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### Meta

# Tag Archives: Haskell

## Stars of the Mind’s Sky with Diagrams

A few weeks ago, Paul Salomon posted a really beautiful work of mathematical art on his blog, Lost In Recursion: Stars of the Mind’s Sky, by Paul Salomon He included a precise mathematical description of the image, and I naturally … Continue reading

Posted in geometry, group theory, pictures, programming
Tagged art, diagrams, Haskell, polygon, star, visualization
9 Comments

## Diagrams!

Over the past few years I’ve written quite a few posts with images generated by a library I (now along with many others) wrote. Most famously, this is how I created those factorization diagrams. But I’ve used it in many … Continue reading

## More factorization diagrams

My post on factorization diagrams from a month ago turned out to be (unexpectedly) quite popular! I got ten times as many hits as usual the day it was published, and since then quite a few other people have created … Continue reading

Posted in arithmetic, links, pictures, primes, programming, recursion
Tagged diagrams, factorization, Haskell
15 Comments

## Factorization diagrams

In an idle moment a while ago I wrote a program to generate "factorization diagrams". Here’s 700: It’s easy to see (I hope), just by looking at the arrangement of dots, that there are in total. Here’s how I did … Continue reading

Posted in arithmetic, pictures, primes, programming, recursion
Tagged diagrams, factorization, Haskell
72 Comments

## u-tube

[This is the eighth in a series of posts on the decadic numbers (previous posts: A curiosity, An invitation to a funny number system, What does "close to" mean?, The decadic metric, Infinite decadic numbers, More fun with infinite decadic … Continue reading

Posted in computation, convergence, infinity, iteration, modular arithmetic, number theory, programming
Tagged decadic, Haskell, idempotent, streaming, u
2 Comments

## Learn You a Haskell!

I have written several times before about using the Haskell programming language as a tool for exploring mathematics, but until now I had no good recommendation for people who were interested in learning it for that purpose (Real World Haskell … Continue reading

## Prime Time in Haskell

In a recent blog post, Patrick Vennebush of Math Jokes 4 Mathy Folks noted that 2011 can be expressed as a sum of consecutive prime numbers, and challenged his readers to work out how. He also posed a couple further … Continue reading

Posted in arithmetic, number theory, primes, programming
Tagged consecutive, Haskell, primes, sum
8 Comments

## m-bracelets code

[15 January 2013: updated code to work with the latest versions of fgl and graphviz. Thanks to Conal Elliott for the updates!] By popular demand, here is the Haskell code I used to generate the images in my previous post. … Continue reading

Posted in arithmetic, computation, links, pictures, programming
Tagged bracelets, graph, graphviz, Haskell, literate
3 Comments

## The hyperbinary sequence and the Calkin-Wilf tree

And now, the amazing conclusion to this series of posts on Neil Calkin and Herbert Wilf’s paper, Recounting the Rationals, and the answers to all the questions about the hyperbinary sequence. Hold on to your hats! The Calkin-Wilf Tree First, … Continue reading

Posted in arithmetic, computation, induction, iteration, number theory, pattern, proof, recursion, sequences, solutions
Tagged algorithm, binary, Calkin-Wilf, Euclidean, Haskell, hyperbinary, tree
6 Comments