Magic squares

GPTKB entity

Statements (51)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:art
Numerology
Mathematical recreation
gptkbp:defines A square array of numbers where the sums of every row, column, and main diagonal are equal
gptkbp:field gptkb:Mathematics
Combinatorics
gptkbp:historicalPeriod gptkb:Islamic_mathematics
gptkb:Ancient_India
gptkb:Ancient_China
https://www.w3.org/2000/01/rdf-schema#label Magic squares
gptkbp:minimum_order 3
gptkbp:notableExample gptkb:Dürer's_magic_square
gptkb:Lo_Shu_Square
gptkbp:order_1 Trivial magic square
gptkbp:order_2 No solution exists
gptkbp:order_3 gptkb:Lo_Shu_Square
gptkbp:property gptkb:Symmetry
gptkb:Associative_magic_square
gptkb:Bimagic_square
gptkb:Complementary_magic_square
gptkb:Most-perfect_magic_square
gptkb:Multimagic_square
gptkb:Panmagic_square
gptkb:Semi-magic_square
gptkb:Singular_magic_square
Transposition
Permutation
Consecutive integers
Constructed by algorithms
Magic constant
Magic constant formula: n(n^2+1)/2
Magic square of order n has n^2 cells
Magic sum
Normal magic square
Order n
Trimagic square
Unique up to rotation and reflection
Used in art and architecture
Used in magic and mysticism
Used in puzzles
n x n grid
gptkbp:relatedConcept gptkb:Latin_square
gptkb:Magic_cube
gptkb:Sudoku
gptkbp:supportsAlgorithm gptkb:Bachet's_method
gptkb:De_la_Loubère's_method
gptkb:Strachey's_method
Siamese method
gptkbp:bfsParent gptkb:mathematical_games
gptkbp:bfsLayer 6