Metallic numbers, a link between mathematics and aesthetics

Authors

DOI:

https://doi.org/10.30973/inventio/2024.20.52/1

Keywords:

Irrational numbers, Notable numbers, Metallic ratios, Numerical sequence

Abstract

Metallic numbers are irrational numbers as their decimal expressions are made up of infinite figures that follow each other without repeating a fixed pattern. The most celebrated metallic number is the so-called golden number, or golden ratio, which is frequently found in nature and appears many times in different areas, including mathematics, geometry, physics, architecture and art, among others. However, along with the golden number there is a whole family of other less known metallic numbers, such as the silver ratio, the bronze ratio, etc., which, like the golden ratio, can be constructed as the ratio between the sides of a segment or a rectangle.

 

Author Biographies

  • Leonardo Di Girolamo Sigalotti Díaz, Área de Física de Procesos Irreversibles, Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana (UAM), Unidad Azcapotzalco

    Área de Física de Procesos Irreversibles, Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana (UAM), Unidad Azcapotzalco

  • Otto Rendón, Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana (UAM), Unidad Azcapotzalco

    Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana (UAM), Unidad Azcapotzalco

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Números metálicos, un vínculo entre matemáticas y estética

Published

2025-05-08

Issue

Section

Artículos

How to Cite

Metallic numbers, a link between mathematics and aesthetics. (2025). Inventio, 20(52), 1-9. https://doi.org/10.30973/inventio/2024.20.52/1