Some comments on Latin squares and on Graeco-Latin squares, illustrated with postage stamps and old playing cards
DOI10.1007/s00362-009-0261-5zbMath1247.05004OpenAlexW2062757447MaRDI QIDQ451356
George P. H. Styan, Ka Lok Chu, Christian Boyer
Publication date: 23 September 2012
Published in: Statistical Papers (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00362-009-0261-5
historybibliographyMOLSmutually orthogonal Latin squaresmagic squaresLeonhard EulerBachet's squarebi-squarediagonal Latin squares of order 6Euler squaresEuler's conjectureEulerian squaresGraeco-Roman squaresJózsef Dénesknight's move designknight's tourRaj Chandra Bosethirty-six officers problemtopical philatelyWeißwurst Äquator
Optimal statistical designs (62K05) Orthogonal arrays, Latin squares, Room squares (05B15) History of mathematics in the 18th century (01A50) Statistical block designs (62K10) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Factorial statistical designs (62K15) History of mathematics in the 17th century (01A45) History of combinatorics (05-03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A simple method for constructing doubly diagonalized Latin squares
- On constructing doubly diagonalized latin squares
- A complete solution to the existence and nonexistence of Knut Vik designs and orthogonal Knut Vik designs
- Construction of Knut Vik designs
- Knight's move squares
- Efficient Semi-Latin Rectangles: Designs for Plant Disease Experiments
- Modeling Mathematics with Playing Cards
- ON THE FALSITY OF EULER'S CONJECTURE ABOUT THE NON-EXISTENCE OF TWO ORTHOGONAL LATIN SQUARES OF ORDER 4t + 2
- ORTHOGONAL LATIN SQUARES
- On the Nonrandomized Optimality and Randomized Nonoptimality of Symmetrical Designs
- On the Construction of Sets of Mutually Orthogonal Latin Squares and the Falsity of a Conjecture of Euler
- Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
- On Methods of Constructing Sets of Mutually Orthogonal Latin Squares Using a Computer. II
- Sudoku, Gerechte Designs, Resolutions, Affine Space, Spreads, Reguli, and Hamming Codes
- Irregular arrays and randomization
- Magic squares of order four
- The basic contrasts of an experimental design with special reference to the analysis of data
- A Non-Parametric Extension of a Cluster Analysis Method by Scott and Knott
- On Double Diagonal and Cross Latin Squares
- Dicing with Death
- Orthogonal Collections of Latin Squares
- A Cluster Analysis Method for Grouping Means in the Analysis of Variance
- R. A. Fisher and Experimental Design: A Review
- Benjamin Franklin's Numbers
- Block designs: a randomization approach. Vol. 1: Analysis
