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Hallo, new Mastodon users! Here on mathstodon.xyz we've got a couple of mathematical emoji: and . I'd love to add some more. If you can make a PNG image the same size as those, send it to me and I'll add it. Faces of famous mathematicians are an easy place to start; could we have some shapes, polyhedra, or other mathographics too?

You can see that transformation in motion at http://squiangle.glitch.me/

121. HEADS OR TAILS. Crooks, an inveterate gambler, at Goodwood recently said to a friend,

"I'll bet you half the money in my pocket on the toss of a coin--heads I win, tails I lose." The coin was tossed and the money handed over. He repeated the offer again and again, each time betting half the money then in his possession. We are not told how long the game went on, or how many times the coin was tossed, but this we know, that the number of (1/2)

This piece shows the sequence of moves triangle → square → 90° rotation → triangle → 120° rotation

I love the mastodon image captioning feature because there are a lot of good uses even for sighted users

- when federation / the other instance / your router fails & the image won't load

- explaining visual jokes while "keeping the medium intact"

- naming a visual symbol you /think/ people will know about but maybe not, so they can look it up & read more about it

- noting 'what to look for' when it's unclear

- translating an image in another language while still letting it speak for itself

Consider the algorithm "M(x): if x<0 return -x, else return M(x-M(x-1))/2". This algorithm terminates for all real x, though this is not so easy to prove. In fact, Peano Arithmetic cannot prove the statement "M(x) terminates for all natural x". Paper to come! Joint work with @jeffgerickson and @alreadydone

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Mathematician, koala fan, mathstodon.xyz admin,

⅓ of https://aperiodical.com. He/him

Joined Apr 2017