Go to Home Page
You are here
Go to Reference Section
Go to Directories Section
Go to Community Section
Go to Fun Section
Go to Science Store
Go to About PhysLink.com
Club PhysLink
   Not a member yet?
   Get Free Membership
    Remember me
   Forgot your login?
Top Destinations Menu
 Ask the ExpertsAsk the

 Physics and Astronomy Departments DirectoryUniversity

 Discussion ForumsDiscussion

 Online Chat Online

 FREE Einstein eCardsEinstein

 PhysLink.com Science eStoreScience


Chikrii Word2TeX Software

Click here for a free 2-week trial

Become a Sponsor


Is there such a thing as a 3d fractal?

Asked by: Chris Platt


Sure there are 3D fractals, in the sense that a fractal surface can bend and extend out of a 2 dimensional plane. Take for example the fractal "sponge created by iterations of this method: Starting with a cube divided into 9 congruent smaller cubes, take the 4 cubes that are the center of each face and remove. Now perform the same operation on each of the 5 remaining cubes. Repeat ad infinitum. You are left with an object in a 3D space, but what is its volume? Well, zero, actually, and this is where your question becomes a tricky one. Does an object with zero volume exist in 3D? This is why most mathematicians consider fractals to have intermediate dimension, in this case somewhere between 2 and 3.

Answered by: Rob Landolfi, None, Science Teacher, Washington, DC

Broken glass, mountains and human lungs are some 3d fractal examples. Although someone could say that a fractal can not have an integral dimension as 2 or 3, but something in between.

Answered by: Spiros Besis, M.S.

go to the top  

All rights reserved. © Copyright '1995-'2004 PhysLink.com