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Concept information

... > mathematical analysis > calculus > sequence > integer sequence > figurate number > centered polygonal numbers > centered hexagonal number
number > natural numbers > figurate number > centered polygonal numbers > centered hexagonal number

Preferred term

centered hexagonal number  

Definition

  • In mathematics and combinatorics, a centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice. The following figures illustrate this arrangement for the first four centered hexagonal numbers:
    1 7 19 37
    +1 +6 +12 +18
    * * *
    * * *
    * *     		* * *
    * * * *
    * * * * *
    * * * *
    * * *     		* * * *
    * * * * *
    * * * * * *
    * * * * * * *
    * * * * * *
    * * * * *
    * * * *

    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Centered_hexagonal_number)

Broader concept

Synonym(s)

  • hex number

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-X1GGR7CS-G

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