Philosophy
This variant form of cauliflower is the ultimate fractal vegetable. Its pattern is a natural representation of the Fibonacci or golden spiral, a logarithmic spiral where every quarter turn is farther from the origin by a factor of phi, the golden ratio.
- Doodling In Math - Spirals, Fibonacci And Plants - 3
Ok, so now that you've learned how the beauty and elegance of the golden ratio and Fibonacci sequence are instantiated all over the natural world (parts 1 and 2), you're probably wowing all your friends and thinking this is the coolest thing ever......
- Doodling In Math - Spirals, Fibonacci And Plants - 1
Time for some math. No, don't run away! I guarantee even the greatest of mathophobes among you are going to love this, not only because it's a new episode of the Doodling in Math Class series (narrated by the future mother of my children, although...
- Nature By Numbers - Fibonacci And The Golden Ratio
Among the pre-Socratics, it was Pythagoras who hypothesized that the most basic constituent of the universe wasn't some material substance but rather numbers. The idea must have seemed strange to most of his contemporaries, but over two thousands...
- Deceased--benoît B. Mandelbrot
Benoît B. Mandelbrot November 20th, 1924 to October 14th, 2010 "Benoît Mandelbrot, Novel Mathematician, Dies at 85" by Jascha Hoffman October 16th, 2010 The New York Times Benoît B. Mandelbrot, a maverick mathematician who developed the field of fractal...
- Nova--"hunting The Hidden Dimension"
Dan Lindeberg Being aired this Tuesday evening, October 28th, on most PBS stations is a program on fractals where art and science meet..."Hunting the Hidden Dimension". Hunting the Hidden Dimension How ancient the relationship is. Such a relationship...
Philosophy
Mother Nature's fractals
This variant form of cauliflower is the ultimate fractal vegetable. Its pattern is a natural representation of the Fibonacci or golden spiral, a logarithmic spiral where every quarter turn is farther from the origin by a factor of phi, the golden ratio."Earth’s Most Stunning Natural Fractal Patterns"
by
Jess McNally
September 10th, 2010
Wired
From sea shells and spiral galaxies to the structure of human lungs, the patterns of chaos are all around us. Fractals are patterns formed from chaotic equations and contain self-similar patterns of complexity increasing with magnification. If you divide a fractal pattern into parts you get a nearly identical reduced-size copy of the whole. The mathematical beauty of fractals is that infinite complexity is formed with relatively simple equations. By iterating or repeating fractal-generating equations many times, random outputs create beautiful patterns that are unique, yet recognizable.by
Jess McNally
September 10th, 2010
Wired
- Doodling In Math - Spirals, Fibonacci And Plants - 3
Ok, so now that you've learned how the beauty and elegance of the golden ratio and Fibonacci sequence are instantiated all over the natural world (parts 1 and 2), you're probably wowing all your friends and thinking this is the coolest thing ever......
- Doodling In Math - Spirals, Fibonacci And Plants - 1
Time for some math. No, don't run away! I guarantee even the greatest of mathophobes among you are going to love this, not only because it's a new episode of the Doodling in Math Class series (narrated by the future mother of my children, although...
- Nature By Numbers - Fibonacci And The Golden Ratio
Among the pre-Socratics, it was Pythagoras who hypothesized that the most basic constituent of the universe wasn't some material substance but rather numbers. The idea must have seemed strange to most of his contemporaries, but over two thousands...
- Deceased--benoît B. Mandelbrot
Benoît B. Mandelbrot November 20th, 1924 to October 14th, 2010 "Benoît Mandelbrot, Novel Mathematician, Dies at 85" by Jascha Hoffman October 16th, 2010 The New York Times Benoît B. Mandelbrot, a maverick mathematician who developed the field of fractal...
- Nova--"hunting The Hidden Dimension"
Dan Lindeberg Being aired this Tuesday evening, October 28th, on most PBS stations is a program on fractals where art and science meet..."Hunting the Hidden Dimension". Hunting the Hidden Dimension How ancient the relationship is. Such a relationship...