#mandelbrot — Public Fediverse posts on home.social

* `nice -19 fraqtive &`
* type *julia*
* variant *absolute*
* parameters *x 0.31 y 0.9*
* exponent *real=3.03*
* zoom *10^-0.35*
* rotation *40.0 deg*
* formula *Z(n+1)=(|ReZ(n)+i|Im(Zn|)^3.03+C*
* control G
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a whopping 19042 ms

## Julia Mandelbrot

sources:

man fraqtive(1)

man ls(1)

man thunar(1)

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

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

#mathematics #math #CPU #coprocessor #programming #mandelbrot #julia #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

#mathematics #math #cpu #coprocessor #programming #mandelbrot

Radio_Azureus @[email protected] · 2026-09-01 · 08:19 UTC

RE: https://wehavecookies.social/@amiga/117194784671256369

MD Formatted

mandelbrot 05:05

syntax

nice -19 fraqtive &
type julia
variant normal
parameters x 0.4 y 0.6
exponent real=2.79
zoom 10-0.35
rotation 50.0 deg
formula Z(n+1)=Z(n)2.79+C
control G
generation 2D
Resolution Width 2560 Height 1080
Anti Aliasing Medium
Multisampling 4x4
Calculation time a whopping 19042 ms

Julia Mandelbrot

sources:

man fraqtive(1)

man ls(1)

man thunar(1)

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

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

#mathematics #math #CPU #coprocessor #programming #mandelbrot #julia #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

#mathematics #math #cpu #coprocessor #programming #mandelbrot

Amiga @[email protected] · 2026-09-01 · 08:14 UTC

## mandelbrot 05:05

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *normal*
* parameters *x 0.4 y 0.6*
* exponent *real=2.79*
* zoom *10^-0.35*
* rotation *50.0 deg*
* formula *Z(n+1)=Z(n)^2.79+C*
* control G
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a whopping 19042 ms

## Julia Mandelbrot

sources:

man fraqtive(1)

man ls(1)

man thunar(1)

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

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

#mathematics #math #CPU #coprocessor #programming #mandelbrot #julia #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

#mathematics #math #cpu #coprocessor #programming #mandelbrot

Phracker @[email protected] · 2026-08-29 · 02:06 UTC

Cosmic Pulse

Made by generating a Mandelbrot set and then mapping it to a Julia set in GIMP.

#Fractal #Fractals #FractalArt #Abstract #AbstractArt #Math #Maths #MathArt #MathsArt #Geometry #Geometric #GeometricArt #Mandelbrot #Complexity #ASCII #ANSI #Space #GIMP #Digital #DigitalArt #Art #Artwork #MastoArt #ArtistOnMastodon

#fractal #fractals #fractalart #abstract #abstractart #math

Charlotte Aten @[email protected] · 2026-08-19 · 18:09 UTC

But wait, there's more! I also wrote a C++ program and Lua scripts to help you make animations of these higher-dimensional fractals. You can find these at https://codeberg.org/caten/RealAlgebraPlot

Not only can you see animations of the rock-paper-scissors fractal of central interest in my paper, you can also take slices of even higher-dimensional fractals coming from other real algebras, such as the octonions.

I wrote everything here from scratch as much as possible, so it has basically zero dependencies. I even opted to use Netpbm (https://en.wikipedia.org/wiki/Netpbm) so that I'd have an easy time writing image files directly without using a library. I am using #GraphicsMagick to produce animations. The same utility can be used to convert the output image files to a more familiar format like png.

#math #mathematics #algebra #analysis #ComplexAnalysis #fractals #Mandelbrot #MandelbrotSet #UniversalAlgebra #octonions #quaternions #cpp #Lua #LuaLang

(2/3)

#lualang #lua #cpp #quaternions #octonions #universalalgebra

Amiga @[email protected] · 2026-08-07 · 10:00 UTC

## mandelbrot 06:48

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *amsolute IM*
* parameters *x 0.2 y 0.7*
* exponent *real=3.01*
* zoom *10^-0.25*
* rotation *60.0 deg*
* formula *Z(n+1)=(Re(Z(n))+i|Im(Zn)|)^3.01+C*
* control G
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a whopping 42000 ms

## Julia Mandelbrot

sources:

man fraqtive(1)

man ls(1)

man thunar(1)

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

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

#mathematics #math #CPU #coprocessor #programming #mandelbrot #julia #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

#mathematics #math #cpu #coprocessor #programming #mandelbrot

Amiga @[email protected] · 2026-06-28 · 11:34 UTC

## mandelbrot 08:28

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *conjugate*
* parameters *x 0.4 y 0.5*
* exponent *real=3.02*
* zoom *10^-0.35*
* rotation *17.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few 1000 ms

## Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

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

#mathematics #math #CPU #coprocessor #programming #mandelbrot #julia #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

#mathematics #math #cpu #coprocessor #programming #mandelbrot

Amiga @[email protected] · 2026-06-28 · 10:21 UTC

## mandelbrot 06:46

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *absolute Im.*
* parameters *x 0.5 y 0.53*
* exponent *real=3.12*
* zoom *10^-0.35*
* rotation *53.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few ms

## Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

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

#mathematics #math #CPU #coprocessor #programming #mandelbrot #julia #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

#mathematics #math #cpu #coprocessor #programming #mandelbrot

Amiga @[email protected] · 2026-06-23 · 05:27 UTC

## mandelbrot 02:17

# syntax

* `fraqtive`
* type *julia*
* parameters *x=0.6 y=0.7*
* variant *real*
* exponent *real=3.30*
* formula *Z(n+1)=_Z(n)^3.3+C*
* zoom *10^-0.35*
* rotation *15.0 deg*
* 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 #no #TV

#mathematics #programming #mandelbrot #fractals #advanced #lineair

Radio_Azureus @[email protected] · 2026-06-08 · 13:32 UTC

mandelbrot 10:06

md formatted

syntax

nice -19 fraqtive &
type julia
variant absolute Im.
parameters x 0.62 y 0.5
exponent real=2.91
formula Z(n+1)=(ReZ(n)+I|Im(Zn)|)2.91+C
zoom 10-0.35
rotation 46.0 deg
generation 2D
Resolution Width 2560 Height 1080
Anti Aliasing Medium
Multisampling 4x4
Calculation time a few s

Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

Advanced fractal mathematics by Gerold van Dijk

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

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

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

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

https://en.wikipedia.org/wiki/File:Self-Similarity-Zoom.gif

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

@amiga

#mathematics #math #coprocessor #programming #mandelbrot #fractals

Amiga @[email protected] · 2026-06-08 · 13:27 UTC

## mandelbrot 10:06

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *absolute Im.*
* parameters *x 0.62 y 0.5*
* exponent *real=2.91*
* formula *Z(n+1)=(ReZ(n)+I|Im(Zn)|)2.91+C*
* zoom *10^-0.35*
* rotation *46.0 deg*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few s

## Julia Mandelbrot

sources:

`man fraqtive(1)`

`man thunar(1)`

**Advanced fractal mathematics** by *Gerold van Dijk*

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

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

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

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

https://en.wikipedia.org/wiki/File:Self-Similarity-Zoom.gif

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

#mathematics #math #coprocessor #programming #mandelbrot #fractals

Amiga @[email protected] · 2026-05-27 · 19:43 UTC

## mandelbrot 16:29

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *conjugate*
* parameters *x 0.4 y 0.5*
* exponent *real=2.91*
* zoom *10^-0.45*
* rotation *10.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few s

## Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

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

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

#mathematics #math #coprocessor #programming #mandelbrot #fractals

Amiga @[email protected] · 2026-05-26 · 07:31 UTC

## mandelbrot 04:19

# syntax

* `nice -19 fraqtive &`
* type *mandelbrot*
* variant *absolute Im.*
* parameters *x 0.51 y 0.53*
* exponent *real=3.11*
* zoom *10^-0.45*
* rotation *20.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few ms

## Standard Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

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

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

#mathematics #math #coprocessor #programming #mandelbrot #fractals

Amiga @[email protected] · 2026-05-26 · 02:52 UTC

## mandelbrot 23:28

# syntax

* `fraqtive`
* type *mandelbrot*
* parameters *nvt*
* variant *real*
* exponent *real=2.61*
* formula *Z(n+1)=_Z(n)^2+C*
* zoom *10^-0.35*
* rotation *100.0 deg*
* 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

#mathematics #programming #mandelbrot #fractals #advanced #lineair

Amiga @[email protected] · 2026-05-16 · 16:01 UTC

## mandelbrot 12:48

# syntax

* `nice -19 fraqtive &`
* type *mandelbrot*
* variant *normal*
* exponent *real=2.11*
* zoom *10^-0.35*
* rotation *155.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time 14248ms

## Standard Mandelbrot

sources:

**Advanced fractal mathematics** by *Gerold van Dijk*
* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

man fraqtive(1)

man thunar(1)

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

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#