Philosophy
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...
Are you ready to get your mind blown?
What about those instances in which the golden spiral does not become instantiated, and we have instead all kinds of seemingly random angles? As it turns out, this provides an even more impressive opportunity for Vi Hart to drop some knowledge and make a beautiful and powerful connection between math and science, and a point about how the apparent teleology of the natural world is simply an appearance caused by what might turn out to be mathematical inevitability...
And if you want to see an incredible animation of a meristem doing its mathematical magic, you know what to do.
- Animated Fibonacci Sculptures
When math is expressed aesthetically, and when art is expressed with the precision and rigor of math, things are bound to look stunning and inspiring. If you haven't checked out Vi Hart's amazing little doodles on the Fibonacci series, or the...
- Richard Feynman - Ode To A Flower
A common misconception regarding disciplines that require abstract and rigorous thinking (math, philosophy, science, etc.) is that their cold and rational nature strips the world (and our experience of it) of its natural beauty and the awe it can inspire...
- Doodling In Math - Spirals, Fibonacci And Plants - 2
This girl is so cool I may soon have to create a tag on this blog just for her awesomeness. Last time we saw her, she gave us a nice introduction to how the Fibonacci sequence can give rise to the kinds and numbers of spirals we find in many plants. Now,...
- 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...
- 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....
Philosophy
Doodling in Math - Spirals, Fibonacci and Plants - 3
Are you ready to get your mind blown?
What about those instances in which the golden spiral does not become instantiated, and we have instead all kinds of seemingly random angles? As it turns out, this provides an even more impressive opportunity for Vi Hart to drop some knowledge and make a beautiful and powerful connection between math and science, and a point about how the apparent teleology of the natural world is simply an appearance caused by what might turn out to be mathematical inevitability...
And if you want to see an incredible animation of a meristem doing its mathematical magic, you know what to do.
- Animated Fibonacci Sculptures
When math is expressed aesthetically, and when art is expressed with the precision and rigor of math, things are bound to look stunning and inspiring. If you haven't checked out Vi Hart's amazing little doodles on the Fibonacci series, or the...
- Richard Feynman - Ode To A Flower
A common misconception regarding disciplines that require abstract and rigorous thinking (math, philosophy, science, etc.) is that their cold and rational nature strips the world (and our experience of it) of its natural beauty and the awe it can inspire...
- Doodling In Math - Spirals, Fibonacci And Plants - 2
This girl is so cool I may soon have to create a tag on this blog just for her awesomeness. Last time we saw her, she gave us a nice introduction to how the Fibonacci sequence can give rise to the kinds and numbers of spirals we find in many plants. Now,...
- 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...
- 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....