• D. S_D6

    We received solutions to this Dilemma from Matthew Helmer (Pacific Lutheran University), William Jones (PMP), and Jesse Waite (PMP), and partial solutions from Christopher Havens (PMP Founder) and Sonny Kim (PMP). As Jesse pointed out, the rectangles look like dominoes (length twice the width), but since we want the exact answer, we’d better not rely…

    Posted: 2023-11-19 15:45:55   Solutions will be accepted through
  • D1. Continuing Irrationality

    Continuing Irrationality

    One interesting thing about continued fractions is that every infinite continued fraction represents an irrational number. But in our first dilemma, we ask what happens when you have an infinite sequence of finite continued fractions with more and more terms. Recall that the binomial coefficient ( a b ) has the formula a ! b…

    Posted: 2022-01-27 16:45:18

Contributor: Havens_C