Exploring a Taxicab-based Mandelbrot-like Set
Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture
Pages 107–114
Regular Papers
Abstract
We describe the development and application of a novel fractal. The fractal resembles the well-known Mandelbrot fractal, but it has different aesthetic qualities. Whereas the traditional quadratic mapping uses the addition and multiplication of complex numbers, for this work, we define an unconventional multiplication operation, inspired by the Taxicab metric. We explore the visual features of the fractal, aiming to design an attractive fashion item.