In mathematics, the theory of Latin squares is an active research area with many open problems. As in other areas of mathematics, such problems are often...

Futoshiki Magic square Problems in Latin squares Rook's graph, a graph that has Latin squares as its colorings Sator Square Vedic square Word square Busby, Mattha...

orthogonal Latin squares is Graeco-Latin square, introduced by Euler. A Graeco-Latin square or Euler square or pair of orthogonal Latin squares of order n over...

proposed. As the theory of Latin squares is a cornerstone in the design of experiments, solving the problems in Latin squares could have immediate applicability...

entries satisfying a summation condition Problems in Latin squares – open questions concerning Latin squares The lonely runner conjecture – if k {\displaystyle...

mutually orthogonal doubly diagonal Graeco-Latin squares. Odd squares: For the 3×3 odd square, since α, β, and γ are in arithmetic progression, their sum is...

The number of Latin squares as a function of the order (independent of the set from which the entries are drawn) (sequence A002860 in the OEIS) provides...

Latin squares and finite quasigroups are equivalent mathematical objects, although the former has a combinatorial nature while the latter is more algebraic...

two squares, moreover, are mutually orthogonal. In general, the Latin squares produced in this way from an orthogonal array will be orthogonal Latin squares...

mathematics, such problems are often made public at professional conferences and meetings. Many of the problems posed here first appeared in the Loops (Prague)...

squares filter, in minimisation Regularized least squares, for solving least-squares problems Reef Life Survey, a marine monitoring program in Tasmania Restless...

whether a square can be inscribed in every simple closed curve. Several problems of squaring the square involve subdividing squares into unequal squares. Mathematicians...

of sets and relations corresponds to solving combinatorical problems involving Latin squares. Dagger commutative Frobenius algebras on qubits must be either...

and M.M. Tanik. Obtaining n-queens solutions from magic squares and constructing magic squares from n-queens solutions. Journal of Recreational Mathematics...

or more equal squares edge to edge. It is a polyform whose cells are squares. It may be regarded as a finite subset of the regular square tiling. Polyominoes...

are: squares equal roots (ax2 = bx) squares equal number (ax2 = c) roots equal number (bx = c) squares and roots equal number (ax2 + bx = c) squares and...

fewer Sudoku grids than Latin squares because Sudoku imposes additional regional constraints. As in the case of Latin squares the (addition- or) multiplication...

published. In the context of statistical sampling, a square grid containing sample positions is a Latin square if (and only if) there is only one sample in each...

containing a five-word Latin palindrome. The earliest squares were found at Roman-era sites, all in ROTAS-form (where the top line is "ROTAS", not "SATOR")...

Latin phrases. Some of the phrases are themselves translations of Greek phrases. This list is a combination of the twenty page-by-page "List of Latin...

The Book of Squares, (Liber Quadratorum in the original Latin) is a book on algebra by Leonardo Fibonacci, published in 1225. It was dedicated to Frederick...

of Latin squares. Denote by Kn,n the complete bipartite graph on n + n vertices. Every proper n-edge coloring of Kn,n corresponds to a Latin square of...

[how?] He also did work in number theory and found a method of constructing magic squares. In the second edition of his Problèmes plaisants (1624) he gives...

integers) squares equal roots (ax2 = bx) squares equal number (ax2 = c) roots equal number (bx = c) squares and roots equal number (ax2 + bx = c) squares and...

squares consisting of arbitrary phrases containing dictionary words are relatively easy to construct; they too are not considered true word squares,...

of amateur mathematicians Prouhet-Tarry-Escott problem Tarry point Tetramagic square From Latin Squares to Sudoku:A History of Magic Numbers Archived 2008-10-01...

of a Superstar" October 5, 2014 (2014-10-05) When Latin pop star Selena is found bleeding to death in a hotel lobby, authorities begin to suspect that...

commonly known problems that are NP-complete when expressed as decision problems. As there are thousands of such problems known, this list is in no way comprehensive...

piece in the game of chess, represented by a horse's head and neck. It moves two squares vertically and one square horizontally, or two squares horizontally...

pɾet̪t̪͡s̪i'ɔːsi kwɛm in̺ ˈmun̪d̪i ˈpɾɛt̪ː͡s̪ium ˈfɾukt̪us ˈvɛn̪t̪ɾis d͡ʒen̺eˈɾɔːsi ˈɾɛks efˈfuːd̪it̪ ˈd͡ʒen̪t̪͡s̪ium] Latin alphabet Latin grammar Latin regional...