A242129 Number of tiles added in each step if a centrally symmetric Penrose rhomb tiling, beginning with a central 'Sun' configuration, is successively extended in steps as defined below.

5, 5, 10, 15, 20, 25, 40, 30, 30, 45, 60, 55, 65, 55, 70, 75, 90, 75, 90

Offset

1,1

Comments

In each step, add a new tile to each free edge of the current tiling. The first step is the placement of the five central tiles.

Links

Table of n, a(n) for n=1..19.

David Austin, Penrose tiles talk across miles, AMS Feature Column, August 2005.

Felix Fröhlich, Layers in the Penrose rhomb tiling with a "Sun" patch as a center of global fivefold rotational symmetry, 2019.

Wikipedia, Penrose tiling

Example

See illustrations in Fröhlich, 2019.

Crossrefs

Cf. A242128 (5-fold, Star), A242888 (7-fold, Star), A242889 (7-fold, Sun), A242890 (8-fold, Star), A242891 (8-fold, Sun), A242892 (9-fold, Star), A242893 (9-fold, Sun), A242894 (Kite and dart, Star), A242895 (Kite and dart, Sun).

Sequence in context: A138506 A000728 A242895 * A022088 A245418 A082450

Adjacent sequences: A242126 A242127 A242128 * A242130 A242131 A242132

Keyword

nonn,more

Author

Felix Fröhlich, May 05 2014

Extensions

a(8)-a(19) from Felix Fröhlich, Jun 16 2019

Status

approved