LINEAR THREE – HELICAL SURFACES

Abstract

The paper deals with analytical representation of the linear three – helical surface, which is created by three – helical movement of the straight line. Three–helical movement is compound from three helical movements, while axis of the third helical movement screwes about axis of the second and this screwes about the first one simultaneously. Classification of these surfaces and some of their geometric properties are described. Ssurfaces are displayed in programme MAPLE.