Book Project

[cKleinhuis]

I have started to write a book about the search of the mandelbulb,
i do not want to take credit for it alone, but i would like to be the editor of a book describing the search for, and history,
anyone interested in joining contact me, right now i am creating a basic structure like:

- introduction
-- deterministic chaos
--- the logistic function
--- ...
-- the mandelbrot
-- ...
-- variants
--- alternating a formula
-- ...
- Theory
-- Complex Numbers
-- Quaternions
- the search for and quest for 3d mandelbrot
-- Why ?
-- polar coordinates
-- spherical coordinates
- implementation details
-- ray marching methods
-- distance estimation
--- ...
--- gpu implementations
--- volume rendering
--- global illumination methods
--- ...
- outlook
-- surface extraction
-- benchmarking
-- ...

this is just a rough outline, and is open for discussion, first we should discuss about the structure of the book,
and then after a structure is layed out, selected people could start to write, i would like to take care for introduction
and outlook sections, for sure the book wil be filled with lots of images, but it should be as a start for people
who are interested in programming fractals, and so it should also contain lots of *easy* source code

 

[David Makin]

You can count me in - at least I can do a section on the "delta DE" method - in particular the algorithm that uses an array for storing the minimum distances on a given ray for each iteration to avoid over-stepping as that's not only necessary in delta DE but also useful in avoiding over-steppiing using analytical DE in Julia renders. Plus the "missed solid" checking that can enhance delta DE at less cost than reducing step sizes. Also I would refer to the "auto-power" correction method for iteration smoothing
Someone more mathematically qualified would be better regarding a description of analytical DE and its implimentation

[David Makin]

The mahs section should include a description of multiplication since Jos Leys' method for calculation of the derivative uses it.
The mathematical properties should be discussed too - i.e. (I think I'm correct) commutative but not associative (neither multiplication over multiplication nor multiplication over addition).

[cbuchner1]

I have started to write a book about the search of the mandelbulb,

Well it was more like a search for a 3D Mandelbrot in which the Mandelbulb was discovered by accident
And the search continues...

[David Makin]

I have started to write a book about the search of the mandelbulb,

Well it was more like a search for a 3D Mandelbrot in which the Mandelbulb was discovered by accident
And the search continues...

"The discovery of the Mandelbulb" would be better

[Paolo Bonzini]

You could place the skeleton on Wikibooks or something like that. I can help with parts of the theory.