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Dimension vs Cantellation - What's the difference?

dimension | cantellation |

As nouns the difference between dimension and cantellation

is that dimension is dimension while cantellation is (geometry) an operation in any dimension that cuts a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.

dimension

Noun

(en noun)
  • A single aspect of a given thing.
  • A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.
  • * {{quote-magazine, date=2012-01
  • , author=Robert L. Dorit , title=Rereading Darwin , volume=100, issue=1, page=23 , magazine= citation , passage=We live our lives in three dimensions for our threescore and ten allotted years. Yet every branch of contemporary science, from statistics to cosmology, alludes to processes that operate on scales outside of human experience: the millisecond and the nanometer, the eon and the light-year.}}
  • A construct whereby objects or individuals can be distinguished.
  • (geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
  • (linear algebra) The number of elements of any basis of a vector space.
  • (physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.
  • The dimension of velocity is length divided by time.
  • (computing) Any of the independent ranges of indices in a multidimensional array.
  • (science fiction, fantasy) An alternative universe or plane of existence.
  • Synonyms

    * (single aspect of a thing ): aspect * (measure of spatial extent ): magnitude, proportion, size, scope * (construct whereby objects or individuals can be distinguished ): attribute, property

    Derived terms

    * * * * correlation dimension * dimensional * dimensional analysis * dimensional shingle * exterior dimension * four-dimensional * fourth dimension * fractal dimension * Hamel dimension * Hausdorff dimension * information dimension * isoperimetric dimension * Kaplan-Yorke dimension * Krull dimension * Lebesgue covering dimension * Lyapunov dimension * multidimensional * one-dimensional * pointwise dimension * poset dimension * q-dimension * third dimension * three-dimensional * transdimensional

    Verb

    (en verb)
  • To mark, cut or shape something to specified dimensions.
  • cantellation

    English

    Noun

    (-) (wikipedia cantellation)
  • (geometry) An operation in any dimension that cuts a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.