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
^ 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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