
All pictures from WinCrv  
Introduction 
Ernesto Cesaro, an italian mathematician, described several curves that now
bears his name. The curve showed below, dated back to 1905, was used by Mandebrot
in his work on fractals. The Cesaro curve is a set of two curves with intricate patterns that fit into each other. 

Construction 
As almost all fractals curves, the construction of the Cesaro curve is
based on a recursive procedure. 

Properties 


Variations (using WinCrv) 


Author Biography 
Born: 12 March 1859 in Naples, Italy Died: 12 Sept 1906 in Torre Annunziata, Italy Ernesto Cesāro studied in Naples, then in Ličge going after some time to Ecole des Mines of Ličge. He received a doctorate from the University of Rome in 1887. Cesāro held the chair of mathematics at Palermo until 1891, moving then to Rome where he held the chair until his death. Cesāro's main contribution was to differential geometry. This is his most important contribution which he described in Lezione di geometria intrinseca (Naples, 1890). This work contains descriptions of curves which today are named after Cesāro. In addition to differential geometry, he worked on many topics such as number theory, divergent series and mathematical physics. Biography From School of Mathematics and Statistics  University of StAndrews, Scotland 