Thought it might interest some to see how FFT works.

 

“Natural phenomena we can relate to, like sound waves, heat transfer, weather patterns, and those of a more esoteric sort, like quantum particle interactions and cosmic objects moving through gravitational fields governed by general relativity, can all have their interactions approximated by classes of functions called orthogonal functions.”

Source: Video explaining Fourier Transform Used in Spectrum Analysis

 

“The consistency condition which demands that new hypotheses agree with accepted theories is unreasonable because it preserves the older theory, and not the better theory. Hypotheses contradicting well-confirmed theories give us evidence that cannot be obtained in any other way. Proliferation of theories is beneficial for science, while uniformity impairs its critical power. Uniformity also endangers the free development of the individual.”

“There is no idea, however ancient and absurd, that is not capable of improving our knowledge. The whole history of thought is absorbed into science and is used for improving every single theory. Nor is political interference rejected. It may be needed to overcome the chauvinism of science that resists alternatives to the status quo.”

“No theory ever agrees with all the facts in its domain, yet it is not always the theory that is to blame. Facts are constituted by older ideologies, and a clash between facts and theories may be proof of progress. It is also a first step in our attempts to find the principles implicit in familiar observational notions.”

 

Terence McKenna was a fan.

Source: Paul Feyerabend’s Against Method

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One mathematician who’s got first-hand experience of the fascinating interplay between physics and geometry is  Shing-Tung Yau. In a new book called The shape of inner space (co-authored by Steve Nadis) Yau describes how the strange geometrical spaces he discovered turned out to be just what theoretical physicists needed in their attempt to build a theory of everything.  Plus met up with Yau on his recent visit to London, to find out more.

Jack Whitten, Beloved Painter of Abstract Cosmologies, Dies at 78 -ARTnews

 

His “conceptual paintings” offered new possibilities for what abstraction could be.

 

“Ethereal and oftentimes mystical, Whitten’s paintings came out of inquiries into philosophical, scientific, and mathematical concepts. The chipped-paint technique in the “E Stamps” works, for example, often makes his work shine, and it sprang from reading up on the physical properties of light. “We know now that light occurs in extremely small particles,” he once told ARTnews. “That’s what allows us to see—those little fucking photons bouncing around your retina, and blam-o, I can see!””

Source: Jack Whitten, Beloved Painter of Abstract Cosmologies, Dies at 78 -ARTnews

An interview with the late artist on the unique classification system he devised to organize his books

Vito Acconci, as one might expect, did not rely on any such traditional system for organizing his library. He instead arranged his books based on an idiosyncratic, all-encompassing classification system very much of his own devising. Acconci’s system begins with general ontological categories – such as ‘Time’, ‘Space’, ‘Matter’, ‘Body’, ‘Life,’ ‘Mind’ and ‘Signs’ (there are 12 such categories in all) – which then proceed to sub-divide into more particular divisions and sections. By giving primacy to the ontological over the bibliographic, Acconci’s system does away with many library classification conventions. For instance, fiction and poetry are not treated as related genres of writing and thus placed within range of each other. Instead, novels are placed in a subset of ‘Time’ (‘fiction is about turning pages, it’s about time,’ according to Acconci) while poetry is classified as a subset of ‘Body,’ along with books on dance, music and clothing – perhaps reflecting Acconci’s own early evolution from poet to performance artist. Art and architecture books are also not assumed to share a common heritage and therefore assigned proximate shelf space. Instead, architecture books belong to a subset of ‘Space,’ while art books are classified as a subset of ‘Matter.’

 

Source: Vito Acconci’s Library

Source: Greenfield.pdf

Gary R. Greenfield
Department of Mathematics & Computer Science University of Richmond

Abstract
I provide a brief survey documenting the inclusion of cellular automata, periodic tilings and op-art in mathematical art. Then I give an overview of the history of Turing-like patterns in mathematical art. I describe a cellular automaton for producing Turing-like patterns and introduce some new variations. This leads to an open problem concerning the convergence of such patterns.

When someone thinks about knitting, they usually don’t conjure up an image of sweaters and scarves made of yarn that can power watches and lights. But that’s just what one group is reporting in ACS Nano. They have developed a rechargeable yarn battery that is waterproof and flexible. It also can be cut into pieces and still work.

Most people are familiar with smartwatches, but for wearable electronics to progress, scientists will need to overcome the challenge of creating a device that is deformable, durable, versatile and wearable while still holding and maintaining a charge. One dimensional fiber or yarn has shown promise, since it is tiny, flexible and lightweight. Previous studies have had some success combining one-dimensional fibers with flexible Zn-MnO2 batteries, but many of these lose charge capacity and are not rechargeable. So, Chunyi Zhi and colleagues wanted to develop a rechargeable yarn zinc-ion battery that would maintain its charge capacity, while being waterproof and flexible.

The group twisted carbon nanotube fibers into a yarn, then coated one piece of yarn with zinc to form an anode, and another with magnesium oxide to form a cathode. These two pieces were then twisted like a double helix and coated with a polyacrylamide electrolyte and encased in silicone. Upon testing, the yarn zinc-ion battery was stable, had a high charge capacity and was rechargeable and waterproof. In addition, the material could be knitted and stretched. It also could be cut into several pieces, each of which could power a watch. In a proof-of-concept demonstration, eight pieces of the cut yarn battery were woven into a long piece that could power a belt containing 100 light emitting diodes (known as LEDs) and an electroluminescent panel.