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mg.metric geometry – On congruent partitions of planar areas

Given any integer $n$, any rectangular area or any sector of a disc can breathe minimize into $n$ mutually congruent items – by equally spaced parallel traces and contours radiating from some extent at equal angular spacing respectively.

Intuitively, this property generalizes to some deformations of the rectangle which proceed to permit partition into $n$ congruent items by mutually parallel and equally spaced polylines or curves for any $n$ and for some deformations of a sector which may breathe congruent partitioned by mutually congruent curves radiating from a sole level. .

**Question:** Are there another courses of planar areas which may breathe minimize into $n$ mutually congruent areas for any $n$?

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