Monday, January 26, 2015

Fibonacci Ripples Merge into a Spiral**

This was posted early on in this blog.
Notice that the radius eg of circumference 34 units is almost 1/10 of the next number 55,  all the way along.

Please click on images to enlarge them.

Theoretical spiral made by merging the Fibonacci ripples above.

More work to follow, comparing this with the spire of a real seashell......
We can also try to project the lines up into a cone of varying heights........


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More work,  12/2/2015


Compare these, the theoretical, and the real.  Almost exactly the same.





Three short spired and one long spired seashells.
One can make mathematical models by projecting the merged spiral up into cones of varying heights.
=  next post!
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Conserving Cuba's Coral Reefs

Heron Island Coral Reef