[ExI] isaac's number

spike spike66 at att.net
Thu Aug 3 17:47:45 UTC 2017



-----Original Message-----
From: extropy-chat [mailto:extropy-chat-bounces at lists.extropy.org] On Behalf Of BillK
...
>
>>... Alternative: BillK might find us another miracle page somewhere that 
> answers the new question.


>...Wolfram does say - 'The integral is extremely difficult to compute.'
(If it is difficult for Wolfram...........)  :)

OK cool that makes me feel better.  Wolfram came to one of the Extro-schmoozes.  He and Max had a discussion in which he asked what we were about.  They talked for a while, then he left.  I got him to sign my book.

>...Wolfram gives the answer as 0.01384277.....

My sim gives .01384293 but I will be durned if I can figure out why.

<http://mathworld.wolfram.com/CubeTetrahedronPicking.html>

>...BillK

_______________________________________________

Cool BillK thanks.  This technique I used can be extended into four-space and beyond.  I might try it, or I might get back to the original question, for which this was a tangent.

Original question: assume a unit square with a random scattering of points.  Form triangles with the points as vertices until every point is used.  How many different ways can N points form triangles?

My Monte Carlo approach allows me to generate the fields.

spike





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