Geodesic
The pentagram map.
Experimental mathematics, Tome 1 (1992) no. 1, pp. 71-81.

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Keywords: projective transformation, pentagram maps, convex polygons, iterated images, asymptotic behavior 
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Schwartz, Richard. The pentagram map.. Experimental mathematics, Tome 1 (1992) no. 1, pp. 71-81. http://geodesic.mathdoc.fr/item/EXMA_1992__1_1_228847/