The tangent indicatrix, also called the tantrix, of a closed curve 
on the unit sphere 
with nonvanishing speed is defined
by
 |
It is another closed curve on 
.
If 
immerses in 
, then so will 
.
Tangent Indicatrix
See also
Spherical IndicatrixExplore with Wolfram|Alpha
References
Solomon, B. "Tantrices of Spherical Curves." Amer. Math. Monthly 103, 30-39, 1996.Referenced on Wolfram|Alpha
Tangent IndicatrixCite this as:
Weisstein, Eric W. "Tangent Indicatrix." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TangentIndicatrix.html