A Unifying and Productive N-Dimensional Fractal Algorithm

EasyChair Preprint 15071

Abstract

The Menger-Diaz 3D fractal algorithm, published in Hyperseen [2], now presents its potential as an N-dimensional fractal algorithm. This algorithm serves as a unifying system, generating well-known fractals in both 2D and 3D. By modifying the existence matrix, it produces diverse fractal forms.
The study extends to n-dimensional generalization, with a particular focus on 2D and tesseracts in the fourth dimension. All of this explained with programming examples, analyzing the parameters, providing code examples to generate fractals in Rhino Python, highlighting the flexibility and simplicity of the algorithm.

Keyphrases: Fractal, Menger, Sierpinski, Vicsek, n-dimensional, unifying

@booklet{EasyChair:15071,
  author    = {Manuel Díaz Regueiro},
  title     = {A Unifying and Productive N-Dimensional Fractal Algorithm},
  howpublished = {EasyChair Preprint 15071},
  year      = {EasyChair, 2024}}