Conic transformation

In conic transformation the basic elements of a subject defined in a Cartesian field are broken down and rearranged in a conic section polar field. Here the old barn at Lanyon is transformed using a family of cofocal ellipses defined by the mathematical equation:

x²/[69+20(n-1)]²+ y²/[8+20(n-1)]²= 1

The elliptical transformation has an introverted feel combined with a sense of tranquil movement.

A different feel is produced by an hyperbolic transformation as shown above where the old barn at Lanyon is transformed using a family of hyperbolae based on the mathematical equation:

x²/225 - y²/1633 = 1

Here a sense of expansion and rapid outward movement is achieved.