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Polytope vs Polytype - What's the difference?

polytope | polytype |

As nouns the difference between polytope and polytype

is that polytope is (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, " while polytype is any of the types involved in polytypism.

As a verb polytype is

to produce a polytype of.

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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    polytype

    English

    Noun

    (en noun)
  • Any of the types involved in polytypism.
    • Orthochrysotile is a polytype of chrysotile.
  • A cast, or facsimile copy, of an engraved block, matter in type, etc.
  • * Hansard
    • By pressing the wood cut into semifluid metal, an intaglio matrix is produced: and from this matrix, in a similar way, a polytype in relief is obtained.

    Verb

    (polytyp)
  • To produce a polytype of.
    • to polytype an engraving