C.a.R. > Applications > Physics > Square Wheel

Surprisingly, it is possible to ride with square wheels without bumps, provided the street is somewhat special.

Technical Information

A bit difficult to do. Since I wanted to show the numerical features of C.a.R., I avoided any algebra or analysis. First, I constructed an inverted hyperbolic cosine curve with a parameter cosh(0), and computed its zeros -a and +a. Then the parameter was set, so that the derivatives at the zeros were -1 and 1. Then a point x is animated from -a to a. The tangents are computed numerically, and also the length of the curve to the point x. This makes it possible to draw the wheel.