Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Moshe Stupel, Avi Sigler and Idan Tal
Pages: [51] - [65]
Received Date: October 18, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121733
We give an interesting description of a dynamic process in which a polygon inscribed in a circle converges to a perfect polygon, and also of the convergence of a triangle where in a stage-by-stage manner one constructs a triangle, the length of whose sides are the averages of the side lengths of the previous triangle, which monotonically converges by a dynamic process to an equilateral triangle. Mathematical proofs are given to the convergence to a perfect polygon, and the stages are presented visually using computerized dynamic applets which one can reach by links that exist in the paper.
dynamic convergence process, perfect polygons, using computerized technology.
