Magic squares

Stapleton, H.E. The antiquity of alchemy. Ambix 5, no. 1-2 (Oct 1953) 1-43. Transmission of alchemical ideas from China Near East through Greek philosophers to Jabir. Use of magic squares... 

Stapleton, H.E. The Gnomon as a possible link between (a) one type of Mesopotamian Ziggurat and (b) the magic square numbers upon which Jabirian alchemy was based. Ambix 6, no. 1 (Aug 1957) 1-9. 

Karpenko, Vladimir. Between magic and science numerical magic squares. Ambix 40, no. 3 (Nov 1993) 121-128. 

Karpenko, Vladimir. Magic squares in European mysticism. HamdardMed 34 (1991) 39-48. 

Karpenko, Vladimir. Two thousand years of numerical magic squares. Endeavour [ns] 18 (1994) 147-153. 

Mahdihassan, S. The earliest magic square as used by Jabir ibn Hayyan. Sci Tech Islamic Worlds, no. 1 (1990) 33-39. 

Mahdihassan, S. Jabir s magic square and the significance of its four important numbers. HamdardMed 31, no. 2 (1988) 35-40. 

Mahdihassan, S. Jabir ibn Hayyan s choice of a magic square its origin and significance. HamdardMed29, no. 4 (1986) 37-52. 

Mahdihassan, S. Jabir ibn Hayyan s Magic Square orginally designated as Venus. J Central Asia 10, no. 1 (1987) 77-87. 

Mahdihassan, S. The origin and significance of the magic square in Islamic alchemy. Proc PakAcadSci 24, no. 3 (1987) 261-275. 

Mahdihassan, S. Three phases of magic square of three. Indian J Hist Sci 25 (1990) 1-3. 

Options of data analysis can be deduced from the magic square and our notions concerning the structure. As an example let us consider the case of small-angle X-ray scattering. Here it is, in general, assumed that the structure is described by a continuous density function. Although there is no9 way back from intensity to density, there are several options for data analysis ... 

Although the results of my attempts to translate the whole text remain otherwise tenaciously devoid of any apparent sense, the format overall, now revealing his previously hidden authorship, appears to be derived from a traditional esoteric scheme unquestionably familiar to Arensberg, namely magic squares. 

The thoughtful British Occultist observes a potential risk in such endeavors obsession. At the risk of repeating myself 1 will once more earnestly caution the Student against the dangerous automatic nature of certain of the Magical Squares of the Third Book for, if left carelessly about, they are very liable to obsess sensitive persons, children, or even animals. Arensberg should have paid heed to this warning. 

My book The Zen of Magic Squares, Circles and Stars was my only one in which the publisher used a physical object, namely a plastic sliding puzzle embossed with the name of the book, to help promote the book. Simon Schuster used a similar gimmick when promoting their children s book Doctor Dan and the Bandage Man. The publisher decided to give away several Band-Aids with each copy. The publisher wired a friend at Johnson Johnson Please ship half-million Band-Aids immediately. The friend replied, Band-Aids on the way. What the hell happened to you 2 ... 

I dedicated my book Wonders of Numbers not to a person but to the Apocalyptic Magic Square in which all of its entries are prime numbers (divisible only by themselves and 1), and each row, column, and diagonal sum to 666, the Number of the Beast ... 

Hendricks, J. R. (1990) The magic tesseracts of Order 3 complete. Journal of Recreational Mathematics. 22(10) 15—26. (Discusses 4-D analogs of magic squares.)... 

A magic square is a square array of numbers — three by three, four by four, and so on — such that the sum of the numbers in any column, row, or diagonal always adds up to the same number. Place the digits from 1 through 9 into Figure 21-2 so that each row, column, and diagonal adds up to 15. 

The Maxwell relations (5.49a-d) are easy to rederive from the fundamental differential forms (5.46a-d). However, these relations are used so frequently that it is useful to employ a simple mnemonic device to recall their exact forms as needed. Sidebar 5.7 describes the thermodynamic magic square, which provides such a mnemonic for Maxwell relations and other fundamental relationships of simple (closed, single-component) systems. 

The labeled diagram shown below provides a useful thermodynamic magic square mnemonic for recalling the fundamental mathematical relationships of a closed, singlecomponent system. [This mnemonic apparently has roots going back to M. Bom (1929) or before, but its first published explication is found in F. O. Koenig. 7. Chem. Phys. 3, 29 (1935).]... 

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