did you guess what shape is hidden in the circumference of this wire?
equation of the wire Image
or, more succinctly in @WolframResearch #Wolfram language:
RotationTransform[ t, {0, 1, 0}][
Join[ Entity["PopularCurve", "PiCurve"]["ParametricEquations"][t] /
500 + {3, 0}, {0}]]
can you guess the shape in this wire? Image

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More from @matthen2

31 Jul
visualizing prime factors
more numbers
My old version of this

blog.matthen.com/post/120471240…
Read 4 tweets
11 Sep 20
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
Read 4 tweets
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?
Read 4 tweets
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? ImageImageImage
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 Image
32 cross-sections super-imposed Image
Read 4 tweets
23 May 20
images as bar charts of red, green, and blue
@standupmaths covered this really well
Read 4 tweets
22 May 20
if a black hole passed in front of a mirror, what would its reflection look like?
these could be considered its reflections Image
Read 4 tweets

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