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  2. Template:Figurate numbers - Wikipedia

    en.wikipedia.org/wiki/Template:Figurate_numbers

    To change this template's initial visibility, the |state= parameter may be used: {{ Figurate numbers | state = collapsed }} will show the template collapsed, i.e. hidden apart from its title bar. {{ Figurate numbers | state = expanded }} will show the template expanded, i.e. fully visible.

  3. Figurate number - Wikipedia

    en.wikipedia.org/wiki/Figurate_number

    a number represented as a discrete r-dimensional regular geometric pattern of r-dimensional balls such as a polygonal number (for r = 2) or a polyhedral number (for r = 3). a member of the subset of the sets above containing only triangular numbers, pyramidal numbers , and their analogs in other dimensions.

  4. Polygonal number - Wikipedia

    en.wikipedia.org/wiki/Polygonal_number

    In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon [1]: 2-3 . These are one type of 2-dimensional figurate numbers . Polygonal numbers were first studied during the 6th century BC by the Ancient Greeks, who investigated and discussed properties of oblong , triangular , and square numbers ...

  5. Octagonal number - Wikipedia

    en.wikipedia.org/wiki/Octagonal_number

    In mathematics, an octagonal number is a figurate number. The nth octagonal number o n is the number of dots in a pattern of dots consisting of the outlines of regular octagons with sides up to n dots, when the octagons are overlaid so that they share one vertex. The octagonal number for n is given by the formula 3n 2 − 2n, with n > 0. The ...

  6. Category:Figurate numbers - Wikipedia

    en.wikipedia.org/wiki/Category:Figurate_numbers

    Print/export Download as PDF; Printable version; In other projects ... This category includes not only articles about certain types of figurate numbers, ...

  7. Tetrahedral number - Wikipedia

    en.wikipedia.org/wiki/Tetrahedral_number

    Number of gifts of each type and number received each day and their relationship to figurate numbers. Te 12 = 364 is the total number of gifts "my true love sent to me" during the course of all 12 verses of the carol, "The Twelve Days of Christmas". [3] The cumulative total number of gifts after each verse is also Te n for verse n.