522 views 23rd March 2014
269 views 23rd September 2013
103 views 16th July 2012
Formula: “Pickover Popcorn 3”
x = x – h*sin(y + cos(a*y))
y = y – h*sin(x + cos(b*x))
x,y are the starting co-ordinates of the orbit each
iteration produces a new orbit location.
h = 0.05
a = 3
b = 3
Programs: saturn and titan
Image centre: x = 1.49867, y = 0.517337
Image long side: 6.48533
Calculation long side: 19.456
Orbit length: 150
Colour method: average, interval 40000
The interval determines the colour applied to a point.
The orbit length is the number of iterations applied to a
point. The first colour used is the first colour in the colour
map, a counter is incremented for each iteration and when the
interval value is reached the count is reset to zero and the
next colour in the map is used.
Colour values are accumulated every time a point is visited
by an orbit, the colour used for the final image is the accumulated
colour divided by the number of visits or black if a point has had no visits.