A361694 - OEIS

A361694

Decimal expansion of (2 - phi)/3, with phi being the golden ratio A001622.

1, 2, 7, 3, 2, 2, 0, 0, 3, 7, 5, 0, 0, 3, 5, 0, 5, 0, 5, 9, 8, 4, 7, 1, 0, 5, 5, 2, 1, 1, 4, 5, 3, 9, 6, 0, 7, 5, 9, 8, 9, 6, 9, 4, 0, 0, 6, 4, 7, 4, 5, 7, 1, 2, 6, 2, 1, 5, 1, 7, 1, 2, 5, 7, 6, 4, 9, 1, 3, 1, 7, 9, 0, 6, 0, 3, 6, 5, 8, 5, 0, 0, 9, 7, 5, 9, 7, 5, 9, 8, 6, 0, 3, 5, 3, 6, 2, 8, 7, 5, 0, 5

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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

Table of n, a(n) for n=0..101.

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