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Lee Sallows

December 07, 2023

Lee Cecil Fletcher Sallows (born April 30, 1944) is a British electronics engineer known for his contributions to recreational mathematics. He is particularly noted as the inventor of golygons, self-enumerating sentences, and geomagic squares.

Lee Sallows
BornApril 30, 1944 (1944-04-30) (age 79)
Welwyn, Hertfordshire
NationalityEnglish
Known forGolygons
Alphamagic squares
Geometric magic squares
Self-tiling tile sets
Self-enumerating sentences
Scientific career
FieldsRecreational mathematics

Recreational mathematics edit

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]

In "The lost theorem" published in 1997 he showed that every 3 × 3 magic square is associated with a unique parallelogram on the complex plane, a discovery that had escaped all previous researchers from ancient times down to the present day.[6] In 2014 Sallows discovered a previously unnoticed result involving the medians of a triangle.[7]

A golygon is a polygon containing only right angles, such that adjacent sides exhibit consecutive integer lengths. Golygons were invented and named by Sallows[8] and introduced by A.K. Dewdney in the Computer Recreations column of the July 1990 issue of Scientific American.[9]

In 2012 Sallows invented and named self-tiling tile sets—a new generalization of rep-tiles.[10]

 
One of Sallows's geomagic squares

Personal life edit

Lee Sallows is the only son of Florence Eliza Fletcher and Leonard Gandy Sallows. He was born on 30 April 1944 at Brocket Hall in Hertfordshire, England, and grew up in the district of Upper Clapton in northeast London. Sallows attended Dame Alice Owen's School, then located at The Angel, Islington, but failed to settle in and was without diplomas when he left at age 17. Knowledge gained via interest in short-wave radio enabled him to find work as a technician within the electronics industry. In 1970 he moved to Nijmegen in the Netherlands, where until 2009, he worked as an electronic engineer at Radboud University. In 1975 Sallows met up with his Dutch partner Evert Lamfers, a cardiologist,[11] with whom he has lived ever since.

Bibliography edit

  • 2014 Sallows, Lee "More On Self-tiling Tile Sets", Mathematics Magazine, April 2014
  • 2012 Sallows, Lee. "On Self-Tiling Tile Sets", Mathematics Magazine, December, 2012
  • 2012 "Geometric Magic Squares: A Challenging New Twist Using Colored Shapes Instead of Numbers", Dover Publications, ISBN 0486489094
  • 1997 "The Lost Theorem", The Mathematical Intelligencer 1997 19; 4: 51–54.
  • 1995 "The Impossible Problem", The Mathematical Intelligencer 1995 17; 1: 27–33.
  • 1994 "Alphamagic Squares", In: The Lighter Side of Mathematics pp 305–39, Edited by R.K. Guy and R.E. Woodrow, pub. by The Mathematical Association of America, 1994, ISBN 0-88385-516-X
  • 1992 Sallows, Lee (1992). "New pathways in serial isogons". The Mathematical Intelligencer. 14 (2): 55–67. doi:10.1007/BF03025216. S2CID 121493484.
  • 1991 Sallows, Lee; Gardner, Martin; Guy, Richard K.; Knuth, Donald (1991). "Serial isogons of 90 degrees". Mathematics Magazine. 64 (5): 315–324. doi:10.2307/2690648. JSTOR 2690648.
  • 1990 "A Curious New Result in Switching Theory", The Mathematical Intelligencer 1990; 12: 21–32.
  • 1987 "In Quest of a Pangram", In: A Computer Science Reader, pp 200–20, Edited by EA Weiss, Springer-Verlag, New York, ISBN 0-387-96544-0
  • 1986 "Co-Descriptive Strings", (Lee Sallows & Victor L Eijkhout), Mathematical Gazette 1986; 70: 1–10

References edit

  1. ^ Magic Square Update-2009, September 6, 2009
  2. ^ alphamagic square 2017-10-10 at the Wayback Machine, Encyclopedia of Science
  3. ^ excerpt from Word Play by Martin Gardner
  4. ^ Magic squares are given a whole new dimension, The Observer, April 3, 2011
  5. ^ Ancient puzzle gets new lease of 'geomagical' life, New Scientist, January 24, 2011
  6. ^ The lost theorem In The Mathematical Intelligencer, Fall 1997, Vol 19, Issue 4, pp 51-54
  7. ^ Sallows, Lee, "A Triangle Theorem" Mathematics Magazine, Vol. 87, No. 5 (December 2014), p. 381
  8. ^ Serial isogons of 90 degrees, by Lee Sallows, Martin Gardner, Richard Guy, and Donald Knuth, Mathematics Magazine, Vol. 64, No. 5, December, 1991
  9. ^ . Archived from the original on October 27, 2009. Retrieved 2010-10-08.{{cite web}}: CS1 maint: bot: original URL status unknown (link)
  10. ^ On Self-Tiling Tile Sets, by Lee Sallows,, Mathematics Magazine, Vol. 85, No. 5, December 2012
  11. ^ Farewell to cardiologist Evert Lamfers

External links edit

  • Official website

December 07, 2023
sallows, cecil, fletcher, sallows, born, april, 1944, british, electronics, engineer, known, contributions, recreational, mathematics, particularly, noted, inventor, golygons, self, enumerating, sentences, geomagic, squares, bornapril, 1944, 1944, welwyn, hert. Lee Cecil Fletcher Sallows born April 30 1944 is a British electronics engineer known for his contributions to recreational mathematics He is particularly noted as the inventor of golygons self enumerating sentences and geomagic squares Lee SallowsBornApril 30 1944 1944 04 30 age 79 Welwyn HertfordshireNationalityEnglishKnown forGolygons Alphamagic squares Geometric magic squares Self tiling tile sets Self enumerating sentencesScientific careerFieldsRecreational mathematics Contents 1 Recreational mathematics 2 Personal life 3 Bibliography 4 References 5 External linksRecreational mathematics editSallows 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 In The lost theorem published in 1997 he showed that every 3 3 magic square is associated with a unique parallelogram on the complex plane a discovery that had escaped all previous researchers from ancient times down to the present day 6 In 2014 Sallows discovered a previously unnoticed result involving the medians of a triangle 7 A golygon is a polygon containing only right angles such that adjacent sides exhibit consecutive integer lengths Golygons were invented and named by Sallows 8 and introduced by A K Dewdney in the Computer Recreations column of the July 1990 issue of Scientific American 9 In 2012 Sallows invented and named self tiling tile sets a new generalization of rep tiles 10 nbsp One of Sallows s geomagic squaresPersonal life editLee Sallows is the only son of Florence Eliza Fletcher and Leonard Gandy Sallows He was born on 30 April 1944 at Brocket Hall in Hertfordshire England and grew up in the district of Upper Clapton in northeast London Sallows attended Dame Alice Owen s School then located at The Angel Islington but failed to settle in and was without diplomas when he left at age 17 Knowledge gained via interest in short wave radio enabled him to find work as a technician within the electronics industry In 1970 he moved to Nijmegen in the Netherlands where until 2009 he worked as an electronic engineer at Radboud University In 1975 Sallows met up with his Dutch partner Evert Lamfers a cardiologist 11 with whom he has lived ever since Bibliography edit2014 Sallows Lee More On Self tiling Tile Sets Mathematics Magazine April 2014 2012 Sallows Lee On Self Tiling Tile Sets Mathematics Magazine December 2012 2012 Geometric Magic Squares A Challenging New Twist Using Colored Shapes Instead of Numbers Dover Publications ISBN 0486489094 1997 The Lost Theorem The Mathematical Intelligencer 1997 19 4 51 54 1995 The Impossible Problem The Mathematical Intelligencer 1995 17 1 27 33 1994 Alphamagic Squares In The Lighter Side of Mathematics pp 305 39 Edited by R K Guy and R E Woodrow pub by The Mathematical Association of America 1994 ISBN 0 88385 516 X 1992 Sallows Lee 1992 New pathways in serial isogons The Mathematical Intelligencer 14 2 55 67 doi 10 1007 BF03025216 S2CID 121493484 1991 Sallows Lee Gardner Martin Guy Richard K Knuth Donald 1991 Serial isogons of 90 degrees Mathematics Magazine 64 5 315 324 doi 10 2307 2690648 JSTOR 2690648 1990 A Curious New Result in Switching Theory The Mathematical Intelligencer 1990 12 21 32 1987 In Quest of a Pangram In A Computer Science Reader pp 200 20 Edited by EA Weiss Springer Verlag New York ISBN 0 387 96544 0 1986 Co Descriptive Strings Lee Sallows amp Victor L Eijkhout Mathematical Gazette 1986 70 1 10References edit Magic Square Update 2009 September 6 2009 alphamagic square Archived 2017 10 10 at the Wayback Machine Encyclopedia of Science excerpt from Word Play by Martin Gardner Magic squares are given a whole new dimension The Observer April 3 2011 Ancient puzzle gets new lease of geomagical life New Scientist January 24 2011 The lost theorem In The Mathematical Intelligencer Fall 1997 Vol 19 Issue 4 pp 51 54 Sallows Lee A Triangle Theorem Mathematics Magazine Vol 87 No 5 December 2014 p 381 Serial isogons of 90 degrees by Lee Sallows Martin Gardner Richard Guy and Donald Knuth Mathematics Magazine Vol 64 No 5 December 1991 What is a Golygon Archived from the original on October 27 2009 Retrieved 2010 10 08 a href Template Cite web html title Template Cite web cite web a CS1 maint bot original URL status unknown link On Self Tiling Tile Sets by Lee Sallows Mathematics Magazine Vol 85 No 5 December 2012 Farewell to cardiologist Evert LamfersExternal links editOfficial website Retrieved from https en wikipedia org w index php title Lee Sallows amp oldid 1178472433, wikipedia, wiki, book, books, library,

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