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x(n+1) = y(n) - sign(x(n)) * sqrt(abs(b*x(n)-c)) y(n+1) = 1- x(n) where b, and c are parameters and sign(x(n)) returns 1 if the argument is positive, -1 otherwise. |
| The Controls | |
| Run | Starts iterating and drawing. |
| New Colors | This button generates a new pseudorandom color-LUT |
| DotSize | provides for selection of the dot size to be used for painting. Range is from 1..5. |
| Randomize b, Randomize c | These controls can be used to manipulate the parameters c and b. When clicked, new random values for the parameters b resp. c, are generated |
| Range b, Range c | These edit fields can be used to set the range of the random values for parameters b and c. The input must be in -100 ... 100. Example: If Range is set to 5, then the resulting random numbers will range from -5 ... +5 |
| Offset b, Offset c | These edit fields allow to define an offset which is added to the
randomly generated parameters b and c. The input must be in -500 ... 500. Example : If Range is 5 and Offset is 50 then the resulting values for b resp. c will range from 45 ... 55 |
| Scale | This selector defines a scaling factor for the generated pictures. |
| Type | This selector allows to chose from the 6 possible formulas used for iteration |
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1. x(n+1) = y(n) - sign(x(n)) * sqrt(abs((b * x(n)) - c )) 2. x(n+1) = y(n) + sign(x(n)) * sqrt(abs((b * x(n)) - c )) 3. x(n+1) = y(n) + sign(x(n)) * sqrt(abs((b * x(n) * x(n)) + c )) 4. x(n+1) = y(n) - sign(x(n)) * (abs((b * x(n)) - c )) 5. x(n+1) = y(n) - (sign(x(n)) * cos(abs((b * x(n)) - c ))) 6. x(n+1) = y(n) - (sign(x(n)) * log(abs((b * x(n)) - c ))) y(n) = 1.0 - x(n) ( for all types ) |
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If no dots are painted, select dotsize > 1 !! |
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England and has been published in the Scientific American's column "Computer Recreations" by A. K. Dewdney. |