What's the difference between
and
Enter two words to compare and contrast their definitions, origins, and synonyms to better understand how those words are related.

Polytope vs Complex - What's the difference?

polytope | complex |

In geometry|lang=en terms the difference between polytope and complex

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 complex is (geometry) a curve, polygon or other figure that crosses or intersects itself.

As nouns the difference between polytope and complex

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 complex is a problem.

As an adjective complex is

made up of multiple parts; composite; not simple.

As a verb complex is

(chemistry|intransitive) to form a complex with another substance.

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

    ----

    complex

    English

    (wikipedia complex)

    Adjective

    (complex number) (en adjective)
  • Made up of multiple parts; composite; not simple.
    • a complex''' being; a '''complex idea
  • * John Locke
    • Ideas thus made up of several simple ones put together, I call complex ; such as beauty, gratitude, a man, an army, the universe.
  • Not simple, easy, or straightforward; complicated.
  • * Whewell
    • When the actual motions of the heavens are calculated in the best possible way, the process is difficult and complex .
  • (mathematics) Of a number, of the form a + bi'', where ''a'' and ''b'' are real numbers and ''i is a square root of −1.
    • complex function
  • (geometry) A curve, polygon or other figure that crosses or intersects itself.

    • Synonyms

    * (not simple) complicated, detailed, difficult, hard, intricate, involved, tough

    Antonyms

    * (not simple) basic, easy, simple, straightforward

    Derived terms

    * complexity * complexness

    Related terms

    * complexion * (mathematics) symplectic

    Noun

  • A problem.
  • A collection of buildings with a common purpose, such as a university or military base.
  • Assemblage of related things; collection.
  • * South
    • This parable of the wedding supper comprehends in it the whole complex of all the blessings and privileges exhibited by the gospel.
  • A psychological dislike or fear of a particular thing.
  • An organized cluster of thunderstorms.
  • (chemistry) A structure consisting of a central atom or molecule weakly connected to surrounding atoms or molecules.
  • * {{quote-magazine, year=2013, month=September-October, author= Katie L. Burke
    • , magazine=(American Scientist), title= In the News , passage=Oxygen levels on Earth skyrocketed 2.4 billion years ago, when cyanobacteria evolved photosynthesis:

    Derived terms

    * military-entertainment complex * military-industrial complex * Oedipus complex * prison-industrial complex * vitamin B complex * protein complex * chelate complex

    Verb

    (es)
  • (chemistry) To form a complex with another substance

    • External links

    * * English heteronyms ----