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Category Archives: Uncategorized
The Möbius function proof, part 1
In my last post, I introduced the Möbius function , which is defined in terms of the prime factorization of : if has any repeated prime factors, that is, if is divisible by a perfect square. Otherwise, if has distinct … Continue reading
The Möbius function
Time to pull back the curtain a bit! My recent series of posts on complex roots of unity may seem somewhat random and unmotivated so far, but the fact is that I definitely have a destination in mind—we are slowly … Continue reading
Reading double- and triple-sided paper
In the comments on my previous post there are some nice suggested algorithms for reading a stack of double-sided sheets of paper. The key seems to be that you need to keep track of a distinguished edge of the stack. … Continue reading
John Conway’s algorithms for counting stairs and reading double-sided paper?
This past week I started reading Siobhan Roberts’s new biography of John Conway, Genius at Play: The Curious Mind of John Horton Conway. I’m enjoying it so far. I’ll have more to say about it later, once I finish it, … Continue reading
The blog lives! and Secrets of Creation Trilogy
I haven’t written here in a really long time! But the blog has not been abandoned, just on hiatus. I have recently started blogging again so you can expect more posts in the near future! In the meanwhile, here’s what … Continue reading
Posted in Uncategorized
2 Comments
Permutation flower
Posted in pattern, pictures, posts without words, Uncategorized
Tagged diagrams, flower, permutations
1 Comment
The Math Less Traveled 