Category Archives: geometry

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

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

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

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

Penrose tiles on my refrigerator!

I got some Penrose refrigerator magnets in the mail the other day! They look nice on my fridge, don’t you think? Here’s a close-up: (Unfortunately, since this was just a Kickstarter project there’s no way to order more at this … Continue reading

Posted in geometry, pattern, pictures | Tagged , , , , | 6 Comments

Book review: Discrete and Computational Geometry

Discrete and Computational GeometrySatyan L. Devadoss & Joseph O’Rourke [Full disclosure: Princeton Press kindly sent me a free review copy of this book, and Satyan Devadoss is a (former) teacher and (current) good friend of mine. I was the TA … Continue reading

Posted in books, computation, geometry, pictures, review

Searchable tiling database

Just a link today—check out this awesome tiling database! It’s got tons of beautiful plane tilings (with information and further reading about each one) and many ways to search through the database. It’s a great way to find examples of … Continue reading

Posted in geometry, group theory, links, pattern, pictures | Tagged , , , , | 2 Comments