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Polytone vs Polytope - What's the difference?

polytone | polytope |

As nouns the difference between polytone and polytope

is that polytone is a polyphonic ringtone while polytope is a finite region of n-dimensional space bounded by hyperplanes; the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, ...".

polytone

English

Noun

(en noun)
  • A polyphonic ringtone

    • polytope

    English

    (wikipedia polytope)

    Noun

    (en noun)
  • (geometry) A finite region of n -dimensional space bounded by hyperplanes; the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, ...".
  • * 1964 , , On the Number of Vertices of a Convex Polytope'', ''Canadian Journal of Mathematics , Volume XVI, Number 4, page 701,
    • As is well known, the theory of linear inequalities is closely related to the study of convex polytopes .
  • * 1998 , F. Pierrot, M. Benoit, P. Dauchez, SamoS: A Pythagorean Solution for Omnidirectional Underwater Vehicles'', Jadran Lenar I, Manfred L. Husty (editors), ''Advances in Robot Kinematics: Analysis and Control , page 220,
    • This polytope' is mapped into a Cartesian force '''polytope''' (''resp.'' torque '''polytope''') in the Cartesian space. Such a '''polytope represents the exact force (''resp. torque) that can be produced on the vehicle main body.
  • * 2006 , Rekha R. Thomas, Lectures in Geometric Combinatorics , page 27,
    • Verify the Hirsch conjecture for the 3-cube, 4-cube and any other polytope that takes your fancy.
    The Steinitz theorem is a very satisfactory understanding of the graphs of three-dimensional polytopes .

    Hyponyms

    * (geometrical figure) polygon

    References

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