I managed to reproduce a proof that all finite groups of the same prime order are isomorphic. This is not new or surprising (and still rather basic as far as group theory goes), but here it is:
( Read more... )

There are several ideas floating around in my head, and I don't feel like properly structuring them. Trying to give structure to my thoughts regarding almost any subject often leads to no structure being built, nothing getting written, and usually more thoughts getting piled on top... but that's not what I was going to post about ( Read more... )

Take a prime number p and look at the repeating digits of 1/p. Pick the smallest possible period. If there are an even amount of repeating digits, split it up into two equal halves. Add those two halves. The result will consist of only 9s ( Read more... )

Something not from math camp, but inspired by a geocache (which I've already found, don't worry ( Read more... )

We are on the island of knights and burglars. Knights always tell the truth, and burglars always lie. However, there is a spy. Someone who sometimes tells the truth, and sometimes lies. Three people (Alfred, Bertram, and Cedric) have been taken to court, to find out who the spy is. We know that one of them is a knight, one of them is a burglar, and ( Read more... )

No fancy stories, just a simple fill-in-the-numbers. Or is it?

The puzzle is layered. The top layer depends only on itself, but all other layers also depend on those on top of it. The point is to fill in the numerical values of how often certain digits appear on each layer.

( To the puzzles! )

As promised, the answers to Monty Hall revisited. They can be found behind the cut.
( Answers here! )

Everyone knows (or at least heard of) the Monty Hall game: You are at the last round of a game show. There are three doors. Behind one is a prize, and behind the other two is nothing. You get to choose a door. Then, the game host will open a door you haven't chosen, and has nothing behind it. He now asks you if you want to switch to the other door ( Read more... )

Look at that: photos! Click the first thumbnail and then continue clicking the "volgende" link to see them all.