Geodesic
The Harmonic Analysis of Polygons and Napoleon's Theorem
Journal for geometry and graphics, Tome 5 (2001) no. 1, pp. 013-022.

Voir la notice de l'article provenant de la source Heldermann Verlag

Plane closed polygons are harmonically analysed, i.e., they are expressed in the form of the sum of fundamental k-regular polygons. From this point of view Napoleon's theorem and its generalization, the so-called theorem of Petr, are studied. By means of Petr's theorem the fundamental polygons of an arbitrary polygon have been found geometrically. 
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     author = {P. Pech},
     title = {The {Harmonic} {Analysis} of {Polygons} and {Napoleon's} {Theorem}},
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P. Pech. The Harmonic Analysis of Polygons and Napoleon's Theorem. Journal for geometry and graphics, Tome 5 (2001) no. 1, pp. 013-022. http://geodesic.mathdoc.fr/item/JGG_2001_5_1_a1/