Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » Math Topics » geometry.puzzles.independent

Topic: Asymptotic lines of a polar grid
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  

Posts: 356
Registered: 9/16/06
Asymptotic lines of a polar grid
Posted: Jul 25, 2013 9:47 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Please refer to my earlier discussion on (imaginary) asymptotic lines for positive gauss curvature surfaces.

(My name does not appear here!. Can Mathforum help for its full access?)

Stretching it further and looking at these "asymptotic" lines as limiting cases for very small flat curvatures,
polar grid (r,theta), becomes ( (r + theta)/2, ( r - theta)/2 ) archimedian spirals.

It puzzles me that the particular two dimensional case of spirals are not any special lines in elliptic or hyperbolic geometry.


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum 1994-2015. All Rights Reserved.