Curve A is a parabola, the graph of a quadratic equation generally introduced in a high school algebra course. The curve shown is a portion of the graph of p(x) = . Curve B is part of the graph of a trigonometric sine curve, generally studied in a high school precalculus course. The curve shown is a portion of the graph of f(x) = cos x. Curve C is a portion of a hyperbolic cosine curve, also known as a catenary curve. Visually, we see that the curves appear to have the same basic shape. The… Expand

This article introduces a new family of curves in the plane defined by functions transforming an integer according to sums of digit-functions. These transforms of an integer N are obtained by… Expand

The catenary is a beautiful curve, with important applications in science, engineering, and architecture. In our hands-on workshops, participants build catenary arches while discovering something… Expand