Space cardioid

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]

X ( t ) = ( ( 1 − cos ⁡ ( t ) ) cos ⁡ ( t ) , ( 1 − cos ⁡ ( t ) ) sin ⁡ ( t ) , sin ⁡ ( t ) ) {\displaystyle X(t)=((1-\cos(t))\cos(t),(1-\cos(t))\sin(t),\sin(t))\,}

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


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