Cone, Sphere & Cylinder: The Volumetric Trinity

Cone + Sphere = Cylinder for equal radius and height. Ratios 1/3 : 2/3 : 1 are exactly the quark charge ratios. Cone = d operator = down quark (‒1/3). Sphere = u operator = up quark (+2/3). Cylinder = u² = complete baryon (d·u²). Archimedes greatest discovery. Orientation independence: double-cone = two cones = one cone, same volume regardless of arrangement (Feynman diagrams can be freely rotated). Cubic-circular bridge: cube × π/4 = inscribed cylinder. Complete ratio table: pyramid = 1/3 cube, cylinder = π/4 cube, cone = π/12 cube, sphere = π/6 cube. π/4 is the quantum of irrationality per unit volume — the conversion between discrete (cubic/rational) and continuous (circular/π). Proton = uud = 2(2/3)+1(‒1/3) = +1. Neutron = udd = 1(2/3)+2(‒1/3) = 0.

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