1 citations · 2 across the 5 of their papers we have counts for
5 papers
Compound Lucas Magic Squares
Ronald P. Nordgren
We review a general parameterization of an order-3 magic square derived by Lucas and we compound it to produce a parameterized order-9 magic square. Sequential compounding to highe…
Commuting Magic Square Matrices
Ronald P. Nordgren
We review a known method of compounding two magic square matrices of order m and n with the all-ones matrix to form two magic square matrices of order mn. We show that these compou…
Simultaneous Diagonalization and SVD of Commuting Matrices
Ronald P. Nordgren
We present a matrix version of a known method of constructing common eigenvectors of two diagonalizable commuting matrices, thus enabling their simultaneous diagonalization. The ma…
Eulerian Composition of Certain Franklin Squares
Ronald P. Nordgren
Several specific Franklin squares and magic squares are decomposed into their quotient and remainder squares. The results support the conjecture that Franklin used the Eulerian com…
Pandiagonal and Knut Vik Sudoku Squares
Ronald P. Nordgren
We present systematic methods of constructing pandiagonal sudoku squares of order k*k and Knut Vik sudoku squares of order k*k not divisible by 2 or 3. Pandiagonal magic squares ar…