Math Trek Math Riding on Square Wheels By Ivars Peterson March 30, 2004 at 6:43 pm - More than 2 years ago Share this:Share Share via email (Opens in new window) Email Share on Facebook (Opens in new window) Facebook Share on Reddit (Opens in new window) Reddit Share on X (Opens in new window) X Print (Opens in new window) Print A square wheel may be the ultimate flat tire. There’s no way it can roll over a flat, smooth road without a sequence of jarring bumps. Stan Wagon rides his square-wheeled trike over a special roadway. Courtesy of Stan Wagon A hanging chain. A square rolling on a bed of inverted catenaries. A view of the rear of Wagon’s new square-wheeled trike.