OFFSET
0,2
COMMENTS
In the Smith et al. paper a one-parameter family of simple polygons is presented where each member of the family tiles the plane but only aperiodically. The tiles are asymmetric, so may occur in one of two orientations; this constant is the proportion of tiles with the less frequent orientation in the tiling.
LINKS
David Smith, Joseph Myers, Craig Kaplan and Chaim Goodman-Strauss, An aperiodic monotile, arXiv:2303.10798 [math.CO], 2023.
FORMULA
Equals (3 - sqrt(5))/6 = 1/2 - sqrt(5)/6.
EXAMPLE
0.12732200375003505059847105521145...
MATHEMATICA
RealDigits[(3 - Sqrt[5])/6, 10, 105][[1]]
PROG
(PARI) (3-sqrt(5))/6
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jeremy Tan, Mar 22 2023
STATUS
approved