William Stein wrote:
Hi,
A student of mine is going to add to sage the capability of plotting
lots and lots of fractals easily. E.g.,
sage: fractals.[tab]
lots of stuff
sage: fractals.julia([params]).show(figsize=10)
[up pops a julia set]
The trac ticket where this starts is here:
http://trac.sagemath.org/sage_trac/ticket/8423
This isn't going to be some complicated fancy object oriented
abstract dynamical metaclassed framework. It's just a bunch of
functions to draw fractals. And at first it could even be slow
(though obviously some cython master will probably clear through it at
some point and make everything really fast, without having to change
or write any docs). I can imagine that most of the files will consist
of examples and docstrings rather than actual code, too.
The point of this email: if you like plotting fractals, and have some
potentially useful code to contribute, then please post to this thread
or http://trac.sagemath.org/sage_trac/ticket/8423 with them. Or if
you really want to help, then do so.
-- William
Those sorts of images could be good for your calender.
I recall many years ago programming the 80387 maths coprocessor chip at the
assembly level to generate the fastest Mandlebrot set I could. If I recall
correctly, it ran at 25 MHz, which I think was the fastest any 80386/80376 chip
run at.
There is the open-source 'fractint' program which does the same sort of thing,
but in integer maths, which is obviously quicker, though the floating point
processors now are a lot better than they used to be. I recall computing tables
of sin() and cos() for Monte Carlo simulations, then using a lookup rather than
compute the sines and cosines each time, as it was too slow. Now, you are better
to just call sin or cos in an FPU, rather than look them up in a table.
I'm giving my age away a bit here!
Dave
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