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Matt Henderson

Follow @matthen2

6 Aug, 5 tweets, 2 min read

did you guess what shape is hidden in the circumference of this wire?

equation of the wire

@WolframResearch

or, more succinctly in @WolframResearch #Wolfram language:
RotationTransform[ t, {0, 1, 0}][
Join[ Entity["PopularCurve", "PiCurve"]["ParametricEquations"][t] /
500 + {3, 0}, {0}]]

https://twitter.com/jagarikin/status/1401077078548570112

inspired by

https://twitter.com/jagarikin/status/1401077078548570112

can you guess the shape in this wire?

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More from @matthen2

Matt Henderson

@matthen2

31 Jul

visualizing prime factors

more numbers

My old version of this

blog.matthen.com/post/120471240…

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Matt Henderson

@matthen2

11 Sep 20

@cnxhk

WaveGrad by @cnxhk et al is a clever new neural net for generating speech. It starts with random noise, and iteratively denoises, essentially hallucinating a voice in the noise. Listen to the voice emerge, as the number of iterations increases with time 🔉

The WaveGrad paper: arxiv.org/abs/2009.00713

the video shows mel-spectrogram features that are used to guide the denoising and specify the speech to produce. These could be the output of a text-to-speech system

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Matt Henderson

@matthen2

15 Jul 20

creating an infinite spiral zoom using complex analysis. The map z -> z^(x + i y) warps the image so that it can be infinitely repeated inside itself

we can get different spirals by changing the complex exponent. Here's a double spiral

#mathquiz what type of spiral is this?

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Matt Henderson

@matthen2

6 Jul 20

I managed to make a pretty good 3d model of the Julia set ring. Is anyone interested in helping me 3d print it?

I first created code to generate the perimeter of a Julia set in mathematica, by repeatedly applying the inverse map to (1, -1, i, -i). Then I wrote some python code to generate a .obj 3d model, and rendered in blender