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"Imagine as Descartes did, an interconnected universe. A movement fully complete, a geometry completely full. Where the heavens are liquid and reality is fluid."
- from the film RedFish BlueFish

Rene Descartes Descartes: Intellectual Biography by Stephen Gaukroger
A Conservation with Carolyn Merchant California Monthly, June 2002 by Russell Schoch
     
A History of the Theories of Aether and Electricity Thomas Nelson & Sons Ltd, 1951 by Sir Edmund Whittaker
     
Golden Proportion Curious & Interesting Geometry by David Wells
Golden Proportion Numbers, the Universal Language by Denis Guedj
Equiangluar Spiral Curious & Interesting Geometry by David Wells
Regular Polyhedra Curious & Interesting Geometry by David Wells
Dual Polyhedra Curious & Interesting Geometry by David Wells
Dodecahedron Curious & Interesting Geometry by David Wells
Octahedron Curious & Interesting Geometry by David Wells
Cube Curious & Interesting Geometry by David Wells
Zero Wolfram MathWorld by Eric W. Weisstein
Integer - a Definition American Heritage Dictionary College Edition 1976
Difficult Philosophical Questions: Infinity Aristotle for Everybody, 1978 by Mortimer J. Adler
Warren and the Geometrical Approach to i Wessel Symposium, Copenhagen, 1998 by Caspar Wessel
     
Stanford's Gravity Probe B Confirms Two Einstein Theories Stanford Report, May 4, 2011 by Staff
Einstein was Right About Space-Time Spokesman Review, October 22, 2004 by Maggie Fox
     
A Brief History of Mind AdBusters, Nov/Dec 2004 by Nick Wistreich
     
Universe is Finite, "Soccer Ball"-Shaped National Geographic News, October 8, 2003 by Sean Markey
Flight Experiments Study Use of Vortex Spokesman Review, December 6, 2001 by Andrew Bridges
Jet-Propelled Tuna New Scientist, March 4, 2000 by Bennett Daviss

It is instructive to practice looking for loops around us. Once we learn to see loops, we begin to find loops everywhere in many shapes and forms.

A symbiotic loop is described by Jimmy Fairchild in the film "RedFish BlueFish":

"The earth is bathed in light from the sun. Plants fold the light into plant matter, exhaling oxygen. Animals breathe oxygen and exhale carbon dioxide which the plants breathe. This is an example of a symbiotic loop. With the continuing flow of sunlight, the loop grows. More plants means more animals. More animals means more plants. A causal loop that resonates."
The hyperlinks of the above web pages quoted directly from David Wells' "Curious and Interesting Geometry" provide an illustrative example of loops. From within the Dodecahedron web page one might follow the hyperlink to Cube, from Cube to Octahedron, from Octahedron to Golden Proportion, from Golden Proportion back to Dodecahedron.

Language loops are frequent when consulting a dictionary for definitions of words. In the Webster's New Collegiate Dictionary the word "being" is defined as:

    1. the quality or state of having existence
      1. something conceivable as existing
      2. something that actually exists
      3. the totality of existing things
    2. conscious existence: LIFE
  1. the qualities that constitute and existent thing: ESSENCE; esp: PERSONALITY
  2. a living thing; esp: PERSON
The word "exist" in the same dictionary is defined as:
    1. to have real being whether material or spiritual (do unicorns ~)
    2. to have being in space and time (the greatest poet who ever ~ed)
    3. to have being in a specified place or with respect to understood limitations or conditions (strange ideas ~s in his mind)
  1. to continue to be (racism still ~s to varying degrees)
    1. to have life or the functions of vitality (man cannot ~ without oxygen)
    2. to live at an inferior level or under adverse circumstances (starving people ~ing from one day to the next)
  2. in existentialism: to have contingent but free responsible being
For that matter, every word in a complete dictionary is defined by other words in the same dictionary. A complex structure of loops somehow brings meaning to our language. Perhaps this is how "loopholes" are found in our written laws in which the intended meaning of the law is evaded.

Look for loops and you will begin to see more loops around you.


Economic and dam related articles Award winning film RedFish BlueFish
Descartes & Geometry
RedFish BlueFish script, songs, preview & order
Discussion forum
Library of topics from the film
Tutorial on the Salmon issue
Contact information