User blog:LittlePeng9/Advent calendar

So, it's December, and in few weeks Christmas is coming! Because of this I have decided to make something of sort of advent calendar. I won't be giving out chocolates, but I'll be describing some mathematical facts which I, for some or other reason, have found especially interesting. I wish you have fun pre-Christmas!


 * 1) Pizza theorem - take any point inside a disk, and draw 4 straight lines through it, with equal angles between them. This way we will get disk divided into 8 pieces. Number them 1,...,8 in clockwise order. Then sum of areas of pieces 1,3,5,7 is equal to sum of areas of pieces 2,4,6,8.