MindFlowers
# MindFlowers

The designs I call MindFlowers are specially constructed using multi-dimensional functions in polar co-ordinates. The process of construction can be visualized as a moving band which varies in position, color, and width in a symmetrical pattern around a common center. Each locus of the band might be designated *B,* where *B = (p, d, c) w*here *p i*s the position of the center of the band, *d *is its diameter, and *c * is its color. *p,* of course, is a two-dimensional point in polar co-ordinates, *(r, *~~O~~). In effect we have four variables, *r, *~~O~~, d, and *c,* of which *c* is a three-dimensional color vector, *(red, green, blue).* Each of the four variables is a function of a single parameter *t * which can be thought of as an iteration of time. Thus we would have *r = f*_{1}(t), ~~O~~ = f_{2}(t), and so on.
The difficulty lies in designing the functions; the process requires a lot of trial and error. As an example, MindFlower #1 has r *= 0.03 (sin(4(Pi)t) + 1) * and ~~O~~ = 0.3 + 0.34 (Sin(2(Pi)t) + 1).

Each design is then repeated at certain intervals in a radial symmetry, to make a design with identical radial parts.

**MindFlowers**

Last Updated June 9th, 2002

Web Page by Ned May

URL http://chromatism.net/chromat/mindfls.htm

All images and text are ©2017 by Edward S. May unless otherwise noted. All rights reserved.