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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.
10

%I #32 Jun 05 2019 04:36:10

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

%N 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.

%C 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

%H M. F. Hasler, <a href="/A242894/a242894.png">Illustration of first 8 terms of A242894</a>, Jun 04 2019

%H Cole Leahy, <a href="http://i.stack.imgur.com/FR1Yh.jpg">Image of a symmetric patch of tiles with a 'Star' at the center</a> (from <a href="https://tex.stackexchange.com/questions/114157/tell-tikz-not-to-draw-paths-with-least-one-coordinate-outside-clipping-region">a question about drawing subregions of Penrose tilings</a> on TeX - LaTeX Stack Exchange), May 2013.

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

%K nonn,more

%O 1,1

%A _Felix Fröhlich_, May 25 2014