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9 posts tagged with fibonacci.

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## Blooming Zoetrope Sculptures

"When the sculptures are spun at just the right frequency under a strobe light, a rather magical effect occurs: the sculptures seem to be animated or alive!"

These 3D printed sculptures were designed by artist, inventor, and Stanford design lecturer John Edmark using Fibonacci's sequence to determine the placement of the appendages. They appear animated when their rotation speed is synchronized to a strobe so that one flash occurs every time the sculpture turns 137.5º - though in the video above, the camera was set to a very short shutter speed (1/4000 sec) to achieve the effect without using a strobe. Here's a clip of just one sculpture with the strobe going.

These 3D printed sculptures were designed by artist, inventor, and Stanford design lecturer John Edmark using Fibonacci's sequence to determine the placement of the appendages. They appear animated when their rotation speed is synchronized to a strobe so that one flash occurs every time the sculpture turns 137.5º - though in the video above, the camera was set to a very short shutter speed (1/4000 sec) to achieve the effect without using a strobe. Here's a clip of just one sculpture with the strobe going.

## "You treat her like a lady. And she'll always bring you home."

Robot Jackalope -- "a blog about design, programming and general geekery" -- tackles The Geometry of Starship Design -- the USS Enterprise

## Computerized Math, Formal Proofs and Alternative Logic

Using computer systems for doing mathematical proofs - "With the proliferation of computer-assisted proofs that are all but impossible to check by hand, Hales thinks computers must become the judge." [more inside]

## Pineapple under the sea.... Really?

*So, Nickelodeon, you tell us that Spongebob Squarepants lives in a pineapple upside down house at the bottom of the sea. Are you really sure about that? Beware of misleading your viewers about the universe, Nickelodeon!*[more inside]

## Impossible Crystals

"This is a story of how the impossible became possible. How, for centuries, scientists were absolutely sure that solids (as well as decorative patterns like tiling and quilts) could only have certain symmetries - such as square, hexagonal and triangular - and that most symmetries, including five-fold symmetry in the plane and icosahedral symmetry in three dimensions (the symmetry of a soccer ball), were strictly forbidden. Then, about twenty years ago, a new kind of pattern, known as a "quasicrystal," was envisaged that shatters the symmetry restrictions and allows for an infinite number of new patterns and structures that had never been seen before, suggesting a whole new class of materials...."

Physicist Paul J. Steinhardt delivers a fascinating lecture (WMV) on tilings and quasicrystals. However, it turns out science was beaten to the punch: a recent paper (PDF) suggests Islamic architecture developed similar tilings centuries earlier.

Physicist Paul J. Steinhardt delivers a fascinating lecture (WMV) on tilings and quasicrystals. However, it turns out science was beaten to the punch: a recent paper (PDF) suggests Islamic architecture developed similar tilings centuries earlier.

## The so-called Golden Ratio

A good article on the so-called Golden Ratio.

## It all started with rabbits

## The golden section

The golden section (math, graphics) is an important relation used by artists and mathematicians, among others. I'm curious if any of you have good examples of recent use.

## "Self-similar syncopations: Fibonacci, L-systems, limericks and ragtime"

"Self-similar syncopations: Fibonacci, L-systems, limericks and ragtime" Along the lines of the book "Godel, Escher and Bach", an award winning essay looks at the mathmatical roots of popular music. I think I'm going to have to find a way to analyze some of my fave mp3's to see how they fall into the Fibonacci sequence...

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