A243884 Type of walk that occurs when walking along a ray emanating from the center of a rotationally symmetric Penrose rhomb tiling with a "Sun" patch at the center (see comments for details).

1, 2, 1, 2, 3, 1, 2, 4, 1, 2, 1, 2, 3, 1, 2, 1, 4, 2, 1, 3, 2, 1, 2, 1, 2, 3, 1, 2, 4, 1, 2, 1, 3, 2, 1, 2, 1, 2, 3, 1, 2, 4, 1, 2, 1, 2, 3, 1, 2, 1, 4, 2, 1, 3, 2, 1, 2, 1, 2, 3

Offset: 1

Author

Felix Fröhlich, Jun 13 2014

Keywords

• nonn
• more

Comments

The ray starts at the center of the tiling and goes through the center of one of the thick rhombs of the central "Sun" patch. The walk types that can occur are encoded as follows:

Walk type | Number

---------------------------------------

along diagonal of thick rhomb | 1

along edge of thick rhomb | 2

along diagonal of thin rhomb | 3

along edge of thin rhomb | 4

Examples

			See illustration in Fröhlich, 2019.
		

Links

• Felix Fröhlich, Ray emanating from the center of a Penrose rhomb tiling with a "Sun" patch at the center, 2019.
• Wikipedia, Penrose tiling

Crossrefs

Cf. A242129.

Extensions

More terms, new name and editing from Felix Fröhlich, Jun 16 2019