What if you the advent calendar you open, opens another advent calendar, which opens another advent calendar and another and another without end?
Hilbert's advents calendar
Infinite calendarception… but do you get any chocolate in this setup?
Once you reach infinity
Sure, no problem. That’s only going to take an infinite amount of time, so we’re all good.
Think of the chocolate at the end tho
There is no end. Kinda essential part of the definition of infinity.
Depends on the final advent calendars. I've seen one where the final product is an electric screwdriver, with screw bits and all.
Only on Sundays but you get infinite chocolates.
Fair enough, as long as it’s a countably infinite amount of chocolate.
Yo dawg...
I like explainers, so I want an explainer for the explainer.
No, really, I need an explainer for the explainer. I got lost mid way through...
So assuming 25 advent calenders in the advent calender, each with the correct amount of days (1st has 25, 2nd has 24, etc), how many chocolates would there be in total?
(n*(n+1)/2 = 25*13 =325
Never mind the fact that the "correct" number of days on an advent calender is 24.
For one, it looks to me like the triangle numbers, which for triangle number T~n~ = (n+1) choose 2.
So for a correct nested advent calendar of 24 days, it's T~24~ = (24+1) choose 2 = 300
Also, it appears that they created the terminal function that does that in a very compact notation, so another correct way to write down this sum is "24?" Where n? = n + (n-1)?
primary school combinatorics question
Could we link the actual image instead of the external site? For example, in today's comic the bottom line of text was cleanly cut out of the thumbnail, and it looked like it was complete (and even made grammatical sense).
No idea what problem you're talking about, doesn't occur the way I view it. You are in any case free to do that when you are the first person to post a new xkcd here; I will continue to link to the comic page because people might want to browse other things on the xkcd website from it.
Depends a lot on which client you use to browse lemmy, I'm sure. Not everybody will experience it of course. Thank you anyway for your efforts in posting daily :)
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