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Square of numbers with equal row, column and diagonal totals
mathematics, especially historical and recreational mathematics, a magic square is a square array of numbers, usually positive integers, where the sums of
Magic_square
Unsolved problem in mathematics
a three-by-three magic square from nine distinct integer squares? More unsolved problems in mathematics The magic square of squares is an unsolved problem
Magic_square_of_squares
Relation between Lie algebras depicted as a square
In mathematics, the Freudenthal magic square (or Freudenthal–Tits magic square) is a construction relating several Lie algebras (and their associated Lie
Freudenthal_magic_square
Detail in the 1514 engraving Melencolia I
Albrecht Dürer's magic square is one of the most famous Magic squares and is depicted in Albrecht Dürer's engraving Melencolia I. The Dürer square is a symmetrical
Albrecht_Dürer's_magic_square
Magic square with extra constraints
A pandiagonal magic square or panmagic square (also diabolic square, diabolical square or diabolical magic square) is a magic square with the additional
Pandiagonal_magic_square
Roman-era word square with a Latin palindrome
The Sator Square (also called the Rotas-Sator Square or the Templar Magic Square) is a two-dimensional acrostic class of word square containing a five-word
Sator_Square
Methods of constructing magic squares
Over the millennia, many ways to construct magic squares have been discovered. These methods can be classified as general methods and special methods
Constructions of magic squares
Constructions_of_magic_squares
Form of magic squares using shapes
magic square, often abbreviated to geomagic square, is a generalization of magic squares invented by Lee Sallows in 2001. A traditional magic square is
Geometric_magic_square
Constant used in a magic square
The magic constant or magic sum of a magic square is the sum of numbers in any row, column, or diagonal of the magic square. For example, the magic square
Magic_constant
Ancient Chinese diagram
of writing by Cangjie and other culture heroes. It is a unique normal magic square of order three. It is usually paired with the River Map or Hetu—named
Luoshu_Square
Strachey method for magic squares is an algorithm for generating magic squares of singly even order 4k + 2. An example of magic square of order 6 constructed
Strachey method for magic squares
Strachey_method_for_magic_squares
Area in Disney World in Florida, U.S.
Liberty Square is one of six "themed lands" and is exclusive to the Magic Kingdom, a theme park at the Walt Disney World Resort in Bay Lake, Florida.
Liberty Square (Magic Kingdom)
Liberty_Square_(Magic_Kingdom)
Natural number
normal magic square, called the Luoshu square. All integers n ≥ 34 {\displaystyle n\geq 34} can be expressed as the sum of five non-zero squares. There
5
Mathematical concept of arrangement of numbers in a square
associative magic square is a magic square for which each pair of numbers symmetrically opposite to the center sum up to the same value. For an n × n square, filled
Associative_magic_square
Natural number
magic square using only 1 and prime numbers has a magic constant of 111: Also, a six-by-six magic square using the numbers 1 to 36 also has a magic constant
111_(number)
Mathematical object
consecutive integers. The smallest antimagic squares have order 4. Antimagic squares contrast with magic squares, where each row, column, and diagonal sum
Antimagic_square
Type of magic square
A prime reciprocal magic square is a magic square using the decimal digits of the reciprocal of a prime number. Consider a unit fraction, like 1/3 or 1/7
Prime_reciprocal_magic_square
1514 engraving by Albrecht Dürer
geometry or numerology. Behind the figure is a structure with an embedded magic square, and a ladder leading beyond the frame. The sky contains a rainbow, a
Melencolia_I
Mathematical concept
In mathematics, a magic cube is the 3-dimensional equivalent of a magic square, that is, a collection of integers arranged in an n × n × n pattern such
Magic_cube
Algorithm for creating magic squares
Conway's LUX method for magic squares is an algorithm by John Horton Conway for creating magic squares of order 4n+2, where n is a natural number. Start
Conway's LUX method for magic squares
Conway's_LUX_method_for_magic_squares
Magical symbol
special use case of magic squares—the names of the spirits were converted to numbers, which were then located on the magic square. The locations were
Sigil
Words can be read horizontally and vertically
numerical magic square, though apart from the fact that both use square grids there is no real connection between the two. The first-century Sator Square is
Word_square
Square array with symbols that each occur once per row and column
squares. The Korean mathematician Choi Seok-jeong was the first to publish an example of Latin squares of order nine, in order to construct a magic square
Latin_square
Concept in quantum entanglement
an experimental confirmation of Bell inequality violations. A simple magic square game demonstrating nonclassical correlations was introduced by P. K.
Quantum_pseudo-telepathy
Basilica under construction since 1882 in Barcelona, Spain
Ascension of Jesus. The façade contains a magic square based on the magic square in the 1514 print Melencolia I. The square is rotated and one number in each
Sagrada_Família
Online database of integer sequences
to form an n × n magic square of least magic constant, or 0 if no such magic square exists." The value of a(1) (a 1 × 1 magic square) is 2; a(3) is 1480028129
On-Line Encyclopedia of Integer Sequences
On-Line_Encyclopedia_of_Integer_Sequences
Chinese mathematical arrangement
1275. His magic circle series includes: magic 5 circles in square, 6 circles in ring, magic eight circle in square magic concentric circles, magic 9 circles
Magic_circle_(mathematics)
Temple in Khajuraho, India
Vaishnavaite themes. The entrance has an inscription with a most-perfect magic square. It is part of a UNESCO World Heritage Site along with other temples
Parshvanatha temple, Khajuraho
Parshvanatha_temple,_Khajuraho
Most-perfect magic square Geometric magic square Conway's Lux method for magic squares Magic cube Perfect magic cube Semiperfect magic cube Bimagic cube
List of recreational number theory topics
List_of_recreational_number_theory_topics
Natural number
factorized using Shor's quantum algorithm. the magic constant of the unique order-3 normal magic square. the number of supersingular primes. the smallest
15_(number)
Device used in astrology in Tamil Nadu
magic square of order 4 with certain special properties. This magic square belongs to a certain class of magic squares called strongly magic squares (or
Sriramachakra
Data
A most-perfect magic square of order n is a magic square containing the numbers 1 to n2 with two additional properties: Each 2 × 2 subsquare sums to 2s
Most-perfect_magic_square
Logic-based number-placement puzzle
and named it carré magique diabolique ("diabolical magic square"). It simplified the 9×9 magic square puzzle so that each row, column, and broken diagonals
Sudoku
Shape with four equal sides and angles
3,\dots } these numbers are: 1, 1, 3, 11, 51, 245, 1372, ... A magic square is a square array of numbers, where the sums of the positive numbers in each
Square
Natural number
title and the album's title song. Is the magic sum, or sum of the magic constants of a six by six magic square, any row or column of which adds up to 111
666_(number)
1981 studio album by Teena Marie
noted. "It Must Be Magic" – 6:03 "Revolution" – 4:27 "Where's California" – 5:24 "365" – 4:10 "Opus III (Does Anybody Care)" – 1:27 "Square Biz" (Marie, Allen
It_Must_Be_Magic
Book by Abraham of Worms
involves strict purity practices, prayer, and the use of magic word squares. The practical magic of Abramelin (found in both Book III of the French text
The_Book_of_Abramelin
Natural number
fifty-seventh semiprime is 177 (after the square of 13), and it is the 51st semiprime with distinct prime factors. The magic constant M {\displaystyle M} of the
177_(number)
1981 studio album by T-Square
Magic is the fifth studio album by Japanese Jazz fusion band T-Square, who were then known as The Square. It was released on November 1, 1981. Sources
Magic_(T-Square_album)
who created the magic square of Ithiel,[unreliable source?] has used it to derive an evocation of Ithiel that can be used in magic ritual. The words
Ithiel
Paper-and-pencil game for two players
"TicTacToe Magic" (PDF). Archived from the original (PDF) on December 20, 2016. Retrieved December 17, 2016. "Tic-Tac-Toe as a Magic Square". Oh Boy! I
Tic-tac-toe
equations into a magic square (i.e. a matrix) and performing column reducing operations on the magic square. The earliest known magic squares of order greater
History_of_algebra
Type of magic square
In mathematics, a P-multimagic square (also known as a satanic square) is a magic square that remains magic even if all its numbers are replaced by their
Multimagic_square
Magical practice involving evocation of spirits
consensus on their decipherment. There is also a medieval-era Templar Magic Square in the Rivington Church in Lancashire, England. Scholars have found medieval
Goetia
Natural number
first 54 primes 6089 – highly cototient number 6095 – magic constant of n × n normal magic square and n-Queens Problem for n = 23. 6101 – Sophie Germain
6000_(number)
Natural number
excluding mirror images. 34 is the magic constant of a 4 × 4 {\displaystyle 4\times 4} normal magic square, and magic octagram (see accompanying images);
34_(number)
Natural number
number. 4005 – triangular number 4007 – safe prime 4010 – magic constant of n × n normal magic square and n-queens problem for n = 20 4013 – balanced prime
4000_(number)
French football player administrator and player (born 1955)
Giresse, Luis Fernández and Jean Tigana, he formed the carré magique (magic square) of the French team in the 1980s. Platini was his country's record goalscorer
Michel_Platini
Natural number
non-normal prime reciprocal magic square in decimal whose rows, columns and diagonals — in a 18 x 18 array — all generate a magic constant of 81 = 92. 19
19_(number)
Indian recreational mathematician (1905–1986)
published extensively, writing about such topics as recurring decimals, magic squares, and integers with special properties.[citation needed] Working largely
D._R._Kaprekar
Men's association football team
Tigana, Alain Giresse and Luis Fernández, formed the "carré magique" ("Magic Square"), which would haunt opposing defenses beginning at the 1982 World Cup
France_national_football_team
Magic square with extra constraints
An alphamagic square is a magic square that remains magic when its numbers are replaced by the number of letters occurring in the name of each number
Alphamagic_square
Arithmetic operations
numbers. A magic square of squares is a magic square formed by squares of numbers. It is not known whether there are any magic squares of squares of order
Lunar_arithmetic
Mathematical problem
constructing Graeco-Latin squares (it does not construct them by itself) at cut-the-knot Anything but square: from magic squares to Sudoku Historical facts
Mutually orthogonal Latin squares
Mutually_orthogonal_Latin_squares
smaller cards and draftsman and student of mathematics, providing many Magic Number Squares to the Ripley's Believe it or Not! syndicated newspaper feature.
Ben_F._Laposky
Line connecting two vertices that are not on the same face
+ 5 ) / 2 {\displaystyle (1+{\sqrt {5}})/2} . A magic square is an arrangement of numbers in a square grid so that the sum of the numbers along every
Space_diagonal
Natural number
{\displaystyle {\tfrac {1}{181}}} inside a prime reciprocal magic square repeat 180 digits with a magic sum M {\displaystyle M} of 810; this value is one less
181_(number)
Mathematical process for constructing magic squares
method, is a simple method to construct any size of n-odd magic squares (i.e. number squares in which the sums of all rows, columns and diagonals are identical)
Siamese_method
Household symbolism in Hinduism
A kuberakolam, rendered kubera kolam, is a magic square of order three constructed using rice flour and drawn on the floors of several houses in South
Kuberakolam
Having both male and female characteristics
architect Claude Fayette Bragdon expressed the concept mathematically as a magic square, using it as building block in many of his most noted buildings. In the
Androgyny
Divination, magic, and occultism in Islam
called barakah. Popular forms of talisman include the construction of Magic squares and Talismanic shirts, believed to invoke divine favor by inscribing
Islam_and_magic
Topics referred to by the same term
1956 paper by George Miller Magic constant, the sum in a magic square Numerology, the belief that numbers can have magic properties This disambiguation
Magic_number
Mathematical game
seen by reference to a 3x3 magic square: if a player has selected three numbers which can be found in a line on a magic square, they will add up to 15.
Number_Scrabble
Generalization of a magic square
In mathematics, a magic hypercube is the k-dimensional generalization of magic squares and magic cubes, that is, an n × n × n × ... × n array of integers
Magic_hypercube
Early handheld electronic video game
Tic tac toe Music machine Echo, a game similar to Simon Blackjack 13 Magic square, a pattern game similar to Lights Out Mindbender, a game similar to Mastermind
Merlin_(console)
13th-century book by Ahmad al-Buni
Voldemont as Shams al-Ma'arif: Talismans and Magic Squares. It focuses primarily on the talismans and magic squares contained within the text. Outside of the
Shams_al-Ma'arif
Grimoire of the 16th century
magical sigils for the use on talismans or amulets. Sigill Lunae, a 9×9 magic square (sum 369), to be inscribed on a silver talisman It was first printed
Archidoxis_magica
Japanese boys' love manga series
Cherry Magic! Thirty Years of Virginity Can Make You a Wizard?! (Japanese: 30歳まで童貞だと魔法使いになれるらしい, Hepburn: Sanjūsai made Dōtei Da to Mahōtsukai ni Nareru
Cherry Magic! Thirty Years of Virginity Can Make You a Wizard?!
Cherry_Magic!_Thirty_Years_of_Virginity_Can_Make_You_a_Wizard?!
Theme park at Walt Disney World
Fantasyland, and Tomorrowland), and Liberty Square, exclusive to the Magic Kingdom (rather than the New Orleans Square at Disneyland). The Walt Disney Company
Magic_Kingdom
Japanese web novel series and its franchise
The Irregular at Magic High School (Japanese: 魔法科高校の劣等生, Hepburn: Mahōka Kōkō no Rettōsei; lit. "The Poor Performing Student of a Magic High School") is
The Irregular at Magic High School
The_Irregular_at_Magic_High_School
there are probably no magic squares in the cube. Magic square Magic cube classes Pickover, Clifford A. (2002). The Zen of Magic Squares, Circles, and Stars:
Simple_magic_cube
Branch of natural philosophy
medieval period. Discovered first in China before the Common Era, the "magic square of three" was propagated to followers of Jabir ibn Hayyan at some point
Alchemy
Puzzles involving the assembly of flat shapes
chessboard problem is one example Eternity puzzle Geometric magic square Puzz-3D Squaring the square Tantrix T puzzle Many three-dimensional mechanical puzzles
Tiling_puzzle
Natural number
years for men" Square, The Magic. "The Magic Square Info". The Magic Square Info. Retrieved 2023-07-08. Browne, C. A. (1906). "Magic Squares and Pythagorean
9855
Natural number
prime number, 157. The smallest magic square, using only primes and 1, contains 37 as the value of its central cell: Its magic constant is 37 x 3 = 111, where
37_(number)
A magic series is a set of distinct positive integers which add up to the magic constant of a magic square and a magic cube, thus potentially making up
Magic_series
references for magic labellings and magic graphs are Gallian (1998), Wallis (2001), and Marr and Wallis (2013). A semimagic square is an n × n square with the
Magic_graph
Magic cube with extra constraints
"Perfect Magic Cubes". www.trump.de. Retrieved 4 December 2016. "Magic Cube Timeline". www.magic-squares.net. Retrieved 4 December 2016. "Magic Cubes Index
Perfect_magic_cube
Indian mathematician and physicist
Madhava Rao personally. Two of his order-8 magic squares — an associative square and a Nasik (pandiagonal) square — were published posthumously in 2016 by
B._S._Madhava_Rao
Japanese video game company
of Mana: Series creator Koichi Ishii looks back on three decades of magic". Square Enix.{{cite web}}: CS1 maint: deprecated archival service (link) Basire
Square_(video_game_company)
Natural number
prime 9841 – star number 9850 – decagonal number 9855 – magic constant for a 27×27 magic square, probably of numerological significance in Ancient Greece
9000_(number)
Natural number
the Mertens function returns 0. This number is the magic constant of a 5×5 normal magic square: [ 17 24 1 8 15 23 5 7 14 16 4 6 13 20 22 10 12 19 21
65_(number)
French diplomat, writer and mathematician (1642–1729)
introduced Europe to Indian astronomy, the "Siamese method" of making magic squares, and one of the earliest descriptions of parachutes. Simon de la Loubère
Simon_de_la_Loubère
Collectible card game
Magic: The Gathering (colloquially known as Magic or MTG) is a collectible, tabletop, and digital collectible card game created by Richard Garfield. It
Magic:_The_Gathering
Special arrangement of numbers on a star
ISBN 9780787292966. magic star math. "Magic Stars Index Page". www.magic-squares.net. Retrieved 2017-01-14. Marian Trenkler's Magic Stars Gianni Sarcone's Magic Star
Magic_star
Bouchat can be viewed as P(n,2) magic polygons. They also defined degenerated magic polygons. Magic square "Perimeter Magic Polygons". www.trottermath.net
Magic_polygon
Arab mathematician, philosopher and Sufi
construct magic squares using a simple bordering technique, but he may not have discovered the method himself. Al-Buni wrote about Latin squares and constructed
Ahmad_al-Buni
of magic cubes may contain some simple magic squares and/or pandiagonal magic squares, but not enough to satisfy any other classifications. The magic constant
Pantriagonal_magic_cube
Aspect of ancient Roman culture
handsome― a guy who could beat you up and who is good-looking. Word squares (magic square) and riddles are also common forms of the culture of graffiti. In
Roman_graffiti
mathematics and the theory of magic squares, a broken diagonal is a set of n cells forming two parallel diagonal lines in the square. Alternatively, these two
Broken_diagonal
Natural number
110 + 210 + 210. Sum of 9 positive 10th powers 2056 – magic constant of n × n normal magic square and n-queens problem for n = 16 2057 = 110 + 110 + 110
2000_(number)
Ancient Chinese diagram
says that the River Plan is proven "beyond a reasonable doubt" to be a magic square. He connects it to the mingtang halls of worship, saying that they share
Yellow_River_Map
Natural number
a unit facet in an irregular tiling. Andrews, William Symes (1960). Magic Squares and Cubes (PDF) (2nd ed.). New York: Dover Publications. p. 65. doi:10
42_(number)
Prime number p where p+2 is prime or semiprime
primes are Chen primes. Rudolf Ondrejka discovered the following 3 × 3 magic square of nine Chen primes: As of March 2018[update], the largest known Chen
Chen_prime
a mathematical scholarly manuscript of procedures for constructing magic squares up to the order 11. Muhammad al-Kishnawi's origins are unclear but his
Muhammad ibn Muhammad al-Kishnawi
Muhammad_ibn_Muhammad_al-Kishnawi
Solid with six equal square faces
every three-dimensional convex body has a circumscribed cube Magic cube, a magic square in three-dimensional version Schläfli double six, a configuration
Cube
Natural number
natural number following 368 and preceding 370. 369 is the magic constant of the 9 × 9 magic square and the n-Queens Problem for n = 9. There are 369 free
369_(number)
Categories of number cubes
be a simple magic square. The 6 oblique squares are also simple magic. The smallest normal diagonal magic cube is order 5. These squares were referred
Magic_cube_classes
Topics referred to by the same term
2015 Magic (T-Connection album), 1977 Magic (T-Square album), 1981 Magic (Tom Browne album), 1981 Magic (Twins album), 2004 The Demis Roussos Magic, 1977
Magic
Sliding puzzle with fifteen pieces and one space
that were to be put together in rows of four, each summing to 34 (see magic square). Copies of the improved 15 puzzle made their way to Syracuse, New York
15_puzzle
MAGIC SQUARE
MAGIC SQUARE
Girl/Female
Indian, Tamil
A Kind of Flowering Tree
Boy/Male
Hindu, Indian, Sanskrit
Net of Indra; Magic
Boy/Male
Arabic
Servant of the glorious one.
Girl/Female
Indian, Modern, Tamil
Spirituality; Magic and Mysticism
Girl/Female
Tamil
Magic
Girl/Female
Norse
Odin's magic ring.
Girl/Female
Indian
Magic, Flower
Girl/Female
Arabic, Muslim, Pashtun
Dawn; Sunrise; Witchcraft; Magic
Boy/Male
Norse
A mythical magic boar.
Boy/Male
Hindu, Indian, Sanskrit
Net of Indra; Magic
Girl/Female
Hindu
Magic
Boy/Male
Arabic, Australian, French
Nobility of Faith; Magic
Boy/Male
Arabic, Australian, Muslim
Glorious
Girl/Female
Arabic, Muslim
A Rose; Magic; Flower
Girl/Female
Muslim/Islamic
Magic flower
Boy/Male
Indian, Modern
Magic
Girl/Female
Muslim
Magic, Flower
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sindhi, Tamil, Telugu
Miracle; Magic; Divine
Female
Arthurian
, a magic maiden ("sorceress").
Girl/Female
Indian, Tamil
Dancer with the Magic Bowl
MAGIC SQUARE
MAGIC SQUARE
Male
English
Old English surname transferred to unisex forename use, ADDISON means "son of Adam."Â
Girl/Female
Tamil
Varunika | வரà¯à®¨à®¿à®•à®¾
Goddess of rain
Boy/Male
Indian, Sanskrit, Tamil
Moon
Male
Hindi/Indian
(पà¥à¤°à¤®à¥‹à¤¦) Hindi name PRAMOD means "happiness, joy."
Girl/Female
American, Arabic, Australian, Chinese, Christian, Danish
Jasmine Flower
Girl/Female
Indian
Ascender, Exalted
Boy/Male
Hindu, Indian, Punjabi, Sikh
Love; Pyar; Never Shortage of Money; Popular
Girl/Female
Hindu, Indian
Laugh
Boy/Male
Hindu, Indian
Giving Light
Girl/Female
English
which is a.
MAGIC SQUARE
MAGIC SQUARE
MAGIC SQUARE
MAGIC SQUARE
MAGIC SQUARE
n. pl.
A caste of priests, philosophers, and magicians, among the ancient Persians; hence, any holy men or sages of the East.
n.
Witchcraft; magic; a spell.
n.
The practice of magic; enchantment.
n.
Impotence caused by magic or charms.
n.
The character or practices o/ wizards; sorcery; magic.
a.
Alt. of Magical
n.
The act or art of performing something wonderful; magic; legerdemain.
n.
A salt of malic acid.
n.
Power or effect of magic; that which is wrought by magic; enchantment.
n.
In later or modern magic, that species of magic in which effects are claimed to be produced by supernatural agency, in distinction from natural magic.
n.
A kind of magic lantern.
n.
A divine work; a miracle; hence, magic; sorcery.
n.
Magic in which the aid of demons is invoked; black or infernal magic.
n.
Necromancy; magic.
n.
Impishness; magic.
a.
A comprehensive name for all of the pretended arts which claim to produce effects by the assistance of supernatural beings, or departed spirits, or by a mastery of secret forces in nature attained by a study of occult science, including enchantment, conjuration, witchcraft, sorcery, necromancy, incantation, etc.
n.
The black art; magic.
a.
Pertaining to, or obtained from, apples; as, malic acid.
adv.
In a magical manner; by magic, or as if by magic.