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London Dentist Uncovers Equilateral Triangle in Da Vinci’s Vitruvian Man

Published in the Journal of Mathematics and the Arts, the work shows that Leonardo wove a modern dental anatomy concept into his proportion schema centuries before its formal discovery.

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Overview

  • Dr. Rory Mac Sweeney’s analysis reveals an equilateral triangle embedded between the figure’s legs in the 1490 drawing.
  • The shape matches Bonwill’s triangle, a 19th-century dental construct defining optimal jaw mechanics.
  • Using the triangle yields a 1.64 ratio between the square’s side and the circle’s radius, aligning with measurements of the original work.
  • That ratio closely echoes the tetrahedral constant of 1.633 found in nature’s most efficient crystal structures and sphere packings.
  • Published July 2 in the Journal of Mathematics and the Arts, the study implies Leonardo anticipated modern principles of geometric and anatomical design.