The Width of a Rose Petal

Abstract

Don't hurry, don't worry. You're only here for a short visit. So be sure to stop and smell the (cf. [1]). Roses are a beautiful class of polar graphs too often passed by too quickly for lack of an interesting remark. (However, see [2] for a thorough discussion of roses and computer graphics.) We investigate three aspects of the famous cosine roses r= cos nO, n = 2,3,4, ..., (1) and two generalizations: the wonderful yet less well-known double roses r=a+bcosnO, n=2,3,4, ..., O 0, (3)