Latin square

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
combinatorics
gptkbp:application cryptography
experimental design
puzzle design
error correcting codes
gptkbp:column_property each symbol appears once per column
gptkbp:defines an n × n array filled with n different symbols, each occurring exactly once in each row and exactly once in each column
gptkbp:example a 3x3 array with symbols A, B, C arranged so each appears once per row and column
gptkbp:field gptkb:mathematics
combinatorics
gptkbp:generalizes gptkb:Sudoku
https://www.w3.org/2000/01/rdf-schema#label Latin square
gptkbp:introducedIn 18th century
gptkbp:isSquareMatrix true
gptkbp:maximum_order unbounded
gptkbp:minimum_order 1
gptkbp:namedAfter gptkb:Latin_language
gptkbp:notation L(n)
gptkbp:order n
gptkbp:relatedTo gptkb:mutually_orthogonal_Latin_squares
gptkb:orthogonal_Latin_square
gptkbp:row_property each symbol appears once per row
gptkbp:studiedBy gptkb:Leonhard_Euler
gptkbp:symbol_count n
gptkbp:usedIn gptkb:geometry
design of experiments
statistical analysis
recreational mathematics
gptkbp:bfsParent gptkb:Cayley_table
gptkb:Sudoku
gptkbp:bfsLayer 6