PensionDan

Pension actuary & math buff. He/him. Passionate about polytopes, integer sequences, statistics & science. Also jogging!

Last Notes

2026-04-27 12:29:41 UTC

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@nprofile…pfuj "For the time being, this is an invasive species found only in New York City." Isn't that an oxymoron? They had to come from somewhere, right?

2026-02-05 20:15:24 UTC

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@nprofile…t6k2 Motor Mania?
https://youtu.be/mwPSIb3kt_4

2026-01-20 20:42:52 UTC

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@nprofile…vhdw Interesting! I will ponder about your post.
You may find this website of interest: https://stevedutch.net/symmetry/polynum0.htm
I believe Steve Dutch has Schlegel diagrams of these two polyhedra at the 'polyhedra with 4 - 7 faces' link.

2025-12-18 18:28:11 UTC

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@nprofile…l4xy Thank You! That makes sense.

2025-12-18 12:40:54 UTC

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@nprofile…l4xy Eggs are polyhedralish I guess

2025-12-15 19:45:45 UTC

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@nprofile…l4xy I have not used Mathematica, but I have used Polymake to generate the equations of the facets of a polytope from the set of vertices. The polytopes I've examined mostly have (0,1) vertices. Note that Polymake uses homogenous coordinates, so I've added an \( x_0 \) term to the vertices, and the output has an \( x_0 \) term instead of a constant term.
https://polymake.org/doku.php/start

2025-11-12 13:56:46 UTC

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@nprofile…u6hy Lancashire is known for its headline-making potholes (including small ones)

2025-11-03 21:07:29 UTC

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@nprofile…w8t5 I disagree; any question written down should end with a question mark. I believe you're on the wrong side of this tautology. Also, question marks don't 'appear' at the end of a spoken question.

2025-10-01 13:48:09 UTC

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@nprofile…v2av As described, constructive empiricism seems similar to Karl Popper's critical rationalism.

2025-02-06 20:56:17 UTC

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@nprofile…fa4k I happened to be familiar with this particular Schlegel diagram, so I drew it in Paint.
https://en.wikipedia.org/wiki/Schlegel_diagram

2024-12-03 20:13:16 UTC

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@nprofile…fa4k I recall reading that Feynman thought of himself as not as brilliant as some other physicists, but able to contribute because he thought differently.

2024-12-02 14:31:58 UTC

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@nprofile…saev Does that imply that fewer than 100 sayings have been completed?

2024-07-16 11:22:13 UTC

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@npub1l0s…pgrv At least you didn’t go all the way around Manhattan!

2024-07-04 15:57:11 UTC

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@npub1l0s…pgrv How many NYC residents do you think have made this hike?

2024-07-03 09:56:01 UTC

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@npub1knz…c73p Congratulations! Sounds like an awesome experience.

2023-08-27 23:18:51 UTC

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@npub1z2q…3yuf @npub1w6g…5ddw @npub1zsm…wvua How about this: First, take an irrational number written in base 9. To the right of the (decimal?) point, it has digits 0 - 8, which never repeat any pattern infinitely. Now, take the base 10 number which has the same representation in digits (a different number). It’s irrational, as the digits to the right of the decimal point never repeat a pattern infinitely. It doesn’t contain any ‘9’ digits, so it doesn’t contain any digit strings that contain a 9.