Tag Archives: diagrams

Factorization diagram posters!

Posted on December 13, 2013 by Brent

I’ve finally gotten around to making a nice factorization diagram poster: You can buy high-quality prints from Imagekind. (If you order soon you should have them before Christmas! =) I’m really quite happy with imagekind, the print quality is fantastic … Continue reading →

Posted in arithmetic, counting, geometry, number theory, pattern, pictures, primes | Tagged , , | 7 Comments

Animated Sieve of Eratosthenes

Posted on April 11, 2013 by Brent

Here’s something I made yesterday! (Note, I strongly suggest watching it fullscreen, in HD if you have the bandwidth for it.) Can you figure out what’s going on? The source code for the animation is here; I was inspired by … Continue reading →

Posted in arithmetic, counting, pattern, pictures, primes, video | Tagged , , , , | 12 Comments

Stars of the Mind’s Sky with Diagrams

Posted on April 6, 2013 by Brent

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 , , , , , | 9 Comments

Diagrams!

Posted on March 27, 2013 by Brent

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 →

Posted in links, pictures, programming | Tagged , | 1 Comment

Factorization diagram cards: help?

Posted on February 5, 2013 by Brent

The other day I got a lovely email from Malke Rosenfeld thanking me for creating factorization diagrams and linking me to her blog post about “factor dominoes”: she printed out some factorization diagrams, glued them to cardstock, and used the … Continue reading →

Posted in arithmetic, pictures, primes | Tagged , , , | 2 Comments

More factorization diagrams

Posted on November 5, 2012 by Brent

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 , , | 15 Comments

Visualizing Pascal’s triangle remainders

Posted on October 20, 2012 by Brent

In a comment on my previous post, Juan Valera mentioned something about visualizing multiples of prime numbers in Pascal’s Triangle: In college, there was a poster with different Pascal Triangles, each of them highlighting the multiples of different prime numbers. … Continue reading →

Posted in fractals, modular arithmetic, pascal's triangle, pattern, pictures | Tagged , , | 15 Comments

Factorization diagrams

Posted on October 5, 2012 by Brent

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 , , | 72 Comments