Tag: SageMath
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Dreaming of a Magnetic Field
Do you feel the magnetic field? Do you dream of of it? I sure do! … having completed this project: These are the flow lines of the magnetic generated by a circular current loop. They look almost like ellipses, embracing an (almost) torus. Each field line encircles the tiny current loop in the center. The…
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Elliptical Collage. Stereographic Haiku.
Once, I have been obsessed with stereographic projection! Circles on the sphere are projected onto circles in the equatorial plane. Corresponding circles are lines on the surface of the same elliptical cone. I created these images with code in 2021. They live in the nether land between of scientific visualization and art: ~ I want…
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Jellyfish of Diffraction – Revisited
This has been my second series of diffraction art. I am revisiting these early mathematical art, originally created as part of a collage. As a background as I felt it was “not enough”. ~ The jellyfish was the natural evolution of the ribbon. I tack my diffraction patterns to imaginary semi-circular screens. I am turning…
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Ribbon of Diffraction
I am looking back – thinking about this series of digital artworks, created 2022. But I am not sure if I considered it “art” back then. Rather, an illustration or an exercise in using code to create a scientific diagram with an enigmatic touch. I played with diffraction patterns – the spectral colors of the…
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Jellyfish of Diffraction
Diffraction patterns, again. But this time I tack them to an imaginary semi-circular screen. Screens grow bigger in radius with increasing wavelength – growing more reddish. If every wavelength would be diffracted in the same way, all peaks would lie on a radius of the circle. But as red is diffracted more, maxima move to…
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Creative Process. Evolution.
My creative process has been evolving gradually in the past year. ~ I am thinking about a little piece of physics, and how it is described with math. ~ Then I am creating a SageMath notebook (plus custom code) that outputs a set of functions as parametric curves in a three-dimensional space. Here, diffraction patterns…
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Newton’s Space Probes Investigate my Ribbons of Diffraction
I have been calculating diffraction patterns for visible light. Curves are displaced to turn the whole structure into a wavy ribbon built from colored wires or threads. I have turned these images into collages, adding Isaac Newton’s drawings from Opticks (1704). The more I moved Newton’s figures around, and the more I twisted the ribbons…
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Complex Alien Eclipse
My colorful complex function lived in a universe of white light. I turned off the light. Turned it into its negative. Expected it to look bleak. Like thin white bones on black canvas, cartoon skeletons of imaginary alien creatures. But it is more like the total solar eclipse I watched in 1999. There is interference,…
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My Elliptical Cone
I’ve still been thinking about this elliptical cone! It has been the main character in my geometric proof on stereographic projection mapping circles to circles. The idea has been to reduce a three-dimensional problem to a two-dimensional one, by noting that something has to be symmetric. A circle on a sphere is mapped to some…
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Super Motivational Function
I’ve presented a Motivational Function, a while back. It is infinitely flat at the zero point: all its derivatives are zero there. Yet, it manages to lift its head – as it is not analytic at zero! If you think of it as a function of a complex argument, its weirdness becomes more obvious. Turn…