Navigating the Intricate World of Fractals

Welcome to the studio of Alessandra, a renowned modern artist known for her striking use of geometric shapes, scaling, and fractal concepts in her artwork. She believes that understanding and applying these mathematical principles can add depth and intrigue to her pieces. Today, you are Alessandra’s assistant, helping her create her next masterpiece. Alessandra’s art often embodies the concept of self-similarity. She loves to take inspiration from the nature that surrounds her. While observing a tree outside her studio, she points out the self-similarity in its structure.

Alessandra takes a break from her art and tree gazing. During her break, she observes a Romanesco broccoli that she bought from the market for lunch. This peculiar vegetable displays an excellent example of self-similarity. Each bud in the broccoli is composed of a series of smaller buds, all of which are a smaller-scale replica of the whole thing.