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   Dan Piponi (dpiponi@mathstodon.xyz)'s status on Thursday, 06-Mar-2025 11:34:08 JST Dan Piponi

   As good an example as any, I think, of how even the simplest of computer programs can yield surprising results that take significant work to explain.

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     Paul Cantrell (inthehands@hachyderm.io)'s status on Thursday, 06-Mar-2025 11:35:16 JST Paul Cantrell

     in reply to

     • Kevin Riggle

     @dpiponi @kevinriggle

     I’ve used variations on this very curve with intro programming students — with turtles, of course! It’s so pleasing.

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     Paul Cantrell (inthehands@hachyderm.io)'s status on Thursday, 06-Mar-2025 11:40:49 JST Paul Cantrell

     in reply to

     • Kevin Riggle

     @dpiponi @kevinriggle
     If you give the L-system a stack of turtle states, then yes! See _The Algorithmic Beauty of Plants_, which expresses them in exactly this way.

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     Kevin Riggle (kevinriggle@ioc.exchange)'s status on Thursday, 06-Mar-2025 11:40:53 JST Kevin Riggle

     in reply to

     • Paul Cantrell

     @inthehands @dpiponi it occurs to me that some of the L-systems playing I’ve wanted to do might be easier in a turtle framework

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     Dan Piponi (dpiponi@mathstodon.xyz)'s status on Thursday, 06-Mar-2025 11:40:53 JST Dan Piponi

     in reply to

     • Paul Cantrell
     • Kevin Riggle

     @kevinriggle @inthehands Perfect for L-systems I'd have thought.

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     Paul Cantrell (inthehands@hachyderm.io)'s status on Thursday, 06-Mar-2025 14:19:59 JST Paul Cantrell

     in reply to

     • Kevin Riggle

     @dpiponi @kevinriggle
     I’m fairly certain it’s highly dependent on the discrete approximation; choose a different steps size and angle change to match, and you’ll get a whole new result!

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     Dan Piponi (dpiponi@mathstodon.xyz)'s status on Thursday, 06-Mar-2025 14:20:00 JST Dan Piponi

     in reply to

     • Paul Cantrell
     • Kevin Riggle

     @inthehands @kevinriggle And if you're feeling cruel you can ask them to predict where the spirals will be. (There are papers, but I'm not sure there is a nice answer to this specific question.)

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     Kevin Riggle (kevinriggle@ioc.exchange)'s status on Friday, 07-Mar-2025 12:31:43 JST Kevin Riggle

     in reply to

     • Paul Cantrell

     @inthehands @dpiponi Oh that is in fact the book on my bookshelf which I had been meaning to get to, well then

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     Paul Cantrell (inthehands@hachyderm.io)'s status on Friday, 07-Mar-2025 12:31:43 JST Paul Cantrell

     in reply to

     • Kevin Riggle

     @kevinriggle @dpiponi
     It’s a wonderful book. Please enjoy!