Published June 4, 2026 | Version 1.0.0

The Sevenfold Perfection: The Reuleaux Tetrahedron as the Seventh Platonic Solid and an Ontological Synthesis of Being

  • 1. Independent researcher, Kyiv, Ukraine

Description

This work is an ontological study aimed at overcoming the limitations of the classical system of the five Platonic solids. The author substantiates the transition from the static "skeleton" of fivefold symmetry to a dynamic Sevenfold Octave of Being. The core discovery is the introduction of the sixth (Sphere) and the seventh (Reuleaux Tetrahedron) regular bodies, where the latter is identified as the biological Seed. Through the linguistic code (SEED [SEMYA] = SEVEN [SEM]), the author demonstrates the completeness of the universe as a harmonic system. The paper derives the "Mathematics of One Hundred," integrating Platonic geometry, Democritus' atomism, and sacred numerology (the number 40), transforming a dry mathematical structure into an organic model of Life.

Author portal: https://sites.google.com/view/yermakov-orcid

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Additional details

Identifiers

Other
UDC 514.11:111:130.2

Related works

Is supplement to
Preprint: https://univ-kiev.academia.edu/OlegYermakov (Other)

References

  • 1. Plato. (1997). Timaeus (D. J. Zeyl, Trans.). In J. M. Cooper (Ed.), Plato: Complete Works (pp. 1224–1291). Hackett Publishing Company. 2. Euclid. (1956). The Thirteen Books of Euclid's Elements (T. L. Heath, Trans.; 2nd ed., Vol. 3). Dover Publications. (Original work published ca. 300 BCE). 3. Reuleaux, F. (1876). The Kinematics of Machinery: Outlines of a Theory of Machines (A. B. W. Kennedy, Trans.). Macmillan and Company. (See Chapter IV: "Phoronomic Propositions", pp. 115–150). 4. Gurdjieff, G. I. (1950). All and Everything: Beelzebub's Tales to His Grandson. Harcourt, Brace & World. (On the Law of Sevenfoldness, pp. 748–810). 5. Ouspensky, P. D. (1922). Tertium Organum: The Third Canon of Thought (N. Bessaraboff & C. Bragdon, Trans.). Alfred A. Knopf. (On the dimensions of space, pp. 34–62). 6. Schwaller de Lubicz, R. A. (1998). The Temple in Man: Sacred Architecture and the Perfect Man. Inner Traditions. (Original work published 1949). 7. Bulgakov, M. A. (1967). The Master and Margarita (M. Glenny, Trans.). Harper & Row. (On the philosophical nature of the "Seventh Proof", Chapter 1). 8. Gardner, M. (1988). The Unexpected Hanging and Other Mathematical Diversions. University of Chicago Press. (Chapter 18: "Curves of Constant Width", pp. 212–221).