The helix .
r(t)=< 2 cos(2t), 2 sin(2t), t >, 0 ≤ t ≤ 2π - Red: unit tangent vector,
**T**(t) - Green: unit normal vector,
**N**(t) - Blue: unit binormal vector,
**B**(t)
(Repeating in an endless loop.) | |

The helix .
r(t)=< 2 cos(2t), 2 sin(2t), t >, 0 ≤ t ≤ 2π - Red: unit tangent vector,
**T**(t) - Green: unit normal vector,
**N**(t) - Blue: unit binormal vector,
**B**(t) - Yellow: Osculating Circle
(Repeating in an endless loop.) | |

The elliptical helix .
r(t)=< 4 cos(2t), 2 sin(2t), t >, 0 ≤ t ≤ 2π - Red: unit tangent vector,
**T**(t) - Green: unit normal vector,
**N**(t) - Blue: unit binormal vector,
**B**(t) - Yellow: Osculating Circle
(Repeating in an endless loop.) | |

The "tornado" .
r(t)=< 2t cos(10πt), 2t sin(10πt), t >, 0 ≤ t ≤ 1 - Yellow: Osculating Circle
(Repeating in an endless loop.) | |

The "spiral" .
r(t)=< e^{-t} cos(t), e^{-t} sin(t), e^{-t} >, 0 ≤ t ≤ 2π - Yellow: Osculating Circle
(Repeating in an endless loop.) | |

The "twisted cubic" .
r(t)=< t, t^{2}, t^{3} >, -1 ≤ t ≤ 1; - Red: unit tangent vector,
**T**(t) - Green: unit normal vector,
**N**(t) - Blue: unit binormal vector,
**B**(t) - Yellow: Osculating Circle
(Repeating in an endless loop.) |