Colorare a benzilor in plan

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Filip Chindea
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Colorare a benzilor in plan

Post by Filip Chindea »

Coloram cu alb si negru benzile

\( S_n := \left\{ (x, y) \ : \ n \le x < n + 1 \right\} \subset \mathbb{R}^2 \), \( \forall n \in \mathbb{Z} \).

Aratati ca orice dreptunghi \( R \) care nu este patrat poate fi asezat in plan cu varfurile in benzi la fel colorate.

[ IMO Shortlist 2007, C5, si Concursul "La Scoala cu Ceas", 2008, Problema 3 ]
Life is complex: it has real and imaginary components.
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