OFFSET
0,2
COMMENTS
The first inflation-deflation step leads to the following configuration (where O marks the reference vertex for this sequence):
|
||||
|||||||
||||||||||
|||||||||--\\
||||||||----\\\\
|||||||------\\\\\\
|||||||-------\\\\\\\\
||||||---------\\\\\\\\\\
|||||O----------\\\\\\\\\\\\
||||////---------\\\\\\\\\\....
||||///////--------\\\\\\\........
|||///////////------\\\\\............
||///////////////----\\\\...............
|///////////////////--\\...................
|//////////////////////.......................
After k > 0 inflation-deflation steps, we can compute a finite coordination sequence c_k (until we reach the edge of the tiling after k steps). It appears that for i and j such that 0 < i < j, c_i is a prefix of c_j; this sequence is the limiting sequence of the { c_i, i > 0 } family.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..902
Rémy Sigrist, Illustration of first terms
Rémy Sigrist, PARI program for A304910
Tilings Encyclopedia, Pinwheel
Wikipedia, Pinwheel tiling
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 20 2018
STATUS
approved