Nekar Xenos <j-p### [at] citywalkcoza> wrote:
: I understand the basics of Mandelbrot and did  understand Julia sets (forgotten
: partly but I know there' a Julia set for every point on a Mandelbrot ).

  Not exactly. "There's a Julia set for each complex number" is the correct
terminology.

: But I
: don't quite understand where all the info comes for the fourth dimension of the
: 4d Julia

  The regular Julia set uses complex numbers, which are numbers with two
components. That is, it is a set of complex numbers.
  A 4D Julia set uses either quaternion of hypercomplex numbers. These are
numbers with four components.
  The formula is the same as with the regular Julia, but using quaternion
or hypercomplex numbers. The difference between these two is how their
product is calculated (the product of two numbers is well defined only
up to complex numbers but not to numbers with higher dimensions).

-- 
#macro N(D,I)#if(I<6)cylinder{M()#local D[I]=div(D[I],104);M().5,2pigment{
rgb M()}}N(D,(D[I]>99?I:I+1))#end#end#macro M()<mod(D[I],13)-6,mod(div(D[I
],13),8)-3,10>#end blob{N(array[6]{11117333955,
7382340,3358,3900569407,970,4254934330},0)}//                     - Warp -

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