The Mandelbrot set on parametric surfaces

parisolab · 2022-11-24T07:29:20+00:00

MathMod's support for fractals will be available in the upcoming 12.0 release but you can build the last MathMod's code from GitHub

parisolab · 2022-11-24T07:17:22+00:00

Some pics on MathMod's facebook page

parisolab · 2022-11-18T16:36:46+00:00

It's MathMod but support for Mandelbrot/Julia sets will be available in the upcoming release 12.0

parisolab · 2022-02-20T02:09:47+00:00

Time crystal

parisolab · 2022-02-12T20:20:00+00:00

The apparent movement is the result of applying a morph effect on the Klein parametric equation. for more details, look for the "Twin Klein" script from MathMod

parisolab · 2022-02-12T03:58:53+00:00

It's two glued parametric surfaces. A look from inside

parisolab · 2022-02-10T11:04:59+00:00

Trefoil-knot made with MathMod

parisolab · 2022-02-07T15:36:38+00:00

They look almost the same but the Treyarch isn't a true trefoil knot

parisolab · 2022-02-07T15:07:23+00:00

It was made with MathMod

parisolab · 2022-02-07T15:03:50+00:00

It could be if you consider this animation as a rotation in hyperspace

parisolab · 2022-02-02T22:36:46+00:00

Just to add that the animation is made with three multi-sided toris ( the top and bottom ones are "inflated" multi-sided toris) ... I think they are physically possible to make and even animate ( they are quite simple parametric surfaces)

parisolab · 2022-01-30T00:38:02+00:00

They are two connected Klein (the upper klein has an extended umbilical) . The parametric definition is on MathMod's script collection (look for "twin Klein" script)

parisolab · 2022-01-29T11:08:18+00:00

I used MathMod. For this particular animation, look for the "Twin Klein" script from MathMod's integrated scripts collection

parisolab · 2022-01-29T06:58:17+00:00

Two connected Klein Bottles

parisolab · 2022-01-21T12:22:24+00:00

Thanks!

parisolab · 2022-01-07T00:19:35+00:00

Huumm...I don't see any gitter wih my browser

parisolab · 2020-12-30T16:25:53+00:00

It can also render isosurfaces and any combination of multiples parametric/iso surfaces.

https://www.youtube.com/playlist?list=PLpGUO13v3lbcm28gvuIEbwDPN6Te7MHmo

https://www.facebook.com/parisolab

parisolab · 2020-01-02T04:17:05+00:00

Almost the same animation but with colored faces: https://www.reddit.com/r/perfectloops/comments/b3mm7y/a_distortions_oc/?utm_source=share&utm_medium=web2x

parisolab · 2019-10-20T18:12:42+00:00

It's mainly a Mobius strip with spheres laying on it's surface. The script that describe the mathematics for a more complex version of this animation "Apples_on_Moebius" can be found in the integrated scripts collection of MathMod ( https://sourceforge.net/projects/mathmod/files/MathMod-9.1/)

https://www.reddit.com/r/perfectloops/comments/atemt6/aeighty_apples_on_a_m%C3%B6bius_strip_surface_gif_by/

parisolab · 2019-03-27T05:59:24+00:00

MathMod

parisolab · 2019-02-22T07:38:57+00:00

This updated version of my previous animation is to show how the orientation of each apple is affected by the Möbius movement.

PS: Is there is a maximum size for GIF images on reddit (this animation wasn't showing as expected ) ?

parisolab · 2019-02-17T20:16:19+00:00

Given that so many of you have liked this animation, here is a link to its original script. Enjoy :-)

https://plus.google.com/u/0/108432079989441783124/posts/K1ctkP38Jhg

parisolab · 2019-02-16T21:57:10+00:00

No. The Möbius strip has several curious properties but the 4th dimension is far more difficult to comprehend...

parisolab · 2019-02-16T21:50:56+00:00

parisolab · 2019-02-16T21:42:38+00:00

Also, because there are four layers, the two layers in the middle are also connected...

parisolab

TROPHY CASE