Geometria Philosophica: Armonía Platónica - Gamma (Γ)

Formula: Γ = γ(n - 1)
The harmony is in recurring forms, where each subsequent shape (n) is a reflection of the one before.

Plato’s philosophy holds that harmony is an essential characteristic of the cosmos, a theme that is woven through dialogues like "Timaeus" where he reflects on the soul of the world. The formula Γ = γ(n - 1) uses γ (gamma) to denote harmony, and in the context of this formula, it multiplies the sequence of natural numbers reduced by one. This reflects the idea that true harmony in the Platonic sense is not found in the mere addition of parts, but in their proportional and meaningful arrangement. The numbers n - 1 symbolize the parts of the whole that, when in correct proportion, create harmony. This is emblematic of the Music of the Spheres, where celestial bodies produce ethereal music through their orbital resonance, a concept that Plato and his followers might have found aesthetically and philosophically sublime.

All structures of life are harmonized at different levels. In the book Timaeus we find references to how the Ideals were created in a kind of orchestration, and Plato discusses the role of proportion in the creation of the cosmos and the harmony of the Forms.

Time is only cyclical and space is solely a phase of the development of forms. Expression in artistic terms tends to Harmonia.