Author Archives: Brent

Factorization diagram posters!

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

PIE day

[This is part six in an ongoing series; previous posts can be found here: Differences of powers of consecutive integers, Differences of powers of consecutive integers, part II, Combinatorial proofs, Making our equation count, How to explain the principle of … Continue reading

Posted in combinatorics, counting | Tagged , , , , | 2 Comments

FARM 2013: call for demonstration proposals

Do you enjoy writing beautiful code to produce beautiful artifacts? Have something cool to show off at the intersection of functional programming and visual art, music, sound, modeling, visualization, or design? The deadline for submitting a paper has passed, but … Continue reading

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Straightedge and compass construction challenges

I haven’t written here in quite a while—I’ve switched into “work on research for my dissertation really hard so that I can actually graduate” mode, and with a 21-month old in the mix that leaves very little time for blogging. … Continue reading

Posted in challenges, games, geometry, links, meta | Tagged , , , , , , | 5 Comments

Workshop on Functional Art, Music, Modeling and Design

Wearing my PhD-student hat, I’m helping organize a workshop, FARM, to be held in Boston this September. I thought it worth mentioning since some readers of this blog—especially those interested in the intersection of math, art, and programming—may find it … Continue reading

Posted in meta | Tagged , , , , , , , , | 2 Comments

Making connections

Here’s something fun I was playing around with today. I generated 100 random points and connected some of them with lines. Can you figure out how I chose which lines to draw? How about these? (Same points, different lines.) Or … Continue reading

Posted in challenges, geometry | Tagged , , , | 10 Comments

Animated Sieve of Eratosthenes

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

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

Book review: Guesstimation 2.0

Guesstimation 2.0: Solving Today’s Problems on the Back of a NapkinLawrence Weinstein I got a review copy of this book, and initially decided I wasn’t going to review it—I hate those sorts of consulting-company-interview estimation problems, you know, like “what … Continue reading

Posted in books, computation, review | Tagged , , ,

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

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