View Single Post
  #1  
Old 04-19-2012, 03:00 PM
Nudibranch Nudibranch is offline
Member
 
Join Date: Apr 2012
Location: PNW
Posts: 36
Default Lobachevsky redux

FrankLee asked for another layer of the onion when I introduced myself (intro thread) and headered it "Lobachevsky love."

Lobachevsky was a 19th century mathematician who created and published a geometry in which Euclid's Fifth Postulate did not hold. In doing so he laid out the basis of hyperbolic geometry.

Hyperbolic geometry is what accounts for things such as the form and branching of sea corals, the sprawling of the internet, and many other geometric forms based on exponential patterns of increase.

Here is a nice illustration:
http://www.nature.com/ncomms/journal...ms1063_F1.html

And an outstanding introduction using hyperbolic geometry and crochet:
http://www.mnh.si.edu/exhibits/hreef/

http://www.theiff.org/

The interesting thing is that very simple increases, systematically and carefully managed, can explode into whole new, vast, and stunning forms. That's where I see it overlapping with love. Frank observed what he called something like a "poly obsession with geometry," and I'm paraphrasing there. Yes, I think many of us intuit that there are many other patterns of increase possible than just two people getting together and making babies and watching human numbers double more rapidly every century.

http://www.albartlett.org/presentati...on_energy.html

Frank, thanks for asking.
Reply With Quote