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  2. Moessner's theorem - Wikipedia

    en.wikipedia.org/wiki/Moessner's_theorem

    In number theory, Moessner's theorem or Moessner's magic [1] is related to an arithmetical algorithm to produce an infinite sequence of the exponents of positive integers ,,,, , with , by recursively manipulating the sequence of integers algebraically.

  3. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/...

    In mathematics, the infinite series ⁠ 1 / 2 ⁠ + ⁠ 1 / 4 ⁠ + ⁠ 1 / 8 ⁠ + ⁠ 1 / 16 ⁠ + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.

  4. Magic series - Wikipedia

    en.wikipedia.org/wiki/Magic_series

    So, in an n × n magic square using the numbers from 1 to n 2, a magic series is a set of n distinct numbers adding up to n(n 2 + 1)/2. For n = 2, there are just two magic series, 1+4 and 2+3. The eight magic series when n = 3 all appear in the rows, columns and diagonals of a 3 × 3 magic square. Maurice Kraitchik gave the number of magic ...

  5. Magic circle (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Magic_circle_(mathematics)

    Each group occupies the radial position corresponding to the number on the Luoshu magic square, i.e., group 1 at 1 position, group 2 at 2 position etc. Finally arrange center group at the center circle, such that; number 5 on group 1 radial number 10 on group 2 radial number 15 on group 3 radial... number 45 on group 9 radial

  6. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

  7. Mathemagician - Wikipedia

    en.wikipedia.org/wiki/Mathemagician

    Mathematics, Magic and Mystery, Dover, 1956. ISBN 0-486-20335-2; Graham, Ron. Juggling Mathematics and Magic University of California, San Diego; Teixeira, Ricardo & Park, Jang Woo. Mathemagics: A Magical Journey Through Advanced Mathematics, Connecting More Than 60 Magic Tricks to High-Level Math World Scientific, 2020. ISBN 978-9811215308.

  8. Most-perfect magic square - Wikipedia

    en.wikipedia.org/wiki/Most-perfect_magic_square

    A most-perfect magic square of order n is a magic square containing the numbers 1 to n 2 with two additional properties: Each 2 × 2 subsquare sums to 2 s , where s = n 2 + 1. All pairs of integers distant n /2 along a (major) diagonal sum to s .

  9. Magic hexagon - Wikipedia

    en.wikipedia.org/wiki/Magic_hexagon

    The first was a magic T-hexagon of order 2, discovered by John Baker on 13 September 2003. Since that time, John has been collaborating with David King, who discovered that there are 59,674,527 non-congruent magic T-hexagons of order 2. Magic T-hexagons have a number of properties in common with magic squares, but they also have their own ...