Flowers are symbols of beauty, love and happiness. Trigonometric functions enable us to draw beautiful mathematical shapes that resemble flowers. Below are some instances which I made by drawing circles, ellipses and circular arcs. At the end of this post you can see the mathematical description of "9,000 Circles".
This image shows 9,000 circles. For each k=1,2,3,...,9000 the center of the k-th circle is (X(k), Y(k)) and the radius of the k-th circle is R(k), where