Very nice work Michael, well presented and interesting !!

Did you also see Eugene McDonnell’s essays on ‘volutes’ (spirals) in At Play 
With J (around page 85).
Also here …   "At Play With J (Edn 2)” paperback 
<https://www.google.com.au/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0CB4QFjAAahUKEwj_8fTtm9XHAhUnJKYKHbCgAHY&url=http://www.jsoftware.com/jwiki/At%2520Play%2520With%2520J&ei=8UblVb-1CafImAWwwYKwBw&usg=AFQjCNHOakLes8gaM40T8nrbCX92Brp8cQ>


Note that Joey Tuttle (and Roger Hui) contributed a lot of ideas and a solution 
to Eugene also, but I think your derivation is actually very elegant !!!

(so I copied Joey to verify)…/Regards Rob


> On 1 Sep 2015, at 1:09 pm, Michal Wallace <michal.wall...@gmail.com> wrote:
> 
> Hey all,
> 
> I made a 15 minute video about a line of J code I wrote a while back:
> 
> https://www.youtube.com/watch?v=dBC5vnwf6Zw
> 
> -Michal
> ----------------------------------------------------------------------
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