Showing only Notes & Links tagged math
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Below, the sphere becomes “corrugated”, the first step in the eversion. Next, the north and south poles are pushed through each other. Here one eighth of the sphere has been cut away to reveal some of the interior. Next, the corrugations are twisted 180°, and the sphere starts to deflate. Here some of the surface is cut away. During deflation the interior becomes very complex. This is a zoom-in on the equatorial cross-section (the southern hemisphere has been cut away). Here, seven eighths of the sphere have been cut away, leaving a single “strip”. It is easier to visualize the full eversion if one first studies a single strip as twists and turns inside out.
Fractal/Generative art by Lee Jang Sub
Is there a clue in the infinitely regressing character of such images that illuminates our perception of art?
— P.W. Atkins
(via but does it float)
Wolfram Blog : Exploring Logo Designs with Mathematica
I was surprised that such a variety of designs would arise from a straightforward parameterization of this simple logo. But that’s often the case. This tiny corner of the design universe contains an infinity within itself. It’s like exploring a drop of pond water with a microscope. The universe within is dazzling.
An overall excellent post about design + math + Mercedes Benz!
I keep saying the sexy job in the next ten years will be statisticians. People think I’m joking, but who would’ve guessed that computer engineers would’ve been the sexy job of the 1990s? The ability to take data—to be able to understand it, to process it, to extract value from it, to visualize it, to communicate it—that’s going to be a hugely important skill in the next decades, not only at the professional level but even at the educational level for elementary school kids, for high school kids, for college kids. Because now we really do have essentially free and ubiquitous data. So the complimentary scarce factor is the ability to understand that data and extract value from it.Hal Varian on how the Web challenges managers - The McKinsey Quarterly - Hal Varian web challenge managers - Strategy - Innovation (via slantback) (via brocatus)
Mathematics, that highly abstract form of cognition, could not proceed if we did not replace the “real” objects of analysis with ciphers, just as the cash market could not operate if we could not convert apples and oranges into symbolic wealth and the symbols back into apples and oranges.Lewis Hyde - The Gift
Talked to Ari on the phone about fractals and re-stumbled upon this beautiful image of a Romanesco Broccoli. This is why I love math.
