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Ed Pegg
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&[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/795a823c-06e9-4a97-aff5-308b29424f4c
*Please share this post via the following link:* https://wolfr.am/Engel-38 ---------- ![enter image description here][1] &[Wolfram Notebook][2] [1]:...
&[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/f4fc4f44-1b86-4ad1-b7f5-7a1cb39fa28c
Currently, the prize for Megamillions is over a billion dollars. Pick 5 numbers from 1 to 70, then pick one number from 1 to 25. Odds of winning Megamillions: 25 Binomial[70, 5] = 302575350 Not sure what the odds are of just one...
&[Wolfram Notebook][1] I'd be curious if anyone can find more perfect series dissections. [1]: https://www.wolframcloud.com/obj/82f03a84-4159-408d-9ba8-52bdef8cd000
The [Herschel graph][1] is smallest smallest nonhamiltonian polyhedral graph. GraphData["HerschelGraph"] ![enter image description here][2] I've pondered how to improve my [Canonical Polyhedra][3] demo / function to give exact values. ...
![enter image description here][1] ![enter image description here][2] An [n-gonal antiprism or n-antiprism][3] is a polyhedron composed of two parallel copies of an n-sided polygon, connected by a band of 2n triangles. ...
&[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/04583976-5a80-43c2-9cd2-a9df6e976d2d
I saw the following image and thought I'd check it. ![enter image description here][1] Turns out this only works if you use FractionalPart. Both of the following give the same output. N[1/109, 106] ...
The Brillhart matrix has eigenvalues that give the solutions of b^3-8 b-10=0. In 1965, Brillhart noticed this led to an exotic continued fraction, with numerous large terms early in the expansion. bc = Eigenvalues[{{0, 2, 2}, {1, 0, 2}, {2, 1,...