Space cardioid

From HandWiki
A space cardioid introduction at Georgia Tech

The space cardioid is a 3-dimensional curve derived from the cardioid. It has a parametric representation using trigonometric functions, as follows:[1] [math]\displaystyle{ X(t) = ((1- \cos(t))\cos(t), (1- \cos(t))\sin(t), \sin(t)) \, }[/math]

References

  1. Steeb, Willi-hans (2017), "Problem 44", Problems And Solutions In Differential Geometry, Lie Series, Differential Forms, Relativity And Applications, World Scientific Publishing Company, p. 61, ISBN 9789813230842, https://books.google.com/books?id=BbdQDwAAQBAJ&pg=PA61