Richard K. Guy | Academic Influence

Richard K. Guy's AcademicInfluence.com Rankings

Richard K. Guy

Mathematics

#179

World Rank

#415

Historical Rank

Number Theory

#27

World Rank

#46

Historical Rank

Combinatorics

#49

World Rank

#54

Historical Rank

Measure Theory

#1320

World Rank

#1664

Historical Rank

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Mathematics

Why Is Richard K. Guy Influential?

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According to Wikipedia, Richard Kenneth Guy was a British mathematician. He was a professor in the Department of Mathematics at the University of Calgary. He is known for his work in number theory, geometry, recreational mathematics, combinatorics, and graph theory. He is best known for co-authorship of Winning Ways for your Mathematical Plays and authorship of Unsolved Problems in Number Theory. He published more than 300 scholarly articles. 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. For this paper he received the MAA Lester R. Ford Award.

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Richard K. Guy's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Winning Ways for Your Mathematical Plays (1983) (1807)
Unsolved Problems in Number Theory (1981) (789)
Unsolved Problems In Geometry (1991) (635)
On numbers and games (1978) (529)
The Book of Numbers (1995) (308)
Crossing Number Problems (1973) (190)
Winning Ways for Your Mathematical Plays, Volume 2 (2003) (167)
Crossing numbers of graphs (1972) (139)
The G-values of various games (1956) (94)
The strong law of small numbers (1988) (87)
Winning Ways for Your Mathematical Plays, Volume 4 (2004) (85)
Unsolved Problems in Combinatorial Games (2009) (66)
On the Möbius Ladders (1967) (65)
Review: J. H. Conway and N. J. A. Sloane, Sphere packings, lattices and groups (1989) (53)
The toroidal crossing number of the complete graph (1968) (52)
Every Number is Expressible as the Sum of How Many Polygonal Numbers (1994) (44)
Latest results on crossing numbers (1971) (41)
Don't Try to Solve These Problems! (1983) (40)
Catwalks, sandsteps, and Pascal pyramids (2000) (36)
Sets of Integers Whose Subsets Have Distinct Sums (1982) (35)
An Olla-Podrida of Open Problems, Often Oddly Posed (1983) (35)
The Second Strong Law of Small Numbers. (1990) (31)
The toroidal crossing number of Km,n (1969) (30)
Stability of Polyhedra (1966) (30)
Any Answers Anent These Analytical Enigmas (1986) (30)
Equitable and proportional coloring of trees (1983) (30)
Combinatorial Games (2000) (30)
A many-facetted problem of zarankiewicz (1969) (28)
What drives an aliquot sequence (1975) (28)
What's Left? (1998) (26)
To Infinity and Beyond: A Cultural History of the Infinite (1989) (25)
Coin-Weighing Problems (1995) (25)
The Coarseness of the Complete Graph (1968) (24)
There are Three Times as Many Obtuse-Angled Triangles as There are Acute-Angled Ones (1993) (23)
The Inquisitive Problem Solver (2002) (23)
The No-Three-In-Line Problem (1968) (23)
Some Suspiciously Simple Sequences (1986) (22)
Lattice Paths, Reeections, & Dimension-changing Bijections (1992) (21)
Catalan Strikes Again! How Likely Is a Function to Be Convex? (1988) (21)
The Outerthickness & Outercoarseness of Graphs I. The Complete Graph & The n-Cube (1990) (20)
Conway's Prime Producing Machine (1983) (19)
Stability oF Polyhedra (J. H. Conway and R. K. Guy) (1969) (18)
My Favorite Elliptic Curve: A Tale of Two Types of Triangles (1995) (18)
Distinct distances between lattice points (1970) (17)
A coarseness conjecture of Erdös (1967) (16)
On Refining Partitions (1975) (16)
A new formula for (1986) (16)
The delta-lambda configurations in tiling the square (1989) (14)
Which integers are representable as the product of the sum of three integers with the sum of their reciprocals (1993) (13)
The Lighthouse Theorem, Morley & Malfatti– A Budget of Paradoxes (2007) (13)
SOME FOURTH-ORDER LINEAR DIVISIBILITY SEQUENCES (2011) (12)
The Coarseness of the Complete Bipartite Graph (1969) (12)
Monthly Research Problems, 1969–75 (1975) (11)
Primes at a glance (1987) (11)
Conways rats and other reversals (1989) (11)
The Lighter Side of Mathematics (1994) (11)
TRIANGLE-RECTANGLE PAIRS WITH A COMMON AREA AND A COMMON PERIMETER (2006) (11)
The crossing number of the complement of a circuit (1973) (11)
Monthly Research Problems, 1969–73 (1973) (9)
Monthly Research Problems, 1969–71 (1971) (9)
Monthly unsolved problems, 1969-1997 (1997) (9)
Two more representation problems (1997) (9)
A smooth and unified proof of cases 6, 5 and 3 of the ringel-youngs theorem (1973) (8)
Nothing's New in Number Theory? (1998) (8)
John Isbell's Game of Beanstalk and John Conway's Game of Beans-Don't-Talk (1986) (8)
Periods in Taking and Splitting Games (1999) (8)
Conway's Subprime Fibonacci Sequences (2012) (8)
Nu-configurations in tiling the square (1992) (8)
A Quarter Century of Monthly Unsolved Problems, 1969–1993 (1993) (7)
Combinatorics: Outerthickness and outercoarseness of graphs (1974) (7)
Discovering primes with Euclid (1975) (7)
Unsolved problems come of age (1989) (7)
Combinatorial structures and their applications : proceedings of the Calgary international conference on combinatorial structures and their applications held at the University of Calgary, Calgary, Alberta, Canada, June, 1969 (1970) (7)
Twenty Questions Concerning Conway's Sylver Coinage (1976) (7)
Monthly Research Problems, 1969–77 (1977) (6)
Parker's Permutation Problem Involves the Catalan Numbers (1993) (6)
Rick's Tricky Six Puzzle: S5 Sits Specially in S6 (2009) (6)
Mathematics from Fun & Fun from Mathematics: An Informal Autobiographical History of Combinatorial Games (1991) (6)
Monthly Unsolved Problems, 1969-1995 (1995) (6)
Packing and Covering (1991) (5)
Numerical and Statistical Analysis of Aliquot Sequences (2018) (5)
On rational Morley triangles (2000) (5)
Partitions with parts occurring at most thrice (2008) (5)
The Unity of Combinatorics (2020) (4)
Two Theorems on Partitions (1958) (4)
Triangular imbedding of Kn - K6 (1976) (4)
Anyone for Twopins (1981) (4)
Empirical Study of Aliquot Series (1974) (4)
Serial Isogons of 90 Degrees (1991) (4)
A Pentagonal Pot-Pourri of Perplexing Problems, Primarily Probabilistic (1984) (4)
The Primary Pretenders (2002) (4)
Unsolved Problems in Combinatorial Game Theory: updated (2002) (4)
A Couple of Cubic Conundrums (1984) (4)
The Nesting and Roosting Habits of the Laddered Parenthesis (1973) (3)
Graphs defined by coverings of a set (1968) (3)
Monthly Unsolved Problems, 1969–1987 (1987) (3)
A Guessing Game of Bill Sands, and Bernardo Recamán's Barranca (1990) (3)
It s a Small (2018) (3)
FACTORING FACTORIAL N (1998) (3)
Reviews in number theory 1973-83 : as printed in Mathematical reviews (1984) (3)
Problems: 10314-10321 (1993) (3)
The Slimming Number and Genus of Graphs (1972) (3)
Odd and Even Linear Divisibility Sequences of Order 4 (2015) (3)
John Horton Conway: Mathematical Magus (1982) (2)
Canadian Number Theory Association Unsolved Problems 1988 (1990) (2)
Some Monoapparitic Fourth Order Linear Divisibility Sequences (2012) (2)
Corrigendum to: “What drives an aliquot sequence?” [Math. Comp. 29 (1975), 101–107; MR 52 #5542] (1980) (2)
Monthly Research Problems 1969-77 (1977) (2)
The Number-Pad Game (2007) (2)
6. A Triangle Has Eight Vertices But Only One Center (2017) (2)
BITE-SIZED COMBINATORIAL GEOMETRY PROBLEMS (1996) (2)
General Geometric Problems (1991) (2)
Rick's Tricky Six Puzzle: S 5 Sits Specially in S 6 (2009) (2)
Conference problems session conducted by J. L. Selfridge (1999) (2)
ApSimon's Mints Problem (1994) (2)
Problems Dedicated to Emory P. Starke: S9-S10 (1979) (2)
Supplement to Nu-Configurations in Tiling the Square (1992) (1)
APSIMON'S DIAGONAL POINT TRIANGLE PROBLEM (1997) (1)
John H. Conway (2008) (1)
Research Problems become Unsolved Problems (1981) (1)
Collatz Conjecture (2011) (1)
The Man Who Loved Problems : (2022) (1)
MAP COLOUR THEOREM (1976) (1)
Aviezri Fraenkel and Combinatorial Games (2001) (1)
Notation and Definitions (1991) (1)
Corrigendum to "What Drives an Aliquot Sequence?" (1980) (1)
What Comes Next (1996) (1)
Finite Sets of Points (1991) (1)
The Romance of Numbers (1996) (1)
How good a mathematician are you? (1986) (1)
Addenda to “Monthly Research Problems 1969–77” (1978) (1)
Monthly Research Problems, 1969-79 (1979) (1)
Divisors and Desires (1997) (1)
Further Results on Unitary Aliquot Sequences. (1978) (1)
Tables of Aliquot Sequences (1972) (1)
CLASSIFICATION AND SYMMETRIES OF A FAMILY OF CONTINUED FRACTIONS WITH BOUNDED PERIOD LENGTH (2012) (1)
Problems and Solutions: Problems: 10382-10388 (1994) (1)
The lighter side of mathematics : proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics & its History (1994) (1)
Further Fruitfulness of Fractions (1996) (1)
The Mathematics of Plato's Academy. A New Reconstruction. By D. H. Fowler (1990) (1)
Fibonacci Plays Billiards (2020) (1)
W. D. Caroe: His architectural achievement. Book Review. (1997) (1)
Mr. Selden’s Map of China: Decoding the Secrets of a Vanished Cartographer, by Timothy BrookMr. Selden’s Map of China: Decoding the Secrets of a Vanished Cartographer, by Timothy Brook. Toronto, Harper Collins Press, 2013. xxiv, 212 pp. $25.00 US (Cloth). (2014) (1)
Monthly Unsolved Problems 1969–1983 (1983) (1)
A beam waveguide feed for an 11/14 GHz antenna (1978) (1)
Unique Rook Circuits (2002) (1)
2048. A single scale nomogram (1949) (1)
2420. On alternating series (Note 2279) (1954) (0)
Finding the Correct Number is Simplicity Itself (2018) (0)
The Triangle (2019) (0)
Problems sessions 92-05-29 and 92-05-31 (2000) (0)
Unitary Aliquot Sequences. (1978) (0)
Anyone for T~opins? -~- (1981) (0)
Class Numbers and Continued Fraction Expansions (2013) (0)
Lines and Squares (2018) (0)
Some Diophantine Equations (1981) (0)
AN OBSERVATION CONCERNING THE REPRESENTATION OF POSITIVE INTEGERS AS A SUM OF THREE CUBES (2021) (0)
Book Review: Mathematical Go: Chilling gets the last point (1995) (0)
Numbers, Nimbers and Numberless Wonders (2018) (0)
Polygons, Polyhedra, and Polytopes (1991) (0)
Monthly Unsolved Problems, 1969–1991 (1991) (0)
The Outercoarseness of the n-cube (2017) (0)
A problem of Zarankiewicz (1966) (0)
Tiling and Dissection (1991) (0)
Figures from Figures Doing Arithmetic and Algebra by Geometry (1996) (0)
Additive Number Theory (2004) (0)
Difference Necklaces (2020) (0)
2491. A necessary and sufficient condition for a right-angle triangle (1955) (0)
Sequences of Integers (1994) (0)
Taking and Breaking (2018) (0)
The Heat of Battle (2018) (0)
Imagining Imaginary Numbers (1996) (0)
Some Harder Games and How to Make Them Easier (2018) (0)
T. Brook, Mr. Selden’s Map of China: Decoding the Secrets of a Vanished Cartographer (2014) (0)
Problems for Solution: E1391-E1395 (1959) (0)
Things I'd Like to Know (2016) (0)
Some Transcendental Numbers (1996) (0)
2315. A single-scale nomogram (1953) (0)
2832. The Simson Line and the Cardioid (1959) (0)
Problems Dedicated to Emory P. Starke: S4-S5 (1979) (0)
Famous Families of Numbers (1996) (0)
13. All Straight Lines Are Parallel (1957) (0)
Forty-four Years with Peter Lancaster (2002) (0)
Patulous Pegboard Polygons (2008) (0)
The Encyclopedia of Integer Sequences, by N. J. A. Sloane and Simon Plouffe (1997) (0)
Infinite and Infinitesimal Numbers (1996) (0)
None of the Above (2004) (0)
Some Tables for Aliquot Sequences. (1978) (0)
Unsolved Problems: ApSimon's Mints Problem (1994) (0)
Geometric Problems and Algebraic Numbers (1996) (0)
Monthly Unsolved Problems, 1969–1985 (1985) (0)
Nine Cubits or Simple Soma (2002) (0)
6. A Triangle Has Eight Vertices But Only One Center (2018) (0)
The Primacy of Primes (1996) (0)
How Can We Lead in an Up-to-Date and Fair Fashion?… (1984) (0)
A Quintet of Quite Quickly Quoted Queries (1986) (0)
3,112. A property of the prime 3511 (1965) (0)

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What Are Richard K. Guy's Academic Contributions?

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Winning Ways for your Mathematical Plays

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