Platonic solids are considered sacred insofar as Plato (Πλάτων) was the 605th Living Sraosha (Spiritual) Master of the time. His study of geometry produced the regular five solids of a tetrahedron (four-sided figure), hexahedron (cube or six-sided figure), octahedron (eight-sided), dodecahedron (twelve-sided), and the icosahedron (twenty-sided). A regular polygon is a polygon which is equiangular (all angles are congruent) and equilateral (all sides have the same length). The further discussion of "sacred" means that geometry is not a material or manifest teaching for no exact geometric figure exists on the physical plane. Geometry is strictly a mental exercise wherein the exact figures can be measured individually mathematic, but cannot be manifest physically. Hence, the study of calculus only is approximate whilst no exact figure in math can be measured collectively only individually exact. Therefore, the theory of relativity was known long before Einstein, Ehrenfest, or Bohr ever discussed it. In other words, the random deflection of light was to have proved individuality. However, collectivization cannot be proven mathematically and unnecessary insofar as compromise is a certainty in uncertainty.
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Euclidean geometry, non euclidean geometry. Plane geometry. Three dimensional geometry to name but a few
There are different kinds of geometry including elementary geometry, Euclidean geometry, and Elliptic Geometry.
Archimedes - Euclidean geometry Pierre Ossian Bonnet - differential geometry Brahmagupta - Euclidean geometry, cyclic quadrilaterals Raoul Bricard - descriptive geometry Henri Brocard - Brocard points.. Giovanni Ceva - Euclidean geometry Shiing-Shen Chern - differential geometry René Descartes - invented the methodology analytic geometry Joseph Diaz Gergonne - projective geometry; Gergonne point Girard Desargues - projective geometry; Desargues' theorem Eratosthenes - Euclidean geometry Euclid - Elements, Euclidean geometry Leonhard Euler - Euler's Law Katyayana - Euclidean geometry Nikolai Ivanovich Lobachevsky - non-Euclidean geometry Omar Khayyam - algebraic geometry, conic sections Blaise Pascal - projective geometry Pappus of Alexandria - Euclidean geometry, projective geometry Pythagoras - Euclidean geometry Bernhard Riemann - non-Euclidean geometry Giovanni Gerolamo Saccheri - non-Euclidean geometry Oswald Veblen - projective geometry, differential geometry
Geometry that is not on a plane, like spherical geometry
Plane Geometry and Solid Geometry