Author

Felix Fröhlich, May 25 2014

Status

approved