Leo C. Stein

Physics Prof @ U of MS. Sloan Fellow. Black holes, gravitational waves, general relativity & beyond. Formerly Caltech, MIT, Cornell. Need thin pizza + fruity coffee. He/him

Web: https://duetosymmetry.com/
Twitter: https://twitter.com/duetosymmetry
Github: https://github.com/duetosymmetry/
Publications: https://inspirehep.net/author/profile/L.C.Stein.2

Last Notes

2024-12-23 19:40:24 UTC

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can you remind me — did we go over the Wallis-style product for the lemniscate constant? I don't know how it would be derived, and why it's similar to the Wallis product for pi, and if there's a similar product for all the generalizations.

2024-10-28 18:15:47 UTC

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With the new code, outside and inside are programmed like this:
\def\elevenGon{
(0,3) -- (-2,3) -- (-3,1) -- (-3, 0) -- (-2,-2)
-- (-1,-3) -- (1,-4) -- (3,-4) -- (4,-3) -- (4,-1)
-- (2,2) -- cycle
}
\draw[black, thick, fill=yellow, fill opacity=0.6] \elevenGon;
\draw[thick, blue, fill=green, fill opacity=0.6]
decorate[decoration=cut equilateral]
{ \elevenGon };
And yields the attached image. I can send you the updated code if you'd like!
https://files.mastodon.social/media_attachments/files/113/386/411/806/020/245/original/5796402e69e4a6ec.png

2024-10-28 18:14:31 UTC

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FYI I just learned how to use the "decorations" engine in PGF to automate cutting out the equilateral triangles. Once I define that decoration, you only have to define the outside 11-gon (making sure to go counterclockwise).
1/

2024-10-28 07:08:03 UTC

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one of the removed triangles is not equilateral? A typo?

2024-10-26 20:12:13 UTC

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I am supposed to be writing GR homework solutions today, but I'm very close to being nerd-sniped ;)

2024-10-26 20:07:37 UTC

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I have been getting more and more proficient at TikZ, but it's still not like a first language.

2024-10-26 17:37:18 UTC

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If you want to be able to customize your triangle graph paper with different sizes, colors, etc., without using a web site, then @npub188w…3emc and I have you covered! We wrote a LaTeX package named gridpapers, available at https://github.com/mcnees/LaTeX-Graph-Paper or in any LaTeX distribution since ~2022.
https://files.mastodon.social/media_attachments/files/113/374/932/729/499/794/original/c76a5d9939f43542.png
https://files.mastodon.social/media_attachments/files/113/374/933/730/578/417/original/0531673ca4c86ea9.png
https://files.mastodon.social/media_attachments/files/113/374/934/558/867/193/original/8b3f1d2465486d1e.png

2024-10-15 15:03:23 UTC

Achievement unlocked: contributed code to AUCTeX! This will be included in a future version of emacs ^_^