{{Short description|British mathematician (1916–2020)}} {{redirect|Richard Guy|other people named Richard Guy|Richard Guy (disambiguation)}} {{Use British English|date=June 2017}} {{Use dmy dates|date=March 2020}} {{Infobox scientist | name = Richard K. Guy | birth_name = Richard Kenneth Guy | image = Richard K Guy 2005.jpg | image_size = 250px | caption = Guy in 2005 | birth_date = {{birth date|df=yes|1916|9|30}} | birth_place = Nuneaton, England | residence = | death_date = {{death date and age|df=yes|2020|3|9|1916|9|30}} | death_place =Calgary, Alberta, Canada | field = Mathematics | work_institutions = University of Calgary | alma_mater = Gonville and Caius College, Cambridge<br>(B.A. in 1938, M.A. in 1941) | doctoral_advisor = | doctoral_students = | thesis_title = | thesis_url = | thesis_year = | known_for = Recreational mathematics<br>Strong law of small numbers<br>Unistable polyhedron | prizes = Lester R. Ford Award (1989) | footnotes = | website = {{URL|https://science.ucalgary.ca/mathematics-statistics/about/richard-guy}} }} '''Richard Kenneth Guy''' (30 September 1916 – 9 March 2020) was a British mathematician. He was a professor in the Department of Mathematics at the University of Calgary.<ref>Albers & Alexanderson (2011) p. 320</ref> He is known for his work in number theory, geometry, recreational mathematics, combinatorics, and graph theory.<ref>MMA (2016)</ref><ref>Author biography from ''Winning Ways for your Mathematical Plays'', Vol. I, 2nd ed., AK Peters, 2001.</ref> He is best known for co-authorship (with John Conway and Elwyn Berlekamp) of ''Winning Ways for your Mathematical Plays'' and authorship of ''Unsolved Problems in Number Theory''.<ref>Roberts (2016)</ref> He published more than 300 scholarly articles.<ref>Scott (2012) p. 29</ref> Guy proposed the partially tongue-in-cheek "strong law of small numbers", which says there are not enough small integers available for the many tasks assigned to them – thus explaining many coincidences and patterns found among numerous cultures.<ref>{{Cite journal |last=Guy |first=Richard K. |author-link=Richard K. Guy |date=October 1988 |title=The Strong Law of Small Numbers |journal=Am. Math. Mon. |volume=95 |issue=8 |pages=697–712 |issn=0002-9890 |doi=10.2307/2322249 |url=http://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/Guy697-712.pdf |jstor=2322249 |archive-date=10 October 2015 |access-date=30 September 2016 |archive-url=https://web.archive.org/web/20151010030555/http://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/Guy697-712.pdf |url-status=dead }}</ref> For this paper he received the MAA Lester R. Ford Award.<ref>MMA (2016)</ref>

==Biography==

===Early life=== Guy was born 30 September 1916 in Nuneaton, Warwickshire, England, to Adeline Augusta Tanner and William Alexander Charles Guy. Both of his parents were teachers, rising to the rank of headmistress and headmaster, respectively. He attended Warwick School for Boys, the third oldest school in Britain, but was not enthusiastic about most of the curriculum. He was good at sports and excelled in mathematics. At the age of 17 he read Dickson's ''History of the Theory of Numbers''. He said it was better than "the whole works of Shakespeare", solidifying his lifelong interest in mathematics.<ref>Scott (2012) p. 6</ref>

In 1935 Guy entered Gonville and Caius College, Cambridge, as a result of winning several scholarships. To win the most important of these he had to travel to Cambridge and write exams for two days. His interest in games began while at Cambridge where he became an avid composer of chess problems.<ref>Roberts (2016)</ref> In 1938, he was graduated with a second-class honours degree; he would later state that his failure to get a first may have been related to his obsession with chess.<ref>Albers & Alexanderson (2011) p. 169</ref> Although his parents strongly advised against it, Guy decided to become a teacher and got a teaching diploma at the University of Birmingham. He met his future wife, Nancy Louise Thirian, through her brother Michael, who was a fellow scholarship winner at Gonville and Caius. He and Louise shared loves of mountain climbing and dancing. They married in December 1940.

===War years=== In November 1942, Guy received an emergency commission in the Meteorological Branch of the Royal Air Force, with the rank of flight lieutenant.<ref>{{London Gazette|issue=35894 |supp=y|page=707|date=5 February 1943}}</ref> He was posted to Reykjavík, and later to Bermuda, as a meteorologist. He tried to get permission for Louise to join him but was refused. While in Iceland, he did some glacier travel, skiing, and mountain climbing, marking the beginning of another long love affair, this one with snow and ice.<ref>Scott (2012) p. 29: Richard has often told me that he has had three loves in his life: Louise and mountains of course are two of them, but his first love was mathematics.</ref> When Guy returned to England after the war, he went back to teaching, this time at Stockport Grammar School, but stayed only two years. In 1947 the family moved to London, where he got a job teaching mathematics at Goldsmiths' College.<ref>Scott (2012) p. 11</ref>

===Later life and death===

In 1951 he moved to Singapore, where he taught at the University of Malaya until 1962. He then spent a few years at the Indian Institute of Technology in Delhi, India. While they were in India, he and Louise went mountaineering in the foothills of the Himalayas.<ref>Guiltenane (2016)</ref> Guy moved to Canada in 1965, settling down at the University of Calgary in Alberta, where he obtained a professorship.<ref>University of Calgary (2016)</ref><ref>Roberts (2016)</ref> Although he officially retired in 1982, he still went to the office five days a week to work, even as he passed the age of 100.<ref>Guiltenane (2016): Guy has said, "I didn't retire, they just stopped paying me."</ref> Along with George Thomas and John Selfridge, Guy taught at Canada/USA Mathcamp during its early years.<ref>{{citation|author=Siobahn Roberts|work=Finding Nirvana in Numbers|title=Profile of Scott Aaronson|publisher=Simons Foundation|year=2010|url=https://www.simonsfoundation.org/2010/12/21/finding-nirvana-in-numbers/#1|access-date=13 March 2020}}</ref>

In 1991 the University of Calgary awarded him an honorary doctorate. Guy said that they gave him the degree out of embarrassment, although the university stated that "his extensive research efforts and prolific writings in the field of number theory and combinatorics have added much to the underpinnings of game theory and its extensive application to many forms of human activity."<ref>Scott (2012) p. 31</ref> Guy and his wife Louise (who died in 2010) remained very committed to mountain hiking and environmentalism even in their later years. In 2014, he donated $100,000 to the Alpine Club of Canada for the training of amateur leaders.<ref>Scott (2012) p. 39</ref> In turn, the Alpine Club has honoured them by building the ''Louise and Richard Guy Hut'' near the base of Mont des Poilus.<ref>{{cite web|url=http://www.alpineclubofcanada.ca/blog/the-richard-louise-guy-hut/|title=Introducing the Louise & Richard Guy Hut|author=((Alpine Club of Canada))|date=30 October 2014|archive-url=https://web.archive.org/web/20161011035113/http://www.alpineclubofcanada.ca/blog/the-richard-louise-guy-hut/| archive-date=11 October 2016}}</ref> They had three children, among them computer scientist and mathematician Michael J. T. Guy.

Guy died on 9 March 2020 at the age of 103.<ref>{{cite web | url = https://science.ucalgary.ca/mathematics-statistics/about/richard-guy | title = Remembering Richard Guy: 1916-2020 | publisher = University of Calgary | date = 10 March 2020 | access-date =10 March 2020 }}</ref><ref>{{cite web|title=Canadian Climbing Legend Richard Guy Dies at 103|url=https://gripped.com/news/canadian-climbing-legend-richard-guy-dies-at-103/|website=Gripped|date=10 March 2020}}</ref>

==Mathematics== {{quote box|align=right|width=33% |quote= I love mathematics so much, and I love anybody who can do it well, so I just like to hang on and try to copy them as best I can, even though I'm not really in their league.<ref>Roberts (2016) p.30</ref> |source= – R. K. Guy}}

While teaching in Singapore in 1960 Guy met the Hungarian mathematician Paul Erdős. Erdős was noted for posing and solving difficult mathematical problems and shared several of them with Guy.<ref>Roberts (2016)</ref> Guy later recalled "I made some progress in each of them. This gave me encouragement, and I began to think of myself as possibly being something of a research mathematician, which I hadn't done before."<ref>Albers & Alexanderson (2011) p. 176</ref> Eventually he wrote four papers with Erdős, giving him an Erdős number of 1,<ref>[https://files.oakland.edu/users/grossman/enp/Erdos0.html Coauthors of Paul Erdos]</ref> and solved one of Erdős' problems.<ref name="Edmonton Journal 2010 v869">{{cite web | title=Math genius left unclaimed sum | website=Edmonton Journal | last=Wittmeier|first=Brent| date=2010-09-28 | url=https://edmontonjournal.com/news/math-genius-left-unclaimed-sum | access-date=2023-12-31}}</ref> Guy was intrigued by unsolved problems and wrote two books devoted to them.<ref>''Unsolved problems in number theory'' and ''Unsolved problems in combinatorial games''</ref><ref>Albers (2011): p. 165</ref> Many number theorists got their start trying to solve problems from Guy's book ''Unsolved problems in number theory''.<ref>Scott (2016) p. 30: It is no exaggeration to say that Unsolved Problems in Number Theory has inspired generations of aspiring Number Theorists!</ref>

Guy described himself as an amateur mathematician,<ref>Scot (2012) p. 29</ref> although his work was widely respected by professionals.<ref>Roberts (2016): "He pushes the boundaries of that definition."</ref> In a career that spans eight decades he wrote or co-authored more than a dozen books and collaborated with some of the most important mathematicians of the twentieth century.<ref>Scott (2016)</ref> Paul Erdős, John H. Conway, Donald Knuth, and Martin Gardner were among his collaborators, as were Elwyn Berlekamp, John L. Selfridge, Kenneth Falconer, Frank Harary, Lee Sallows, Gerhard Ringel, Béla Bollobás, C. B. Lacampagne, Bruce Sagan, and Neil Sloane.<ref>Albers (2011)</ref>

Over the course of his career Guy published more than 100 research papers in mathematics, including four with Erdős.<ref name=mathscinet>{{cite web|title=Richard K. Guy|publisher=American Mathematical Society|work=Mathematical Reviews|url=https://mathscinet.ams.org/mathscinet/MRAuthorID/78700|access-date=13 March 2020}}</ref><ref name=erdos1>{{cite journal|author1=P. Erdős|author2=R. K. Guy|author3=J. L. Selfridge|title=Another property of 239 and some related questions|journal=Congr. Numer.|volume=34|year=1982|pages=243–257|mr=681710}}</ref><ref name=erdos2>{{cite journal|author1=P. Erdős|author2=R. K. Guy|author3=J. W. Moon|title=On refining partitions|journal=J. London Math. Soc.|volume=9|year=1974|pages=565–570|mr=360302}}</ref><ref name=erdos3>{{cite journal|author1=P. Erdős|author2=R. K. Guy|title=Crossing number problems|journal=Amer. Math. Monthly|volume=80|year=1973|pages=52–58|doi=10.1080/00029890.1973.11993230|mr=382006}}</ref><ref name=erdos4>{{cite journal|author1=P. Erdős|author2=R. K. Guy|title=Distinct distances between lattice points|journal=Elem. Math.|volume=25|year=1970|pages=121–123|mr=281691}}</ref>

Guy was influential in the field of recreational mathematics. He collaborated with Berlekamp and Conway on two volumes of ''Winning Ways'', which Martin Gardner described in 1998 as "the greatest contribution to recreational mathematics in this century".<ref>''[https://blogs.scientificamerican.com/observations/a-quarter-century-of-recreational-m-2010-05-26/ A Quarter-Century of Recreational Mathematics]'' by Martin Gardner, ''Scientific American'', August 1998</ref><ref>Scott (2016) p. 30: Mathematician Michael Bennett calls ''Winning Ways for your Mathematical Plays'' the bible of Combinatorial Game Theory.</ref> Guy was considered briefly as a replacement for Gardner when the latter retired from the Mathematical Games column at ''Scientific American''.<ref>Mulcahy (2016): Richard also reveals a little known fact about the end of Gardner's quarter-century column run for that publication, "There was serious consideration given to my taking over the column from him. I'm glad that it didn't happen, because you can't follow Martin Gardner!".</ref> Guy conducted extensive research on Conway's Game of Life, and in 1970, discovered the game's glider.<ref>Mulcahy (2016)</ref><ref>Gardner, Martin (1970). [https://web.archive.org/web/20090603015231/http://ddi.cs.uni-potsdam.de/HyFISCH/Produzieren/lis_projekt/proj_gamelife/ConwayScientificAmerican.htm The fantastic combinations of John Conway's new solitaire game "life"] Scientific American: Mathematical Games. October 1970.</ref> Around 1968, Guy discovered a unistable polyhedron with 19 faces; no such construct with fewer faces was found until 2012. As of 2016 Guy still was active in conducting mathematical work.<ref>{{cite web| url=http://newsletter.lms.ac.uk/richard-guy-at-100/| title=Richard Guy at 100| author=Kenneth Falconer| publisher=London Mathematical Society Newsletter| date=3 October 2016| archive-url=https://web.archive.org/web/20171229172400/http://newsletter.lms.ac.uk/richard-guy-at-100/| archive-date=29 December 2017}}</ref> To mark his 100th birthday friends and colleagues organised a celebration of his life and a tribute song and video was released by Gathering 4 Gardner.<ref>[https://www.youtube.com/watch?v=2RAalmbDGxM Richard Guy 100th Birthday Tribute Song] video</ref>

Guy was one of the original directors of the Number Theory Foundation and played an active role in supporting their efforts to "foster a spirit of cooperation and goodwill among the family of number theorists" for more than twenty years.<ref>{{cite web|title=Chair's Corner|author=William Blair|work=NIU Department of Mathematical Sciences Newsletter|publisher=University of Northern Illinois|url=http://www.math.niu.edu/alumni/nl-2001.pdf|access-date=13 March 2020}}</ref><ref>{{cite web|url=https://numbertheoryfoundation.org/#InMemoriam|work=The Number Theory Foundation|title=In Memoriam|publisher=Number Theory Foundation|access-date=10 March 2020}}</ref>

==Chess problems== From 1947 to 1951 Guy was the endings editor for ''British Chess Magazine''.<ref>[https://books.google.com/books?id=3j4fDQAAQBAJ&q=R.+K.+Guy&pg=PA115 The Chess Endgame Study: A Comprehensive Introduction] By A. J. Roycroft, New York : Dover Publications, 1981, p. 58, {{ISBN|0486241866}}</ref> He is known for almost 200 endgame studies. Along with Hugh Blandford and John Roycroft, he is one of the inventors of the GBR code (Guy–Blandford–Roycroft code), a system of representing the position of chess pieces on a chessboard. Publications including ''EG'' use it to classify endgame types and to index endgame studies.<ref>Hooper, David; Whyld, Kenneth (1992) ''The Oxford Companion to Chess'', "GBR code", p. 353, Oxford University Press, {{ISBN|0-19-280049-3}}</ref>

{{Chess diagram | size = 38 |floatleft |Richard Guy endgame composition: 1938 | | | | | | | | | |pd| |pd| |pd| | |pd|pl | |pl | |pl | | | | | | | | | | | kd | |pd| | | | | | | |pl | |pd| |pd|pl | | |pl | |pl | |pl | | | | | |kl| | | | }} <poem> Solution: '''1. Kd1 Ka3''' '''2. Kc1 a5''' '''3. h4 a4''' '''4. h5 Ka2''' '''5. h6 a3''' '''6. h7 Ka1''' '''7. h8=N a2''' '''8. Ng6 fxg6''' '''9. f7 g5''' '''10. f8=N g4''' '''11. Ne6 dxe6''' '''12. d7 e5''' '''13. d8=N e4''' '''14. Nc6 bxc6''' '''15. b7 c5''' '''16. Kd1 Kb2''' '''17. b8=Q+ 1-0''' </poem>

{{clear}}

==Selected publications==

=== Books === * 1975 (with John L. Selfridge) ''Optimal coverings of the square'', North-Holland, Amsterdam, OCLC Number: 897757276. * 1976 ''Packing [1, n] with solutions of ax + by = cz — the unity of combinatorics'' ''Atti dei Conv. Lincei'', 17, Tomo II, 173–179 * 1981 ''Unsolved problems in number theory'', Springer-Verlag in New York, {{ISBN|0-387-90593-6}} * 1982 ''Sets of integers whose subsets have distinct sums'', North-Holland, OCLC Number: 897757256. * 1982 (with Elwyn Berlekamp and John H. Conway) ''Winning Ways for your Mathematical Plays'', Academic Press, {{ISBN|0120911507}}. * 1987 ''Six phases for the eight-lambdas and eight-deltas configurations'', North-Holland, OCLC Number: 897693235. * 1989 ''Fair game how to play impartial combinatorial games'', COMAP in Arlington, MA, {{ISBN|0912843160}}. * 1991 ''Graphs and the strong law of small numbers'' in 'Graph Theory, Combinatorics, and Applications, Wiley, OCLC Number: 897682607. {{ISBN|9780471532194}} * 1994 (with Hallard T. Croft and Kenneth Falconer) ''Unsolved problems in geometry'', Springer-Verlag, {{ISBN|0387975063}}. * 1996 (with John H. Conway) ''The book of numbers'', Copernicus, {{ISBN|9780387979939}}. * 2002 (with Paul Vaderlind and Loren C. Larson) ''The inquisitive problem solver'', Mathematical Association of America, {{ISBN|0883858061}}. * 2020 (with Ezra A. Brown) ''The Unity of Combinatorics'', Mathematical Association of America, {{ISBN|978-1-4704-5279-7}}

=== Papers === {{div col|colwidth=30em}} * {{cite journal|first1=R. K. |last1=Guy|first2=Cedric A. B. | last2=Smith |title=The G-values of various games |year=1956 |doi=10.1017/S0305004100031509 |journal=Math. Proc. Camb. Philos. Soc. |volume=52 |issue=3 |pages=514–526 |bibcode=1956PCPS...52..514G|s2cid=120605511 }} * {{cite journal| first1=R. K. |last1=Guy |title=Two theorems on partitions |journal = Math. Gaz. |volume=42 |issue=340 |year=1958 |pages=84–86 |doi=10.2307/3609388 |jstor=3609388 |s2cid=125687055 }} * {{cite journal| first1=R. K. |author2-link=Frank Harary |last1=Guy |first2=Frank |last2=Harary |title=On the Mobius ladders |journal = Can. Math. Bull. |volume=10 |issue=4 |year=1967 |pages=493–496 |doi=10.4153/CMB-1967-046-4 |s2cid=124320546 |doi-access=free }} * {{cite journal | first1=Andrew |last1=Bremner | first2=Joseph R. |author3-link=Michael Guy |last2=Goggins | first3=Michael J. T. |last3=Guy | first4=R. K. |last4=Guy |title=On rational Morley triangles |journal = Acta Arith. |volume=93 |issue=2 |year=2000 |pages=177–187 |url=http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.bwnjournal-number-aa-2000-93-2 |doi=10.4064/aa-93-2-177-187 |doi-access=free }} * {{cite journal | first1= Lee |last1=Sallows | first2=R. K. |author3-link=Martin Gardner |last2=Guy | first3=Martin |author4-link=Donald Knuth |last3=Gardner | first4=Donald |last4=Knuth | title = New pathways in serial isogons | journal = Math. Intell. | volume = 14 |issue=2 | pages = 55–67 | year = 1992 | doi = 10.1007/BF03025216 |s2cid=121493484 |author1-link=Lee Sallows }} * {{cite journal | author = Guy, R. K. | title = A coarseness conjecture of Erdös| journal = J. Comb. Theory | volume = 3 | pages = 38–42 | year = 1967 | doi = 10.1016/S0021-9800(67)80014-0 | doi-access = free }} * {{cite journal| first1=R. K. |last1=Guy |first2=Patrick A. |last2=Kelly |title=The no-three-in-line problem |journal = Can. Math. Bull. |volume=11 |issue=4 |year=1968 |pages=527–531 |doi=10.4153/CMB-1968-062-3 |s2cid=120649715 |doi-access=free }} * {{cite journal|first1=R. K. |last1=Guy |first2=Tom | last2=Jenkyns |first3=Jonathan | last3=Schaer |title=The toroidal crossing number of the complete graph |year=1968 |doi=10.1016/S0021-9800(68)80063-8 |journal=J. Comb. Theory |volume=4 |issue=4 |pages=376–390 |doi-access=free }} * {{cite book | first1=R. K. | last1=Guy |year=1969 |title=The Many Facets of Graph theory |series=Lecture Notes in Mathematics |volume=110 |pages=129–148 |doi=10.1007/BFb0060112 | chapter=A many-facetted problem of zarankiewicz | isbn=978-3-540-04629-5 }} * {{cite journal|first1=R. K. |last1=Guy |first2=Tom | last2=Jenkyns |title=The toroidal crossing number of K(m,n) |year=1969 |doi=10.1016/S0021-9800(69)80084-0 |journal=J. Comb. Theory |volume=6 |issue=3 |pages=236–250 |doi-access= }} * {{cite book| first1=R. K. | volume=186 | last1=Guy |year=1970 |title=Recent Trends in Graph Theory |series=Lecture Notes in Mathematics |pages=143–156 |doi=10.1007/BFb0059432 | chapter=Latest results on crossing numbers | isbn=978-3-540-05386-6 }} * {{cite journal| first1=R. K. |last1=Guy |title=The slimming number and genus of graphs |journal = Can. Math. Bull. |volume=15 |issue=2 |year=1972 |pages=195–200 |doi=10.4153/CMB-1972-035-8 |s2cid=123893633 |doi-access=free }} * {{cite book| first1=R. K. | chapter=Crossing numbers of graphs | last1=Guy |year=1972 |title=Graph Theory and applications |series=Lecture Notes in Mathematics |volume=303 |pages=111–124 |doi=10.1007/BFb0067363 | isbn=978-3-540-06096-3 }} * {{cite journal| first1=R. K. | author2-link=John Selfridge | last1=Guy |first2=J. L. |last2=Selfridge |title=What drives an aliquot sequence? |year=1975 |journal=Math. Comput. |pages=101–107 |volume=29 | issue=129 |doi=10.1090/S0025-5718-1975-0384669-X |doi-access=free }} * {{cite journal| first1=R. K. | author2-link=Gerhard Ringel | last1=Guy |first2=Gerhard |last2=Ringel |title=Triangular embedding of ''K<sub>n</sub>'' – ''K<sub>6</sub>'' |journal=J. Comb. Theory B |volume=21 |issue=2 |pages=140–145 |year=1976 |doi=10.1016/0095-8956(76)90054-X |doi-access=free }} * {{cite journal |author=Béla Bollobás, R. K. Guy |title=Equitable and proportional coloring of trees |journal=J. Comb. Theory B |volume=34 |issue=2 |pages=177–186 |year=1983 |doi=10.1016/0095-8956(83)90017-5 |doi-access=free }} * {{cite journal | first1=R. K. |author2-link=John Selfridge |last1=Guy |first2=J. L. |last2=Selfridge |title=Corrigendum to 'What drives an aliquot sequence?' |journal = Math. Comput. |volume=34 |issue=149 |year=1980 |pages=319–321 |doi=10.1090/S0025-5718-1980-0551309-8 |doi-access=free }} * {{cite journal | first1=R. K. | last1=Guy |title=Conway's prime producing machine |year=1983 |journal=Math. Mag. |pages=26–33 |volume=56 |issue=1 |doi=10.2307/2690263 | jstor=2690263 }} * {{cite journal | first1=R. K. |author2-link=C. B. Lacampagne |last1=Guy | first2=C. B. |author3-link=John Selfridge |last2=Lacampagne |first3=J. L. |last3=Selfridge |title=Primes at a glance |journal = Math. Comput. |volume=48 |issue=177 |year=1987 |pages=183–202 |doi=10.1090/S0025-5718-1987-0866108-3 |doi-access=free }} * {{cite journal|first1=R. K. |last1=Guy |title=The strong law of small numbers |year=1988 |journal=Am. Math. Mon. |volume=95 |issue=8 |pages=697–712 |doi=10.2307/2322249 |jstor=2322249 }} * {{cite journal |first1=Andrew |last1=Bremner |first2=R. K. |last2=Guy |title=A dozen difficult diophantine dilemmas |year=1988 |journal=Am. Math. Mon. |volume=95 |issue=1 |pages=31–36 |doi=10.2307/2323442 |jstor=2323442 }} * {{cite journal|first1=R. K. |last1=Guy |title=The second strong law of small numbers |year=1990 |journal=Am. Math. Mon. |volume=63 |issue=1 |pages=3–20 |doi=10.2307/2691503 |jstor=2691503 }} * {{cite journal | first1=Andrew |last1=Bremner | first2=R. K. |last2=Guy |title=Nu-configurations in tiling the square |journal = Math. Comput. |volume=59 |issue=199 |year=1992 |pages=195–202 |doi=10.1090/S0025-5718-1992-1134716-2 |bibcode=1992MaCom..59..195B |doi-access=free }} * {{cite journal|first1=R. K. |last1=Guy |first2=C. |author3-link=Bruce Sagan |last2=Krattenthaler |first3=Bruce E. |last3=Sagan |title=Lattice paths, reflections, and dimension-changing bijections |year=1992 |journal=Ars Combinatoria |volume=34 |pages=15 |citeseerx=10.1.1.32.294 }} * {{cite journal | first1=Andrew |last1=Bremner | first2=R. K. |last2=Guy | first3=Richard J.|last3=Nowakowski |title=Which integers are representable as the product of the sum of three integers with the sum of their reciprocals? |journal = Math. Comput. |volume=61 |issue=203 |year=1993 |pages=117–130 |doi=10.1090/S0025-5718-1993-1189516-5 |bibcode=1993MaCom..61..117B |doi-access=free }} * {{cite journal|first1=R. K. |last1=Guy |title=Every number is expressible as the sum of how many polygonal numbers? |year=1994 |journal=Am. Math. Mon. |volume=101 |issue=2 |pages=169–72 |doi=10.2307/2324367 |jstor=2324367 }} * {{cite journal|first1=R. K. |last1=Guy |first2=Richard |last2=Nowakowski |title=Coin-Weighing Problems |year=1995 |journal=Am. Math. Mon. |volume=102 |issue=2 |pages=164–167 |doi=10.2307/2975353 |jstor=2975353 }} * {{cite journal|first1=R. K. |last1=Guy |title=Catwalks, sandsteps and pascal pyramids |year=2000 |journal=J. Integer Seq. |volume=3 |pages=00.1.6 |bibcode=2000JIntS...3...16G |url=http://www.emis.de/journals/JIS/VOL3/GUY/ }} * {{cite journal | first1=John H. |last1=Conway | first2=R. K. |last2=Guy | first3=W. A. |author4-link=Neil Sloane |last3=Schneeberger | first4=N. J. A. |last4=Sloane |title=The primary pretenders |journal = Acta Arith. |volume=78 |issue=4 |year=1996–1997 |pages=307–313 |url=http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.bwnjournal-article-aav78i4p307bwm?q=bwmeta1.element.bwnjournal-number-aa-1996-1997-78-4 |doi=10.4064/aa-78-4-307-313 |doi-access=free |arxiv=math/0207180 }} {{div col end}}

==References== {{Reflist|30em}}

==Sources== {{refbegin|40em}} * Albers, Donald J.; Alexanderson, Gerald L. (1985). ''[https://books.google.com/books?id=1eHqBgAAQBAJ&dq=%22mike+guy%22+cambridge+mathematics&pg=PA37 Mathematical People: Profiles and Interviews]'', John Horton Conway by Richard K. Guy: pp.&nbsp;36–46, Princeton University Press, {{ISBN|0817631917}} * Albers, Donald J.; Alexanderson, Gerald L. (2011). ''[http://www.math.uiuc.edu/~tondeur/Albers-2011.pdf Fascinating Mathematical People : interviews and memoirs]'', Interview with Richard K. Guy: pp.&nbsp;165–192, Princeton University Press, {{ISBN|0691148295}} * Berlekamp, Elwyn R. (2014). ''[https://web.archive.org/web/20161005113441/https://sinews2.siam.org/DetailsPage/tabid/607/ArticleID/200/The-Mathematical-Legacy-of-Martin-Gardner.aspx The Mathematical Legacy of Martin Gardner]'' Society for Industrial and Applied Mathematics (SIAM), 2 September 2014 * Fortney, Valerie (2015). "[https://calgaryherald.com/opinion/columnists/fortney-richard-guy-to-visit-his-namesake-alpine-hut Richard Guy to visit his namesake alpine hut]" ''The Calgary Herald'', 10 September 2015 * Guiltenane, Erin (2016). [https://www.ucalgary.ca/utoday/issue/2016-09-29/emeritus-professor-marks-century-life-and-learning Emeritus professor marks a century of life and learning] University of Calgary: Faculty of Science, 29 September 2016 * MMA (2016). ''[http://www.maa.org/news/happy-birthday-richard-guy Happy Birthday, Richard Guy!] {{Webarchive|url=https://web.archive.org/web/20170425141638/http://www.maa.org/news/happy-birthday-richard-guy |date=25 April 2017 }}'' Mathematical Association of America, 30 September 2016 * Mulcahy, Colm (2016). ''[http://cardcolm-maa.blogspot.com/2016/09/richard-k-guy-turns-100.html Richard K. Guy turns 100]'' MMA: CardColm, 30 September 2016 * Roberts, Siobhan (2016). ''[http://nautil.us/blog/an-infinitely-rich-mathematician-turns-100 An “Infinitely Rich” Mathematician Turns 100]'', 30 September 2016 * Scott, Chic (2012). ''[https://web.archive.org/web/20161020230826/http://www.alpineclubofcanada.ca/wp-content/uploads/2015/07/SS14-Guy.pdf Young at Heart: The Inspirational Lives of Richard and Louise Guy]'', Pub by The Alpine Club of Canada, Canmore, Alberta, {{ISBN|978-0-920330-24-1}} {{refend}}

==External links== {{Wikinews|British mathematician Richard K. Guy dies at 103}} *[https://mathscinet.ams.org/mathscinet/MRAuthorID/78700 Richard K. Guy] author profile on MathSciNet *[http://contacts.ucalgary.ca/info/math/profiles/101-152944 Personal web page] *{{MathGenealogy|id=1452}} *{{cite journal|last1=Granville|first1=Andrew|last2=Pomerance|first2=Carl|title=The Man Who Loved Problems: Richard K. Guy|journal=Notices of the American Mathematical Society|date=April 2022|volume=69|issue=4|pages=574–585|url=https://www.ams.org/notices/202204/rnoti-p574.pdf|doi=10.1090/noti2456|doi-access=free}}

{{Conway's Game of Life|state=collapsed}} {{Authority control}}

{{DEFAULTSORT:Guy, Richard K.}} Category:1916 births Category:2020 deaths Category:Military personnel from Warwickshire Category:20th-century English mathematicians Category:21st-century English mathematicians Category:Academics of the University of London Category:Alumni of Gonville and Caius College, Cambridge Category:Chess composers Category:Combinatorial game theorists Category:Academic staff of IIT Delhi Category:Mathematics popularizers Category:British men centenarians Category:Academic staff of the National University of Singapore Category:British number theorists Category:People from Nuneaton Category:Recreational mathematicians Category:Royal Air Force personnel of World War II Category:Academic staff of the University of Calgary Category:English expatriates in Canada Category:British expatriates in Singapore Category:Royal Air Force officers