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Problems in mathematics concerning chessboard or the sport chess
A mathematical chess problem is a mathematical problem which is formulated using a chessboard and chess pieces. These problems belong to recreational mathematics
Mathematical_chess_problem
Mathematical problem
The wheat and chessboard problem (sometimes expressed as the rice and chessboard problem) is a mathematical problem expressed in textual form as: If a
Wheat_and_chessboard_problem
Form of entertainment in mathematics
recreational mathematics are Rubik's Cubes, magic squares, fractals, logic puzzles and mathematical chess problems, but this area of mathematics includes
Recreational_mathematics
Chess composition whose solution is a mate or other clear objective
A chess problem, also called a chess composition, is a puzzle created by the composer using chess pieces on a chessboard, which presents the solver with
Chess_problem
Mathematical problem set on a chessboard
The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires
Eight_queens_puzzle
Puzzle based on chess
chess puzzle is a puzzle in which knowledge of the pieces and rules of chess is used to logically solve a chess-related problem. The history of chess
Chess_puzzle
On domino tiling after removing two corners
original motivation for the problem. In the philosophy of mathematics, it has been examined in studies of the nature of mathematical proof. The puzzle is impossible
Mutilated_chessboard_problem
Mathematical problem set on a chessboard
knight's tour problem is the mathematical problem of finding a knight's tour. Creating a program to find a knight's tour is a common problem given to computer
Knight's_tour
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Mathematical graph relating to chess
In mathematics, a bishop's graph is a graph that represents all legal moves of the chess piece the bishop on a chessboard. Each vertex represents a square
Bishop's_graph
Estimate of number of possible chess games
plies (or, equivalently, 40 moves). Chess portal Combinatorial explosion Game complexity Go and mathematics Solving chess Shannon, Claude E. (March 1950)
Shannon_number
Type of metric geometry
arXiv:1405.7579. Kemp, Aubrey (2018). Generalizing and Transferring Mathematical Definitions from Euclidean to Taxicab Geometry (PhD thesis). Georgia
Taxicab_geometry
that chess can have a positive impact on meta-cognitive ability and mathematical problem-solving in children, which is why several local governments, schools
Chess_as_mental_training
Graph of king moves on a chessboard
a king's graph is a graph that represents all legal moves of the king chess piece on a chessboard where each vertex represents a square on a chessboard
King's_graph
of chess problems explains commonly used terms in chess problems, in alphabetical order. For a list of: unorthodox pieces used in chess problems, see
Glossary_of_chess_problems
Topics referred to by the same term
problem in Wiktionary, the free dictionary. A problem is a difficulty which may be resolved by problem solving. Specific types include: Chess problem
Problem_(disambiguation)
Mathematical graph relating to chess
John J. (2004), Across the Board: The Mathematics of Chessboard Problems. Paradoxes, perplexities, and mathematical conundrums for the serious head scratcher
Knight's_graph
Finding an optimal algorithm for playing chess
approximately 4.8x1044 possible board positions. The number of mathematical operations required to solve chess, however, may be significantly different than the number
Solving_chess
Point-based valuation system for chess pieces
In chess, a relative value (or point value) is a numerical value conventionally assigned to each piece. Piece valuations have no role in the rules of
Chess_piece_relative_value
Generating polynomial of the number of ways to place non-attacking rooks on a chessboard
Communications in Mathematical Physics, Vol. 25 (1972), pp. 190–232. Shevelev, V.S. (1990). "On a representation of rook polynomials". Russian Mathematical Surveys
Rook_polynomial
Graph of chess rook moves
rook's graphs have only minor significance in chess lore, they are more important in the abstract mathematics of graphs through their alternative constructions:
Rook's_graph
Mathematical metric
Chebyshev. It is also known as chessboard distance, since in the game of chess the minimum number of moves needed by a king to go from one square on a
Chebyshev_distance
Chess compositions with nonstandard rules (e.g. with fairy pieces)
fairy chess, retros, and mathematical problems. Books and pamphlets devoted to fairy chess: Chess Eccentricities by G. H. Verney (1885) Chancellor Chess by
Fairy_chess
Mathematical graph relating to chess
In mathematics, a queen's graph is an undirected graph that represents all legal moves of the queen—a chess piece—on a chessboard. In the graph, each vertex
Queen's_graph
Mathematical problem set on a chessboard
knight's path is a mathematical problem involving a knight on the standard 8×8 chessboard or, more generally, on a square n×n board. The problem is to find the
Longest uncrossed knight's path
Longest_uncrossed_knight's_path
The meeting was chaired by the mathematical puzzle expert Henry Ernest Dudeney who was chairman of the Sussex Chess Problem Fraternity (SCPF). Officers elected
British_Chess_Problem_Society
describe chess moves. For a list of: unorthodox chess pieces, see Fairy chess piece; terms specific to chess problems, see Glossary of chess problems; terms
Glossary_of_chess
Chinese mathematician (born 1989)
first prize at the 2006 Chinese Mathematical Olympiad. He then represented China in the 2006 International Mathematical Olympiad, where he won a gold medal
Yu_Deng
Unsolved problem in computer science
Unsolved problem in computer science If the solution to a problem can be checked in polynomial time, must the problem be solvable in polynomial time? More
P_versus_NP_problem
Traditional board game for two players
books, chess magazines, newspaper chess columns, and internet chess sites. Samuel Loyd New York State Chess Association, 1892 Chess problems (also called
Chess
Chess piece
The knight (♘, ♞) is a piece in the game of chess. It moves two squares vertically and one square horizontally, or two squares horizontally and one square
Knight_(chess)
as a chess variant. In addition, fairy chess pieces are used in fairy chess, an area of chess problems involving changes to the rules of chess. The following
List_of_fairy_chess_pieces
Variation of chess
of chess. The first known reference to infinite chess itself was made in 1927 by mathematician Dénes Kőnig in a footnote of his famous mathematical essay
Infinite_chess
German chess player (1868–1941)
invention, Lasca. His books about games presented a problem that is still considered notable in the mathematical analysis of card games. Lasker was a research
Emanuel_Lasker
Progression-free set of numbers
hardness of the subset sum problem. These sets can also be applied in recreational mathematics to a mathematical chess problem of placing as few queens
Salem–Spencer_set
American chess player, composer, puzzle author and mathematician (1841-1911)
composer, he authored a number of chess problems, often with interesting themes. At his peak, Loyd was one of the best chess players in the US, and he was
Sam_Loyd
Mythical character from India
for the invention of chaturanga, the predecessor of chess, and the wheat and chessboard problem he presented to the king when he was asked what reward
Sissa_(mythical_brahmin)
Hungarian chess teacher
World Chess Champion. He has written well-known chess books such as Chess: 5334 Problems, Combinations, and Games and Reform Chess, a survey of chess variants
László_Polgár
Problem or enigma that tests a person's ingenuity
arise from serious mathematical or logical problems. In such cases, their solution may be a significant contribution to mathematical research. The Oxford
Puzzle
Field of knowledge
for creativity in a mathematical work. On the contrary, many important mathematical results (theorems) are solutions of problems that other mathematicians
Mathematics
Rapid growth of the complexity of a problem due to its combinatorial properties
used to justify the intractability of certain problems. Examples of such problems include certain mathematical functions, the analysis of some puzzles and
Combinatorial_explosion
American mathematician (born 1966)
professor of mathematics at Harvard University. At age 26, he became the youngest professor to receive tenure at Harvard. He is also a pianist, chess national
Noam_Elkies
Book by Apostolos Doxiadis
in mathematics, called Goldbach's conjecture, that every even number greater than two is the sum of two primes. The novel discusses mathematical problems
Uncle Petros and Goldbach's Conjecture
Uncle_Petros_and_Goldbach's_Conjecture
formulas. Commonly encountered mathematical objects include numbers, expressions, shapes, functions, and sets. Mathematical objects can be very complex;
Mathematical_object
Logic puzzle
approaching a problem in number theory, while enforcing mathematical thinking and rigor, which is a foundational skill in Mathematical analysis. A census
Ages_of_Three_Children_puzzle
Any board used in the game chess
often used in mathematical puzzles or problems unrelated to chess, such as the wheat and chessboard problem and the mutilated chessboard problem. The term
Chessboard
Mathematical problem
Squaring the square is the problem of tiling an integral square using only other integral squares. (An integral square is a square whose sides have integer
Squaring_the_square
Computer built in 1952 for Los Alamos Scientific Lab
The MANIAC I (Mathematical Analyzer Numerical Integrator and Automatic Computer Model I) was an early computer built under the direction of Nicholas Metropolis
MANIAC_I
the king of modern chess. A common theory is that India's development of the board, and chess, was likely due to India's mathematical enlightenment involving
History_of_chess
Problem that is difficult or impossible to solve
relatively "tame", solvable problems in mathematics, chess, or puzzle solving. Rittel and Webber's 1973 formulation of wicked problems in social policy planning
Wicked_problem
System for rating game players
designed for rating chess players. It is a special case of the Bradley–Terry model. The Elo system was invented as an improved chess rating system over
Elo_rating_system
Soviet Russia Jewish humor Joke chess problem Knock-knock joke Lawyer joke Lightbulb joke Little rabbit jokes Mathematical joke Military humor Milkman joke
Index_of_joke_types
American chess grandmaster (1943–2008)
1943 – January 17, 2008) was an American chess grandmaster and the eleventh World Chess Champion. A chess prodigy, he won his first of a record eight
Bobby_Fischer
Property of being an even or odd number
of Mathematical Sciences], vol. 290 (3rd ed.), New York: Springer-Verlag, p. 10, ISBN 978-0-387-98585-5, MR 1662447. Pandolfini, Bruce (1995), Chess Thinking:
Parity_(mathematics)
American mathematician
chess, infinite draughts, infinite Hex, and others. On the topic of infinite chess, Hamkins, Brumleve and Schlicht proved that the mate-in-n problem of
Joel_David_Hamkins
2020 American television miniseries
strong player and chess problem enthusiast, friend of Benny Jonjo O'Neill as Mr. Ganz, a teacher and coach of the local high school chess team who invites
The Queen's Gambit (miniseries)
The_Queen's_Gambit_(miniseries)
English chess grandmaster (born 1955)
(born 25 April 1955) is an English chess grandmaster, a three-time world champion in chess problem solving, a chess writer and publisher, and a mathematician
John_Nunn
Computer hardware and software capable of playing chess
Computer chess includes both hardware (dedicated computers) and software capable of playing chess. Computer chess provides opportunities for players to
Computer_chess
Competition to determine the World Chess Champion
are also chess world championships in rapid, blitz, correspondence, problem solving, Fischer random chess and computer chess. The game of chess in its modern
World_Chess_Championship
Problems which attempt to find the most efficient way to pack objects into containers
Discrete Mathematics. 145 (1–3): 333–342. doi:10.1016/0012-365X(95)90139-C. Honsberger, Ross (1976). Mathematical Gems II. The Mathematical Association
Packing_problems
Mathematical puzzle
The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without
Nine_dots_puzzle
Sequence of operations for a task
solving mathematical problems have been recorded since antiquity. This includes in Babylonian mathematics (around 2500 BC), Egyptian mathematics (around
Algorithm
Mathematical concept
infinity is a mathematical concept, and infinite mathematical objects can be studied, manipulated, and used just like any other mathematical object. The
Infinity
Fairy Chess Review (FCR) was a British magazine devoted principally to fairy chess problems, but also included extensive original results on related questions
Fairy_Chess_Review
English chess variant inventor (1897–1974)
December 1974) was an English chess enthusiast and prolific chess variant inventor, his most renowned variants being Alice chess and Racing Kings. Many of
V._R._Parton
15th c. Franciscan Friar, mathematician and publisher of accounting treatise
left-handed. De viribus quantitatis is divided into three sections: Mathematical problems, puzzles, and tricks, along with a collection of proverbs and verses
Luca_Pacioli
British mathematician (1916–2020)
inquisitive problem solver, Mathematical Association of America, ISBN 0883858061. 2020 (with Ezra A. Brown) The Unity of Combinatorics, Mathematical Association
Richard_K._Guy
Lyceum school in Saint Petersburg, Russia
World Chess champion in 1999 Stanislav Smirnov (1985–1987) – mathematician and recipient of Fields Medal in 2010 for his work on the mathematical foundations
Presidential Physics and Mathematics Lyceum No. 239
Presidential_Physics_and_Mathematics_Lyceum_No._239
Wikipedia page. Dexterity puzzle Ball-in-a-maze puzzle Brain teaser Chess puzzle Chess problem Computer puzzle game Cross Sums Crossword puzzle Cryptic crossword
List_of_puzzle_topics
Mathematical puzzle game
the problem of Benares Temple, Tower of Brahma or Lucas's Tower, and sometimes pluralized as Towers, or simply the pyramid puzzle) is a mathematical game
Tower_of_Hanoi
Question in combinatorial game theory
after the publication of Peter Winkler's book Mathematical Puzzles, which helped publicize the angel problem), there emerged four independent and almost-simultaneous
Angel_problem
Shape with three equal sides
(1965). 100 Great Problems of Elementary Mathematics. Dover Publications. Eves, Howard (2001). Mathematical Reminiscences. The Mathematical Association of
Equilateral_triangle
Canadian mathematician and gridiron football player (born 1991)
Mathematical Finance, Volume 2, no. 3, 1-20, 2013. John C. Urschel, Joseph R. Galante. "Instabilities in the Sun-Jupiter-Asteroid Three Body Problem"
John_Urschel
Programming a computer to play chess in Russian Mathematical Surveys. In addition to discussion of the mathematical problems involved, the paper includes
1970_in_video_games
Internet chess server
Chess.com is an internet chess server. The largest chess platform in the world, the site operates on a freemium model in which some features are available
Chess.com
Process of achieving a goal by overcoming obstacles
Sometimes a problem requires abstract thinking or coming up with a creative solution. Problem solving has two major domains: mathematical problem solving
Problem_solving
German mathematician (1862–1943)
developed important tools used in modern mathematical physics. He was a co-founder of proof theory and mathematical logic. Hilbert, the first of two children
David_Hilbert
French mathematician and chess player (1837–1916)
Moreau's necklace-counting function into mathematics, and achieved the worst result ever recorded in an international chess tournament. Colonel Moreau's military
Charles_Paul_Narcisse_Moreau
German mathematician
examination for teachers in pure and applied mathematics and physics. She went on to become an assistant at the Mathematical Institute in Göttingen. in 1930, Seynsche
Ingeborg_Seynsche
young children enjoy some mathematical practices, by the age of seven to ten many lose interest and begin to experience mathematical anxiety. Constructivism
Modern_elementary_mathematics
German chess player (1818–1879)
important figure in the development of chess problems, driving forward the transition from the "Old School" of problem composition to the elegance and complexity
Adolf_Anderssen
American mathematician (1916–2001)
Mathematical Theory of Communication, but Shannon's subsequent logic, mathematics, and expressive precision was responsible for defining the problem itself
Claude_Shannon
Pairing where no unchosen pair prefers each other over their choice
In mathematics, economics, and computer science, the stable matching problem is the problem of finding a stable matching between two equally sized sets
Stable_matching_problem
mathematics. These include mathematical research, mathematics education, the history and philosophy of mathematics, public outreach, and mathematics contests
List_of_women_in_mathematics
American mathematician
internet problem solving contest in 2015. Barton has won the Morgan Prize awarded jointly by the American Mathematical Society and the Mathematical Association
Reid_W._Barton
the first world computer chess champion Sergei Adian, known for his work in group theory, especially on the Burnside problem Aleksandr Aleksandrov, developer
List of Russian mathematicians
List_of_Russian_mathematicians
Romanian-American mathematician
Director of American Mathematics Competitions (as appointed by the Mathematical Association of America), Director of the Mathematical Olympiad Program, Head
Titu_Andreescu
Exceptionally precocious child
short-term memory strategies, used by normal people on complex mathematical problems, encoding and retrieval episodic memory strategies would be more
Child_prodigy
Observation that perception requires more computation than reasoning
challenging", such as chess, symbolic integration, proving mathematical theorems and solving complicated word algebra problems. "The things that children
Moravec's_paradox
Slovak chess problem composer and judge (1926-2019)
December 25, 2019) was a Slovak chess problem composer and judge. Lačný was born in Banská Štiavnica and studied mathematics, working as a teacher, and as
Ľudovít_Lačný
Russian chess grandmaster (born 1963)
is a Russian chess grandmaster, political activist, and writer, who was the World Chess Champion from 1985 to 2000. His peak FIDE chess rating of 2851
Garry_Kasparov
Whether a decision problem has an effective method to derive the answer
Hamkins, Joel David; Schlicht, Philipp (2012). "The Mate-in-n Problem of Infinite Chess Is Decidable". Conference on Computability in Europe. Lecture
Decidability_(logic)
British mathematician (1925–2015)
read mathematics at Peterhouse, Cambridge, and played first board for the Cambridge chess team, finishing in 1945. Despite his skill in mathematics, he
Klaus_Roth
Mathematical models of strategic interactions
Ho: What is Mathematical Game Theory; What is Mathematical Game Theory (#2); What is Mathematical Game Theory (#3); What is Mathematical Game Theory (#4)-Many
Game_theory
German logician and mathematician (1871–1953)
Mathematicians, David Hilbert challenged the mathematical community with his famous Hilbert's problems, a list of 23 unsolved fundamental questions which
Ernst_Zermelo
First chess champion of the United States
started the American Chess Magazine in 1846, which together with The Chess Palladium and Mathematical Sphinx were the first American chess magazines. However
Charles_Henry_Stanley
1957 – December 1980), Martin Gardner wrote 288 consecutive monthly "Mathematical Games" columns for Scientific American magazine. During the next 5.5
List of Martin Gardner Mathematical Games columns
List_of_Martin_Gardner_Mathematical_Games_columns
American mathematician and logician (1919–2017)
study of modern abstract algebra. At this time he composed a number of chess problems which were published many years later; he also learned magic. At the
Raymond_Smullyan
American academic and Nobel Laureate (1916–2001)
Human Problem Solving, 1972 K. A. Ericsson and H. A. Simon, Protocol Analysis: Verbal Reports as Data, 1993 Chase and Simon. "Perception in Chess". Cognitive
Herbert_A._Simon
Algorithm for solving a puzzle or game in the fewest possible moves
puzzle, but which can also be applied to other combinatorial puzzles and mathematical games. It refers to any algorithm which produces a solution having the
God's_algorithm
MATHEMATICAL CHESS-PROBLEM
MATHEMATICAL CHESS-PROBLEM
Boy/Male
Australian, Vietnamese
Complete; Mathematics
Girl/Female
Indian
Purity, Righteousness, Honesty, Chest
Girl/Female
Muslim
Purity, Righteousness, Honesty, Chest
Girl/Female
Arabic, Muslim, Slavic
At Peace
Girl/Female
Tamil
Mathematician
Girl/Female
Muslim
Purity, Righteousness, Honesty, Chest
Boy/Male
Bengali, Hindu, Indian, Kannada, Marathi, Sanskrit, Telugu
One who Calculates; Astrologer; Mathematician
Boy/Male
Arabic, Muslim, Parsi
Peaceful
Surname or Lastname
English (Gloucestershire)
English (Gloucestershire) : unexplained.
Girl/Female
Arabic, Indian, Muslim, Parsi
A Flower; Nasturtium; Indian Cress
Girl/Female
Slavic
At peace.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Telugu
Mathematician
Boy/Male
Tamil
Chest
Boy/Male
American, Australian, British, English
Camp of the Soldiers
Boy/Male
British, English
Makes Chests
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Telugu
An Astrologer; Mathematician
Girl/Female
Hindu
Mathematician
Boy/Male
British, English
Famous; Special
Girl/Female
Indian
Purity, Righteousness, Honesty, Chest
Boy/Male
Hindu
Chest
MATHEMATICAL CHESS-PROBLEM
MATHEMATICAL CHESS-PROBLEM
MATHEMATICAL CHESS-PROBLEM
MATHEMATICAL CHESS-PROBLEM
MATHEMATICAL CHESS-PROBLEM
MATHEMATICAL CHESS-PROBLEM
MATHEMATICAL CHESS-PROBLEM