6
$\begingroup$

Call a finite subset $S$ of the plane with an even number of points an odd Jackson set, if there is an $A\subset \mathbb R^2$ such that $A$ meets every congruent copy of $S$ in an odd number of points.

Are there any odd Jackson sets?

For a bit of history of related questions (and an explanation of the nomenclature), see here.
For my motivation, see here.

Improve this question
$\endgroup$
1
  • 6
    $\begingroup$ So, an odd Jackson set has an even number of points. Sounds odd to me. $\endgroup$
    – Gerry Myerson
    Commented Nov 25, 2020 at 0:56

0

Reset to default

You must log in to answer this question.

Browse other questions tagged .