Contact Jim on 01226 763124  or   milner44@btinternet.com
Why and how? News
Home Geometric gallery Maquettes Fractal gallery Maths gallery Figurative gallery Delivery and Installation



The Golden Section Spiral Fractal - 2014.


Golden section spiral fractal engraved and painted sandstone

60cm x 66cm. Engraved and painted sandstone. 2014




The limits of this sixth generation fractal, based on the golden section spiral, are a golden section rectangle.

The length of the perimeter of the fractal would be infinite if an infinite number of generations were drawn.

However, the infinite fractal would have a finite area.



Golden section spiral fractal diagram


The area of the circle and the area of the white part of the fractal are equal. Golden section spiral fractal equation 1
The sum of the blue areas of the fractal equals the sum of the blue areas of the square, Golden section spiral fractal equation 2




© JIM MILNER 2018 • milner44@btinternet.com • 01226 763124