- For 2020, the doomsday is Saturday.
All the dates below are doomsdays (So this year they are all Saturdays):
- 4/4, 6/6, 8/8, 10/10, 12/12, easy enough
- 9/5, 5/9, 7/11, 11/7 (9-to-5 at 7-11)
- 0th of March (last day of February)
- 3rd of January for non-leap years, and 4th of January for leap years. So this year the 4th is Saturday.
And to calculate dates: mod 7.
So e.g. 7th of July: it's is 4 days before Saturday 7/11, so it's a Tuesday.
Last year Pi Day was Thursday, this year Saturday.
So the general rule then is: March 14th, April 4th, May 9th, June 6th, July 11th, August 8th, September 5th, October 10th, November 7th, December 12th, January 2nd, February 6th are Pi Days.
Edit: another nice rule is that usually Pi-Days increase by 1 each year (2 in leap years), so next year it will be Sunday, then Monday, Tuesday, Thursday (leap year), Friday, etc.
As for calling it Doomsday, well, it's from the title of the paper about the algorithm, by the man who invented it, the famous John Conway: https://en.wikipedia.org/wiki/Doomsday_rule
At some point in my life, all of these seemed needlessly complex and arbitrary to me, but they don't anymore (at least unless I think too hard about them). I don't think about them unless I have to teach them to someone else, at which point I start thinking about how seriously broken they are.
I suppose that if I needed to get the day of the week from any date in history, and used this algorithm often enough, I'd eventually think of it as something I didn't have to memorize either.
Except my wife number, which I should learn. But I know how to say if a month is 30 or 31 days by counting my knuckles.
These are the kind of "hardly important but easy to remember tricks" I like