An Algorithm for Extending Menger-Type Fractal Structures

EasyChair Preprint 9978

Abstract

In this paper, the potential to generate a wide range of designs using an algorithm that extends Menger-type fractal constructions. The authors describe a method that can be used to build a Menger-type figure from which the initial "atoms", the rules and distances can be changed to create many interesting figures. Furthermore, this method can be applied in a new variation called Menger-Diaz. The Menger-Diaz variation is created by modifying the way initial "atoms" are removed at each level, resulting in a shape with unique properties and characteristics that are demonstrated through several examples. Therefore, this method can potentially lead to potential applications of these designs in fields such as architecture, engineering, and computer science, as well as the potential for using these designs to create artistic works.

Keyphrases: Fractal, Menger Sponge, Polihedron, algorithm, sculpture

@booklet{EasyChair:9978,
  author    = {Manuel Diaz Regueiro and Luis Diaz Allegue},
  title     = {An Algorithm for Extending Menger-Type Fractal Structures},
  howpublished = {EasyChair Preprint 9978},
  year      = {EasyChair, 2023}}