I'd never heard of that called the Poincare effect either. Nor it seems does 
Wikipedia nor Google.

IIUC, it is the phenomenon that after working fruitless on some
problem for a while, taking a break, sleeping on it, etc might
suddenly produce the solution. As I've often said - the 10 minutes
walk from my desk to the cafe to get my cup of coffee is often the
most productive time of my day.

Cheers

On Fri, Feb 02, 2024 at 03:17:59PM -0800, Brent Meeker wrote:
> I'm surprised.  All mathematicians have experienced it, but it's named after
> Poincare' because of this essay.  It's well worth reading all of it, but the
> relevant part is pp 326-329.
> 
> https://archive.org/details/jstor-27900262/page/n9/mode/2up
> 
> Brent
> 
> On 2/2/2024 11:47 AM, John Clark wrote:
> 
>     On Fri, Feb 2, 2024 at 2:34 PM Brent Meeker <meekerbr...@gmail.com> wrote:
> 
> 
>          > You must know about the Poincaire' effect
> 
>      
>     Nope, never heard of it. Do you mean the Poincaré conjecture? Or the
>     Poincaré recurrence? Or do you mean something else entirely, the man did a
>     lot of stuff.
>    
>      John K Clark    See what's on my new list at  Extropolis
>     mpl
> 
> 
> 
> 
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