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Sallows is an expert on the theory of magic squares [1] and has invented several variations on them, including alphamagic squares [2] [3] and geomagic squares. [4] The latter invention caught the attention of mathematician Peter Cameron who has said that he believes that "an even deeper structure may lie hidden beyond geomagic squares" [5]
Bordered magic square when it is a magic square and it remains magic when the rows and columns on the outer edge are removed. They are also called concentric bordered magic squares if removing a border of a square successively gives another smaller bordered magic square. Bordered magic square do not exist for order 4.
A geometric magic square, often abbreviated to geomagic square, is a generalization of magic squares invented by Lee Sallows in 2001. [1] A traditional magic square is a square array of numbers (almost always positive integers) whose sum taken in any row, any column, or in either diagonal is the same target number.
Early records dated to 650 BCE are ambiguous, referring to a "river map", but clearly start to refer to a magic square by 80 CE, and explicitly give an example of one since 570 CE. [2] [3] Recent publications have provided support that the Lo Shu Magic Square was an important model for time and space.
The Sator Square (or Rotas-Sator Square or Templar Magic Square) is a two-dimensional acrostic class of word square containing a five-word Latin palindrome. [1] The earliest squares were found at Roman-era sites, all in ROTAS-form (where the top line is "ROTAS", not "SATOR"), with the earliest discovery at Pompeii (and also likely pre-AD 62).
[1] [14] Magic squares remained an interest of China, and they began to generalize their original square between 900 and 1300 AD. China corresponded with the Middle East about this problem in the 13th century. [1]
Dylan Leigh via UnsplashIt was hard to imagine even a decade ago that mainstream scientists would be prescribing hallucinogenic drugs to help treat mood disorders like depression. But after ...
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