A Mathematical Artwork for Pi Day

Pi is an international number. This number can be a symbol of peace between nations. The following image is a public domain artwork that I have created in honor of Pi day. Here I would like to mention some of the mathematicians who played a significant role in the history of Pi: Archimedes, Liu Hui, Aryabhata, Jamshid Kashani, William Jones, Johann Heinrich Lambert, Ferdinand von Lindemann.

Pi (2,000 Circles)


This image shows 2,000 circles. For k=1,2,3,...,2000 the center of the k-th circle is (X(k), Y(k)) and the radius of the k-th circle is R(k), where