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Body with handles

A body with three arms or a body of genus three.

Body with handles - a body in three-dimensional Euclidean space bounded by a closed surface.

The genus of a body with handles is defined as the genus of its bounding surface.

Examples

  •  

    Kindg=one {\ displaystyle g = 1}   : Solid thorium

  •  

    Kindg=2 {\ displaystyle g = 2}   : Pretzel

  •  

    Kindg=3 {\ displaystyle g = 3}  

See also

  • Hegor's smash

Literature

  • Fomenko A.T. Visual geometry and topology - M., 1992.
  • Fomenko A. T., Fuchs D. B. Course of homotopy topology. - M .: Nauka, 1989.
Source - https://ru.wikipedia.org/w/index.php?title= Body_ with_handles&oldid = 97507873


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Clever Geek | 2019