Loxodromes on helicoidal surfaces and tubes with variable radius in E⁴

Abstract

In this paper, we generalize the equations of loxodromes on helicoidal surfaces and canal surfaces in E^3 to the case of 4-dimension (E^4). Also we give some examples via Mathematica.

Keywords

• Loxodrome,helicoidal surface,tube with variable radius,Euclidean 4-space

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