Category Archives: complex numbers

Monday Math Madness #31

This week’s Monday Math Madness is a nice little problem involving complex exponentiation. Go check it out, and maybe win a prize!

Posted in challenges, complex numbers, links | Tagged , , , ,

Video: Möbius transformations revealed

For your viewing pleasure, a fantastically beautiful video about Möbius transformations, which are functions of the form where z, a, b, c, and d are complex numbers, and . For example, is a Möbius transformation with b=2, c=1, and a=d=0. … Continue reading

Posted in complex numbers, geometry, video

Nuclear Pennies Game: Analysis

And now, for the promised analysis of the Nuclear Pennies Game! First, recall the rules of the game: there is a semi-infinite (i.e. with a beginning but no end) strip of squares, each of which can contain a stack of … Continue reading

Posted in algebra, complex numbers, games, proof | 3 Comments