MMFrac version 2.4 now includes an optional iterative transformation
to be applied before the basic formula for all the 2D Mandlebrot
and Julia types. The maximum bigscreen size has been extended to
allow images up to 8000*6000.
MMFrac version 2.3 featured Bump lighting for all its 2D
Mandelbrot/Julia formulas. The bump lighting works for fractals
with point convergence such as the polynomial Newton and Nova types
as well as for the standard divergent fractals.
MMFrac version 2.2 featured 10 new 2D fractal types, 16 new 3D
fractal types including the corrected hypercomplex ones and now
has new 3D sphere or planar surface modes with bump mapping.
Plus there is now a pseudo-parallel perspective mode for the 3D
fractals allowing mouse-zooming including box-magnify.
New in version MMFrac version 2.1 was Phong shading for
all the solid 3D fractals, including direct-colour rendering.
MMFrac allows saving of palettes to parameter files,
"bigscreen" rendering (now up to 8000*6000) and has a large set
of "orbit trap" colouring modes for 2D Mandelbrot or Julia images.
The Solid 3D fractal mode features
QUATERNION and HYPERCOMPLEX fractals and is
40% faster than version 1.8.
For those of you interested the programming is 99.99% assembly language
because assembler is my "native" computer language - I first learnt
assembler on an old Dragon 32 (the UK's version of the Tandy CoCo).
I fear for the time when there is no assembly language programming
left in the world !
The image below links to an example of "Mandelbrot to Julia morphing"
created from frames produced by the program using (2D) morphing.

You can fly around your images, converted to 3d,
but the primary aim of the flying is to be able to
fly around virtual landscapes, rather than around
versions of your normal 2D fractal images.
It is possible however, just not exactly "perfect", as in the
examples below (my apologies for the palettes).

Here is a "quick example" gallery showing images produced
using some of the colouring modes available in MMFrac
(and in most other fractal software).
The MMFrac parameters for these images are available from
the download page.

Standard Gallery

MMFrac entire Gallery

Main Gallery

November 1999

"New" Gallery

V1.2 images

"Old" images

A bit of Maths

Silly Jokes

www.fortunecity.com

I might add proper algorithm and programming pages sometime (for ASSEMBLER ONLY).
In the meantime here's a quick mathematics algorithm (tersely explained !)

ALGORITHM FOR PRIME NUMBER GENERATION IN MACHINE CODE:-
A register is used to represent the "prime status" of the next 32 odd numbers
starting with 3 (bit 0). Then for each prime already found (if any yet) the appropriate
bit/bits are set in this register to signify that the value represented by that bit is
divisible by something ie. it isn't prime, Once this has been done for all the primes
found so far, the bits are checked to see if the values represented are still prime. If
so they are added to the list with any necessary bits being set in the register. Along
with the prime numbers themselves a countdown to their next multiplicand?? position is stored.

I apologise for the current lack of any algorithm or maths relating
directly to fractal creation (in assembly language) but I might add
a proper algorithms page in future.
The mathematics page may also be improved.
For now you'll just have to settle for the visual art available
as pictures and my programs rather than true mathematical art.

My interests:
Comedy
Computers/Technology
Computer art
Maths
assembly language
programming
Fantasy/Role Playing
Food/Drink
Movies/TV
Music: Blues
Music: Classical and Opera
Music: Rock and Pop
PC Games
Paranormal
Science Fact and Fiction

Email Dave at:
[email protected]