David Custis Kimball - blog

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me ---> 'Gaarr of Blog' <---

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An Unmapped Ponderocity:
To say: '"He is a man of truth," is to say nothing; to say: "He is a man of of," is to state an elementary truth of logic.'
Winston Davids, 1969 - Trinity College Valedictorian - 1970; known endeavor: actuarial contributions to The Donald; since has contacted me and sadly is quite ill. Ask prayers for recovery; thanks for his brilliance and music.

Jul 30, 2010 10:54am

Mathematics, Environment, Law, Psychophysics
There is a &#8217;Journal of Fibonacci Numbers&#8217;, from which this spiral is derived. 0, 1, 1, 2, 3, 5, or you can &#8216;idealize&#8217; it by going 1,1.618; 1.618,1.618x1.618, etc. with each couplet being 90 degrees of each other.
The sunflower grows it&#8217;s seeds in this pattern, and I believe embryos grow in this way with the eye becoming the origin.  Nothing needs to be exact, except as it progresses (in my opinion) and the errors are also useful as well.
Personally, great things are in store for this sequence, as it also is quite similar to the hippocampus structure of the &#8216;learning&#8217; center, Limbic System, or Medial Temporal Lobe and has some function to store and promote directional, sequential, perhaps episodic (&#8216;On Being Certain&#8217;, by R.A.Burton, MD) memories and actions. 

proofmathisbeautiful:

The Golden Ratio, or Divine Proportion, is the visual representation of a + b over a = a over b = Phi (1.61803…). In simpler terms, one might imagine a line divided in two pieces. The entirety of the line is to the larger section as the larger section is to the smaller section (this is known as the golden segment.) The Divine Proportion has been attributed to everything around us, from art to nature to music to our bodies to space itself. This particular golden ratio appeared as a Nautilus Shell, a must-have for every Wunderkammer. Examples of the Divine proportion are abundant. The cochlea in the inner ear, the skeletons of mammals, the veins in leaves, the Mona Lisa, the Great Pyramid of Giza, parrot’s beaks, snowflakes, spiral galaxies, the music of Beethoven, Mozart and Bach, and Greek architecture, ram’s horns and, of course, nautilus shells. The Divine Proportion has been called many things, and studied by some of the worlds most learned men. Plato, Ohm and recently Roger Penrose have all knelt before the Divine Proportion. (Fibonacci developed the famous Fibonacci sequence, which bears close connection to the golden ratio.) Referred to as the rational harmony that holds the perceived chaos of the world together, proof of God’s existence, and the essence of all that is aesthetically pleasing, it is a weighty number indeed. While most examples of Phi found in nature are disputed, as the ratio is not always exact, a nautilus shell comes close which may explain why it was a mainstay of wunderkammern. The collectors of these cabinets sought to have a complete representation of the natural wonders of the world. The nautilus shell, being naturally pleasing to the eye (many Renaissance painters used the theory as a basis for their masterpieces), was a lovely specimen of the sea. Even better, was well-suited to be mounted as cups (example of a nautilus shell cup). So the next time you find yourself gazing upon some natural beauty, take out your handy pocket rule and have a measure, for you might be worshipping at the foot of that mystical math mystery: The Divine Proportion.

Mathematics, Environment, Law, Psychophysics

There is a ’Journal of Fibonacci Numbers’, from which this spiral is derived. 0, 1, 1, 2, 3, 5, or you can ‘idealize’ it by going 1,1.618; 1.618,1.618x1.618, etc. with each couplet being 90 degrees of each other.

The sunflower grows it’s seeds in this pattern, and I believe embryos grow in this way with the eye becoming the origin.  Nothing needs to be exact, except as it progresses (in my opinion) and the errors are also useful as well.

Personally, great things are in store for this sequence, as it also is quite similar to the hippocampus structure of the ‘learning’ center, Limbic System, or Medial Temporal Lobe and has some function to store and promote directional, sequential, perhaps episodic (‘On Being Certain’, by R.A.Burton, MD) memories and actions. 

proofmathisbeautiful:

The Golden Ratio, or Divine Proportion, is the visual representation of a + b over a = a over b = Phi (1.61803…). In simpler terms, one might imagine a line divided in two pieces. The entirety of the line is to the larger section as the larger section is to the smaller section (this is known as the golden segment.) The Divine Proportion has been attributed to everything around us, from art to nature to music to our bodies to space itself. This particular golden ratio appeared as a Nautilus Shell, a must-have for every Wunderkammer. Examples of the Divine proportion are abundant. The cochlea in the inner ear, the skeletons of mammals, the veins in leaves, the Mona Lisa, the Great Pyramid of Giza, parrot’s beaks, snowflakes, spiral galaxies, the music of Beethoven, Mozart and Bach, and Greek architecture, ram’s horns and, of course, nautilus shells. The Divine Proportion has been called many things, and studied by some of the worlds most learned men. Plato, Ohm and recently Roger Penrose have all knelt before the Divine Proportion. (Fibonacci developed the famous Fibonacci sequence, which bears close connection to the golden ratio.) Referred to as the rational harmony that holds the perceived chaos of the world together, proof of God’s existence, and the essence of all that is aesthetically pleasing, it is a weighty number indeed. While most examples of Phi found in nature are disputed, as the ratio is not always exact, a nautilus shell comes close which may explain why it was a mainstay of wunderkammern. The collectors of these cabinets sought to have a complete representation of the natural wonders of the world. The nautilus shell, being naturally pleasing to the eye (many Renaissance painters used the theory as a basis for their masterpieces), was a lovely specimen of the sea. Even better, was well-suited to be mounted as cups (example of a nautilus shell cup). So the next time you find yourself gazing upon some natural beauty, take out your handy pocket rule and have a measure, for you might be worshipping at the foot of that mystical math mystery: The Divine Proportion.

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