Have you ever wondered as a kid as you watched someone use an Etch-a-Sketch, and were still adapting to using the knobs, how to draw a pen stroke curve? It turns out that you don’t really need to be an expert on the knobs, but with a lot of patience you can draw a pen […]

Some thoughts on Collatz and Goodstein sequences

If you haven’t heard of Collatz sequences or Goodstein sequences, I’ll introduce them shortly. The point I’m trying to get across in this post is to convey the remarkable properties of both sequences, while comparing the two, since the Collatz sequences can be redefined into ‘partial’ base bumping part and iterated division by 2, and […]

Working my way through a tough problem

When I first heard about the Monty Hall problem was probably when I read about it in The Man Who Loved Only Numbers, the biography of Paul ErdÅ‘s, by Paul Hoffman. I was reading it nervously on the Megabus(which advertised 1 rides) on my way to New York City from Towson, MD, to meet with […]