surface suivante | surface précédente | courbes 2D | courbes 3D | surfaces | fractals | polyèdres |

SECOND TRACTROID

Surface proposed by Ludovic Schwob. |

Cylindrical parametrization : .
Infimite area. Volume of the domain limited by the plane z =
0 : where
K
is the Catalan's
constant. |

The second tractroid is the surface of revolution generated
by the rotation of the tractrix
around its axis of symmetry (the first

tractroid, rather called pseudosphere,
being obtained by rotation of the tractrix around its asymptote).

As seen above, the area of the total surface is infinite, but the volume of the domain bounded by the surface and its asymptote plane is finite. |

See also the Gabriel's
horn.

surface suivante | surface précédente | courbes 2D | courbes 3D | surfaces | fractals | polyèdres |

© Robert FERRÉOL
2022