Cyclical Dimensions Of Geometry & Matinga's Integral Rule

Cyclical Dimensions Of Geometry

Volume [ cycle, d] = Pi rad * d ^ (n - 1)

= Perimeter (circle) [d] , Circumference [d]

Volume [ cycle, 2 ] = Pi rad * d

Volume [ cycle, 3] = Pi rad * d ^ 2

Compare the last result wi the the traditional and uncertain ( 4 * Pi * r ^ 3 ) / 3

Volume is the more universal term than Area. It should be the SI standard for all cyclical event dimensions.

Matinga's Integral Rule Of Functions

Further investigation leads to the conclusion that every mathematical curve's amplitude, is equivalent to the next natural, higher dimension of the variable, calculated by as the contiguous series of vertical heights giving rise to the amplitude. In simplicity, that measure is represented by the area under the curve, maximum f (a), the integral, rather than the infinitesimally thin, function curve f (x).

© Xerqon Pty Ltd 2025 first publication, 'Cyclical Dimensions Of Geometry'

© Sydney Matinga 2026