Friday, October 19, 2012

The hyperbolic geometry of marine mammals

I found a very interesting book today:
The Universe in Zero Words: The Story of Mathematics as Told Through Equations by Dr. Dana Mackenzie.

It is about the hyperbolic geometry which some animals and plats use, especially marine mammals like whales (they use "chants" for communication).

Since you hardly have light under the oceans surface, most of the marine mammals communicate via sound (whales sing). Fun Fact: The sound waves speed is determined by the depth, which means it travels faster in greater depth. So for a sound wave to travel from point A to point B the fastest way is a curve as seen in the picture. Fun Fact 2: they are arcs of circles centered at the ocean surface!



Another Example:

A collection of crocheted hyperbolic planes, in imitation of a coral reef, by the Institute For Figuring

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