How did I begin this adventure? **

In the 1970s and 1980s I read "The Secret Life of Plants" and :Secrets of the Soil" by Peter Tomkins and Christopher Bird. In Chapter 9 of the latter, The Vortex of Life, the Fibonacci series of numbers, 1, 2, 3, 5, 8, was mentioned. ....internal corkscrew patterns... similar to seashells and animal horns....The Vedas describe the Universe as ellipsoidal. In the 1930s a professor of Mathematics said the entire universe revolves around a geometrical form which is a rectangular hyperbola. Schwenk wrote -vortexial formative processes in nature .......
Reich wrote of the creation of matter from the throat of cosmic vortices such as nebulae.....

Back then, I thought how good it would be to make a Nautilus shell form in accordance with the Fibonacci series. Curiosity compels one to follow certain directions.

The big clue was an article in my favourite UK magazine, Resurgence. http://www.resurgence.org/ in the July/August 2007 issue, on page 43. I quote verbatim:-
"Ïn 1997 Dr Daina Taimina discovered how to make models of the geometry known as hyperbolic space using the art of crochet. Until that time most mathematicians believed it impossible to construct physical models of hyperbolic forms, yet nature has been doing just that for hundreds of millions of years. It turns out that many marine organisms embody hyperbolic geometry, among them kelps, corals, sponges and nudibranches."
The website was given of The Institute for Figuring http://www.theiff.org/
Co-directors Margaret and Christine Wertheim are curators of a splendid exhibition of Crocheted Hyperbolic Coral Reefs. (Also check out the computational origami of Robert Lang, laser physicist!). There I found more from Dr Taimina - "as you move away from a point, the space around it increases exponentially....knit or crochet...ruffle and crenellate. Íncrease 1 stitch in every 3, you get a pseudosphere- the hyperbolic equivalent of a cone.....if you increase once in every stitch it becomes increasingly crenellated....you can increase 2 or 3 times in every stitch...."

Thus I also began the adventure, trying to figure out how to crochet the Fibonacci Series.

More in the next episode of blogspot, from Tiiu V.