paper

spherical surfaces in Euclidean space

arXiv:2006.14878

Abstract

In this paper we define -spherical surfaces as the surfaces that contain the absolute conic of the Euclidean space as a fold curve. Particular attention is paid to the surfaces with singular points of the highest order. Two classes of such surfaces, with one and two fold points, are discussed in detail. We study their properties, give their algebraic equations and visualize them with the program {\it Mathematica}.