For a future blog post, I’ve been thinking about how sometimes, when we have two alternatives, one is really a special or “limiting” case of the other, the way a square is just a special case of rectangle. I’m still working on that post, but meanwhile I’ve been distracted by thinking about other shapes that … More A Quadrilateral Venn Diagram
There are a lot of pieces of classical music that seem to be used over and over as background music, so I made a flowchart to keep track of them. It’s best viewed on a full-size computer screen; on small screens the links might not line up correctly. For a hi-res pdf, click here. Cliché … More Choose Your Own Cliché Classical Music
Triumphal Arch: Arch of Titus, Rome Arc de Triomphe, Paris Washington Square Arch, New York Triple Arch: Arch of Constantine, Rome Arc du Carrousel, Paris Marble Arch, London Septuple Arch: ??? Cantor’s Arch: It seems to me that no arch is more triumphant than one that rests on a set of measure zero.
If you’re like me, you like to doodle fun patterns. One of my favorite things to doodle is an “impossible triangle” that looks like three straight bars meeting in right angles, which can’t exist in real life: But I had trouble drawing an impossible triangle from memory, until through trial and error I came up with this … More How to draw an impossible triangle