Last night Dr. J tried playing it safe, using virtual reality games to explore new fractal formula. He hoped this would be less costly than using his expansive laboratory equipment. Last we saw a very large monster was closing in on Dr. J from the right, however he was angling off to the left, his body bent in an painful distortion.
As his computer screen showed the game dissolving into a disconnected Julia set with scattered patterns which I just received on the FractoFax. It looks like Dr. J lost the game. A connected Julia set would show that he won. He says he may try the game again.
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Figure 1. Dr. J Looses Game with the Monster.
A little math. Paul Derbyshire offered a Mandelbrot set form of the following iteration formula.
1) z := ez+c(z+2)-2
Last night we saw how to create a Mandelbrot set for this formula. Tonight we look at the corresponding Julia set.
Stay healthy,
Jay
Explode_J_2j { ; by Jay Hill, 1998
; after Paul Derbyshire
c=P1 ; p1 is the Julia parameter
z=pixel
: ; Derbyshire's formula
z=exp(z)+c/sqr(z+2),
real(z)<=900000
}
PuzzleJ { ; by Jay Hill, 1998
; based Paul Derbyshire formula
reset=1960 type=formula formulafile=explode.frm
formulaname=explode_j_2j center-mag=0.318111/1.33723/1 params=0/0
float=y maxiter=2700 inside=0 periodicity=0
colors=0000AM0UK0BQ0UE0DU0U70EY0U00G\
a0UK0He0mU0Ji0mK0cmww0cKApk0fK9hZ0iK\
7aN0lK6UA0oK4aOHrK3jaYuK1ronwww000<222>000
savename=PuzzleJ
}
