Category: punktwissen
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Vintage Temperature Waves
There might be three people among my active followers who still remember when this blog was primarily about hard science and tech – without artistic adornments. These were the glory days of the internet, in the early 2010s. When social media had not yet defeated small blogs. We had our German heat pump and energy…
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Unearthing a Time Capsule and Preserving a Fading Cathedral
My first creative endeavors (as an adult) were not drawings or paintings. It was the early web that made me pick colors by hand and stitch together HTML code snippets. The web of the early 2000s was a very different place from the modern social media era, built from many small independent sites and blogs,…
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New Art Prints and Merch Store: Canvas Prints, Coffee Mugs, and Blankets with Physics-Inspired Art!
The title is the whole message, but let me add a mysterious trailer first! For years, I have been flying trough my structures from mathematical physics… Oscilloscopic Dance. Flying through virtual structures built from 3D Lissajous figures. … searching for the best viewpoint to take a snapshot. Searching for the art within the math. Searching…
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Innovation and Scarcity (and Panic)
I tried to avoid such words. They sounded like hollow buzzwords in times of abundance, used by advertizers playing on fears. But our complacent world is taught a lesson, right now, at furious speed. I am following news as everybody else, I am reading about gloomy forecasts. An Austria paper mill has announced today it…
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Joys of Geometry
Creating figures with math software does not feel like fabricating illustrations for science posts. It is more of a meditation on geometry. I want to literally draw every line. I am not using grid lines or rendered surfaces. I craft a parametric curve for every line. A curve is set of equations. Yet, playing with…
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Galaxies of Diffraction
These – the arrangement of points in the image below – are covectors, sort of. I wrote about them, some time ago. They are entities dual to vectors. Eating vectors, spitting out numbers. Vectors are again ‘co’ to vectors; they will eat covectors. If vectors live in a space with axes all perpendicular to each…
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Vintage Covectors
Covectors in the Dual Space. This sounds like an alien tribe living in a parallel universe hitherto unknown to humans. In this lectures on General Relativity, Prof. Frederic Schuller says: Now comes a much-feared topic: Dual vector space. And it’s totally unclear why this is such a feared topic! A vector feels familiar: three numbers…
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Dirac’s Belt Trick
Is classical physics boring? In his preface to Volume 1 of The Feynman Lectures on Physics, Richard Feynman worries about students’ enthusiasm: … They have heard a lot about how interesting and exciting physics is—the theory of relativity, quantum mechanics, and other modern ideas. By the end of two years of our previous course, many…
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Parse Certificates Stored in the Windows Registry
You can parse the binary blobs that represent certificates stored in the Windows registry with certutil correctly, even when the Windows Explorer / GUI tells you that this is not a certificate. certutil seems to be able to handle / ignore meta data better. Once upon a time I played with the machine Ethereal provided by…
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Statistical Independence and Logarithms
In classical mechanics you want to understand the motion of all constituents of a system in detail. The trajectory of each ‘particle’ can be calculated from the forces between them and initial positions and velocities. In statistical mechanics you try to work out what can still be said about a system even though – or…
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The RSA Algorithm
You want this: Encrypt a message to somebody else – using information that is publicly available. Somebody else should then be able to decrypt the message, using only information they have; nobody else should be able to read this information. The public key cryptography algorithm RSA does achieve this. This article is my way of…





