The length of the de Rham curve
The de Rham curve is the limit of a sequence of polygons depending on a parameter \(\gamma\). Starting from a simple polygon, say, a triangle, then the points dividing in three parts the sides of the first polygon are the vertices of the next polygon; and so on. The three parts have lengths proportional to \(1, \gamma, 1\). The paper is concerned with computing the length \(L\) of the de Rham curve. Several limiting sequences related with \(L\) are considered.
scientific article; zbMATH DE number 1215669