Tesla At Work. (via Reddit)

“Sketching Fractals” by Music: Fractals are a treat for your eyes, but what about your ears?

Fractals are geometric constructs that exhibit similar or identical characteristics at every level of magnitude. They provide new tools for geometers to describe objects of extreme intricacy, such as clouds, ferns, snowflakes, mountain ranges, stock-market fluctuations, the human circulatory and nervous system, etc.. The geometry of Fractals brings us a new appreciation for the natural world and the beauty of mathematics. Some of the most popular examples are: The Sierpinski triangle  and the Von Koch snowflake.

Fractals are a treat for your eyes, but what about your ears?. Dmitry Kormann, a composer/keyboardist from São Paulo, Brazil, explains how he brings fractal-like patterns to the very structure of his music, to obtain beautiful results. See more at:  [http://plus.maths.org/issue55/features/Kormann]

Images: Snow winter at Datspiff on Tumblr & Snowflakes and snow crystals on Flickr.

References:

[Fractal Dimensions of Geometric Objects on Fractalfoundation.org]

[http://en.wikipedia.org/wiki/Fractal]

In this short film, the Macro Room team plays with the diffusion of ink in water and its interaction with various shapes. Injecting ink with a syringe results in a beautiful, billowing turbulent plume. By fiddling with the playback time, the video really highlights some of the neat instabilities the ink goes through before it mixes. Note how the yellow ink at 1:12 breaks into jellyfish-like shapes with tentacles that sprout more ink; that’s a classic form of the Rayleigh-Taylor instability, driven by the higher density ink sinking through the lower density water. Ink’s higher density is what drives the ink-falls flowing down the flowers in the final segment, too. Definitely take a couple minutes to watch the full video. (Image and video credit: Macro Room; via James H./Flow Vis)

Double triangle sawtooth by Miguel Angel Blanco Muñoz. I have liked how time seemed to slow down, folding the grid.

Geometric Animations / 170402

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