I’ve always found the inductive proof of that one much simpler than the algebraic. Just put a layer of unit squares around two edges of your square, plus one more at the corner.
Though of course, there are an infinite number of distinct sequences that start with 1,4,9…, because you can come up with a formula that starts with any finite sequence of numbers.
As for the gorilla suit, I think each astronaut has an allowed weight allowance for “personal items”, and they can spend that weight budget (mostly) however they wish.
Why did Constantinople get the works? That’s nobody’s business but the Turks. And maybe the Byzantines.
Today I learned about the “My Way” killings, in which, over the last 30 years (give or take), about a dozen people have been killed in the Philippines while singing (or just having finished singing) the Frank Sinatra song My Way.
No real explanation has been given for the reason this song incites such anger in some people.
TIL the worst riot in the history of San Francisco started on VJ Day, 1945, Drunk soldiers and sailors were responsible for 11 deaths, over a thousand injuries, vandalized and looted businesses, 30 overturned street cars, and numerous gang rapes. The (not always) Greatest Generation.
There’s also serial killer Eddie Leonski, aka the Brownout Strangler. An Army private stationed to Australia during WW2, Eddie was the first and only citizen of another country to have been tried and sentenced to death in Australia under the law of their own country.
I recently learned about a traditional Mexican game called pasárutakua, or “fire hockey”, played with sticks and a flaming ball. That means that we have fire hockey, water (ice) hockey, earth (field) hockey and, of course, air hockey. I await the coming of the Hockey Avatar.
