on the summation of a series of incrementing orders of a base function the series function is defined on a rotational coordinate system such as polar coordinates system in two dimensions or spherical coordinates system in three dimensions thus the model provides the shape of a crystalline lens by defining the radial distance rho from the central origin point of the coordinate system fig2 to a given point on the lens surface as measured along any given azimuthal direction angle theta fig2 shows the polar coordinate system of the series function method fig2 like fig4 shows a polar grid with units of radius of curvature indicated from 1 to 5 the equatorial axis of the lens is parallel to the theta u03c0 2 radian 90 u00b0 axis and the optical axis is parallel to the theta 0 radian 0 u00b0 axis positions on the lens surface are represented as coordinate pairs defining theta angle of median and radius distance from central origin to surface point lens surface points measured from one crystalline lens are shown in the thick line while the same lens described using a series function of the present invention is shown as the thin line the entire lens shape is thus described as a set.