## Archive for the ‘orbit fractal’ Tag Four Pale Lights

An orbit plotted fractal based on one of the formulae developed by Clifford A. Pickover commonly called Pickover Popcorn. Available as a print, poster or card from Redbubble and Artflakes.

Posted 1 November 2012 by in Art, Fractal Repeating Patterns 3

Available as a print, poster or card from Red Bubble.

Posted 10 August 2012 by in Art, Fractal

When plotting orbit fractals some means of colouring the points is required. One method of determining a colour is to use the “square root” method, the colour is determined as follows:

`value = trunc(n*(sqrt(hits)/sqrt(max_hits)))`

Where

• sqrt is the square root function.
• hits is the number of times a point has been visited by an orbit.
• max_hits is the maximum number of visits a point in the picture has been visited by an orbit.
• n is an arbitrary scaling factor.
• trunc strips the fraction part of the number leaving an integer.

The value obtained from this formula is used to select a colour from an array of colours, the index to the array is found by adding a user defined offset to the value and using the remainder of its division by the number of colours in the array.

The problem with this method is that as the fractal is explored the maximum number of hits in any given picture is likely to be different to any other given picture thus altering the colours. This problem also affects the expansion of the image by Titan, the seed file in the following examples has dimensions of 750×500 points, the expansions have 6000×4000 points and 12000×8000 points and have been scaled down to 1200×800 for this post using GIMP. 6000×4000 12000×8000

Clearly there has been a shift in the colours used and neither match the colours in the Saturn seed file. I don’t mind about the colour changes that occur while exploring orbit fractals but I do mind about the colour changes that occur as the result of expanding the image. I have an idea of how to solve the colour change due expansion and if it works it will be incorporated into version 2.0 of Saturn & Titan.

Posted 22 February 2012 by in Fractal, Software

Tagged with , , ,