Paul Abbott
paul-c-abbott.bsky.social
Paul Abbott
@paul-c-abbott.bsky.social
Sharing my passions: math, physics, computation, modern art, politics, history, photography, music, cycling and AFL
Strange that Niall Ferguson’s recent conversion to Christianity was based on “…the realization that one couldn’t organize one’s life as an individual or as a family without religious faith…” and that it is a “powerful and revolutionary solution to some of the central problems of human existence.”
America Is In A Late Republic Stage Like Rome | NOEMA
History suggests republics don’t last more than 250 years.
www.noemamag.com
May 22, 2025 at 8:26 AM
But, of course, this is *obvious*—as each “digit rotation” is equivalent to successively multiplying Dyson’s number by a simple rational:

2, 2, 2, 13/16, 7/13, 2,
9/14, 2, 17/18, 15/17,
11/15, 3/11, 2, 2,5/12, 2

And so, “nearly all” the prime factors will remain in each rotation.
April 2, 2025 at 4:05 AM
Excellent, captivating video. Your dismissal of the question about “benevolent dictators” was good—but what is your view on Lee Quan Yew? Although his family profited from the rapid development of Singapore, I think his underlying motivation was to bring his country into the First World quickly…
March 19, 2025 at 3:03 PM
And this “explainer” gives excellent background to this outstanding animated movie
Flow: How He Made a Masterpiece on His Laptop
YouTube video by Swamp Jawn
youtu.be
March 19, 2025 at 2:06 PM
What I’d not noticed before is that 7 of the prime factors of Dyson’s number, namely {3, 7, 11, 13, 37, 52579, 333667} appear in all the “rotations”.
March 14, 2025 at 7:44 AM
Great pity that this shirt has sold out. But, if I had bought one, I do wonder whether wearing it on my next trip the US would have caused me to be denied entry…
March 14, 2025 at 6:51 AM
@vitaliykaurov.bsky.social: Perhaps this is of interest to WL developers?
March 14, 2025 at 6:49 AM
This looks very interesting. I did some related computational experiments a while ago…
March 14, 2025 at 6:35 AM
I do recall working on that—and I did wonder whether you’d ever managed to get that spherical harmonic code working to your satisfaction…
March 8, 2025 at 4:16 PM
Our family sailed from Sicily to Santorini via Athens with Luc and Sarah back in 2014–and they are now finishing up their house in the Oakland hills…
February 20, 2025 at 5:14 AM
Just downloaded. Looks very good!

Interested to see that Silvio Levy, who I worked with on The Mathematica Journal back in 1990, did the figures, and the Trott curve (by Michael Trott, a colleague at Wolfram Research) has all 28 bitangents real…
February 16, 2025 at 5:49 AM
This is a situation where it would be immoral to *not* ignore the order. So, you lose your job—but do you really want to work for and support a “corrupt” regime?

If you do not resist now, things will only rapidly get worse and, by complying, you will be complicit…
February 8, 2025 at 6:37 AM