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       #Post#: 2--------------------------------------------------
       Magic Polygons
   DIR By: Dragon Hellfire
       Date: March 10, 2019, 9:47 pm
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       Magic Polygons on Wikipedia
  HTML https://en.wikipedia.org/wiki/Magic_polygon
       *These may be studied in higher dimensions, such as magic
       hypercubes
       *The most popular of these shapes is the Magic Square
  HTML https://en.wikipedia.org/wiki/Magic_square
       Definitions
       Normal: The elements of the magic polygon are consecutive
       integers starting at one.
       Magic Square Parameters
       N: The number of elements on a given axis
       s: The 'magic number', equal to (N^3 + N)/2. This is the sum of
       each row, column, and principle diagonal.
       [table]
       [tr]
       [td]N[/td]
       [td]s[/td]
       [/tr]
       [tr]
       [td]1[/td]
       [td]1[/td]
       [/tr]
       [tr]
       [td]2[/td]
       [td]5[/td]
       [/tr]
       [tr]
       [td]3[/td]
       [td]15[/td]
       [/tr]
       [tr]
       [td]4[/td]
       [td]34[/td]
       [/tr]
       [tr]
       [td]5[/td]
       [td]65[/td]
       [/tr]
       [tr]
       [td]6[/td]
       [td]111[/td]
       [/tr]
       [tr]
       [td]7[/td]
       [td]175[/td]
       [/tr]
       [tr]
       [td]8[/td]
       [td]260[/td]
       [/tr]
       [tr]
       [td]9[/td]
       [td]369[/td]
       [/tr]
       [/table]
       History of Magic Squares
       (1) First mentioned in a Chinese manuscript around 2200 B.C.
       Thought to be independently developed and studied across
       cultures (?)
       (2) Albrecht Durer created a notable magic square (pictured
       below) in 1514 which contained the year across the bottom.
  HTML https://i.imgur.com/fe0i9Vp.gif
       (3) In 1693 all 880 normal magic squares with N=4 were published
       in Des quarrez ou tables magiques
  HTML https://www.worldcat.org/title/des-quarrez-sic-ou-tables-magiques/oclc/490441998<br
       />by Bernard Frenicle de Bessy.
       (4) In 1769 Benjamin Franklin describes his own magic square
       with many interesting symmetries.
       Research
       Prajapati, Ramashankar & JAIN, JAYESH. (2017). A STUDY ON MAGIC
       SQUARES.
  HTML https://www.researchgate.net/publication/315457341_A_STUDY_ON_MAGIC_SQUARES
       My Magic Squares
       (1) This is my 2019 magic square with N=5, in the style of
       Albrecht Durer.
  HTML https://imgur.com/tEEL2ga.gif
       #Post#: 4--------------------------------------------------
       Re: Magic Polygons
   DIR By: Dragon Hellfire
       Date: March 10, 2019, 10:22 pm
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       All N=3 Normal Magic Squares
  HTML https://i.imgur.com/GzW6elK.gif
       Rotate by 90, 180, or 270 degrees to obtain four solutions.
       Each of these solutions may have their columns/rows that do not
       contain 1 (or 9) permuted to obtain another solution.
       4x2=8 total solutions
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