## mandelbrot 10:39

# syntax

* `fraqtive`
* type *julia*
* parameters *x=0.5 y=0.5*
* variant *Absolute Im*
* exponent *real=3.2*
* formula *Z(n+1)=_Z(n)^2.5+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*

sources:

man fraqtive(1)

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #matrix #technology #OpenSource

mandelbrot 16:18

syntax

• fraqtive
• type julia
• parameters x=0.6232 y=0.93748
• variant conjugate
• exponent real=2.50
• formula Z(n+1)=_Z(n)2.5+C
• generation 2D

definitions:

The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/)[1][2] is a two-dimensional set that is defined in the complex plane as the complex numbers c {\displaystyle c} for which the function f c ( z ) = z 2 + c {\displaystyle f_{c}(z)=z{2}+c} does not diverge to infinity when iterated starting at z = 0 {\displaystyle z=0}, i.e., for which the sequence f c ( 0 ) {\displaystyle f_{c}(0)}, f c ( f c ( 0 ) ) {\displaystyle f_{c}(f_{c}(0))}, etc., remains bounded in absolute value.[3]

sources:

man fraqtive(1)

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #programming #advanced #mathematics #Lineair #Algebra #complex #numbers #matrix #technology #mandelbrot #fractals #OpenSource