For many years there has been a rumour of a calculator program which drew the Mandelbrot Set on a graphical calculator. Well here it is! This is a very slow program to run (40mins), so if you want to run it buy yourself some Duracell batteries and start waiting!
ViewWindow -2,.8,5,-1,1,5¿
For -1.7®X To .5 Step .05¿
For -1®Y To 1 Step .05¿
0®A¿
0®B¿
For 1®N To 25¿
A²-B²+X®C¿
2A×B+Y®B¿
C®A¿
If A²+B²>4¿
Then 26®N¿
IfEnd¿
Next¿
If N=25¿
Then Plot X,Y¿
IfEnd¿
Next¿
Next¿
This program is written for the 7400G Casio calculators, on which is works best. It will work on a 9850G / 9750G calculator, however the effect is not so great. There is an alternative program, written for the 9750G / 9850G calculators, which takes advantage of the larger screen and the complex number function to run faster and produce a better picture:
(This one ONLY works on the 9750G / 9850G calculators)
ViewWindow -3,1.5,5,-1,1,5¿ For -1.5®X To .5 Step .03¿ For -1®Y To 1 Step .02¿ 0®Z¿ X+Y×i®C¿ For 1®N To 25¿ Z×Z+C®Z¿ If Abs(Z)>2¿ Then 26®N¿ IfEnd¿ Next¿ If N=25¿ Then Plot X,Y¿ IfEnd¿ Next¿ Next¿
