Tag Archives: curve

Post without words #5, explained

Posted on February 7, 2016 by Brent

If you stared for a while at the images in my previous post, you probably noticed some patterns, and maybe you even figured out some sort of rule or algorithm behind them. Commenter Yammatak expressed it as “You split it … Continue reading →

Posted in pattern, pictures, posts without words, sequences, solutions | Tagged , , , , , | 4 Comments

Mystery curve, animated

Posted on June 5, 2015 by Brent

As a follow-on to my previous post, here’s an animation (17MB) showing how the “mystery curve” arises as a sum of circular motions: Recall that the equation for the curve is . The big blue circle corresponds to the term—it … Continue reading →

Posted in complex numbers, geometry, programming | Tagged , , , , , , , | 6 Comments

Random cyclic curves

Posted on June 4, 2015 by Brent

Princeton Press just sent me a review copy of a new book by Frank Farris called Creating Symmetry: The Artful Mathematics of Wallpaper Patterns. It looks amazing and I’m super excited to read it. Apparently John Cook has been reading … Continue reading →

Posted in complex numbers, geometry, programming | Tagged , , , , , | 24 Comments