Cone whose directrix is a cylindrical helix and the vertex of the directrix is: A cochleoid cone

Abstract

The paper treated a cone with a cylindrical helix as a directrix and the vertex on it. Characteristic elements of a surface formed in such way and the basis are identified, and characteristic flat intersections of planes are classified. Also considered is the potential of practical application of such cone in architecture and design.

Keywords

• cocleoid cones
• vertex on directrix
• cylindrical helix directrix