Logo by Pauldelbrot - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Support us via Flattr FLATTR Link
 
*
Welcome, Guest. Please login or register. July 07, 2020, 03:36:20 PM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


Pages: [1]   Go Down
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: Fit Earth into a Globus on Your Desk - C1 fractal Sphere  (Read 593 times)
0 Members and 1 Guest are viewing this topic.
kram1032
Fractal Senior
******
Posts: 1863


« on: August 25, 2017, 08:04:47 AM »

Perhaps you remember the C1-fractal torus that was a flat torus (by its curvature) in 3D space?

Well, the same people now have done a similar transformation to a sphere to shrink it to arbitrarily small sizes.


Check out the explanation here:
http://hevea-project.fr/ENPageSphereDossierDePresse.html

I believe this might also be related to what's going on here:
[Iterative Sinus-Curve and the extension of line-curves]

but I'm not sure.
« Last Edit: August 30, 2017, 10:49:21 AM by kram1032 » Logged
Tglad
Fractal Molossus
**
Posts: 703


WWW
« Reply #1 on: August 26, 2017, 01:36:11 PM »

I like the visuals.
Unlike the sinus link, these are not fractals, they don't have infinite surface area, they have well defined normals, and the dimension of the surface is 2. If you keep zooming they get smoother and flatter. However, you might say that their derivative is a fractal.

If a fractal is
  sin(x) + sin(2x)/2 + sin(4x)/4 etc
then these are more like
  sin(x) + sin(2x)/4 + sin(4x)/16 etc
Logged
Pages: [1]   Go Down
  Print  
 
Jump to:  


Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.113 seconds with 27 queries. (Pretty URLs adds 0.007s, 2q)