MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Visualization site updates - string theory and photons

  • To: mathgroup at
  • Subject: [mg63241] Visualization site updates - string theory and photons
  • From: Jeff Bryant <jeffb at>
  • Date: Tue, 20 Dec 2005 04:19:42 -0500 (EST)
  • Sender: owner-wri-mathgroup at

   I've added a couple more animations to my visualization site.  The 
first was inspired by Brian Greene's Book "The Fabric of the Cosmos" and 
his older "Elegant Universe" book which was turned into a documentary.

*NOTE* make sure to check out the link at the bottom of the page that 
lets you watch episodes of "Elegant Universe" online.  One episode about 
multiple dimensions is particularly relevant.

The second example was created to demonstrate a practical use for 
arbitrary precision arithmetic.  This allows Mathematica to handle much 
more than machine precision when dealing with numerical problems.  In 
this case, a SIAM 100 digit challenge problem is visualized in which two 
photons are bouncing around in a room full of mirrors.  With each 
interaction, precision is lost.  Eventually, the machine precision 
photon loses all of its precision rendering its path unreliable.  The 
other path starts with 120 digits of precision and still has 62 digits 
of precision left in the final frame:

Also, I've added an alternate version of my prehistoric creature model 
(Anomalocaris canadensis).  Its name means "strange shrimp of Canada" 
of something to that effect and it lived 550 million years ago in the 
seas.  The new view does a good job of letting you see the flapping fins 
in more detail:



  • Prev by Date: Re: Re: Gray's Differential Geometry error?
  • Next by Date: Re: Output a list of keywords
  • Previous by thread: Re: Unexpected behavior of Simplify
  • Next by thread: Speeding up simple Mathematica expressions?