This work examines a system of correspondences between the five Platonic solids and elements of the periodic table, extending across multiple scales of physical reality: from internal nuclear geometry to the observable universe. The proposed mapping is: cube (6 faces) → carbon (Z=6, earth); octahedron (8 faces) → oxygen (Z=8, air); tetrahedron (4 faces) → beryllium (Z=4, fire/plasma); icosahedron (20 faces) → calcium (Z=20) / icosahedral water; dodecahedron (12 faces) → magnesium (Z=12, universe/chlorophyll). The work identifies fifteen principal convergences organized into eight sections: (1) the five classical layers for carbon and oxygen (philosophical, numerical, molecular, geochemical, and temporal); (2) the golden ratio φ as a bridge between the icosahedron and dodecahedron, instantiated in DNA dimensions; (3) nitrogen (Z=7) as arithmetic and functional mediator between earth and air; (4) the four states of matter as the four classical elements in thermodynamic order; (5) the nitrogenous bases of DNA constructed with hexagons (cube/earth) and pentagons (dodecahedron/universe), with the base-pairing rule as the necessary union of earth and cosmos; (6) the four DNA replication enzymes as the four classical elements (helicase/fire, SSB/earth, topoisomerase/air, polymerase/water); (7) human embryonic development traversing the Platonic solids in sequence (tetrahedron at 4 cells, cube at 8, icosahedron at 32, torus at 512); (8) the internal nuclear geometry of carbon-12 (triangular alpha clusters) and oxygen-16 (tetrahedral alpha clusters), verified in Physical Review and Nature Communications; (9) a scale calculation showing that the human ovum occupies the exact logarithmic center between the Planck length and the observable universe; (10) quasicrystals with icosahedral symmetry as experimental instantiation of the ‘forbidden’ geometry of the dodecahedron, 2011 Nobel Prize in Chemistry; (11) viruses with icosahedral capsids as the optimal form of water/life; (12) the 46 human chromosomes coinciding with the sum of vertices in the Moon model; (13) the navel dividing the body in golden ratio φ; (14) the cardiac pulse tending toward φ in healthy subjects; and (15) the Big Bang / conception parallel as the same geometric pattern at two scales. The work includes falsifiability analysis, probabilistic estimation, explicit distinction of confidence levels, and a philosophical framework under Ontic Structural Realism. The implications for natural theology in the Catholic tradition of Augustine, Aquinas, and Kepler are also examined.
Mariano Francisco Diaz Stefani (Tue,) studied this question.