Selfie Numbers and Binomial Coefficients

During past years, author studied different types of “selfie numbers”, with extra operations as, factorial, square-root, Fibonacci sequence values, etc. This paper brings “selfie numbers” in terms of “binomial coefficients”. This has been done in digit’s order, reverse order of digits and in both ways. The results are limited to five digits. Below are examples examples and link for download the work: Link … Continue reading Selfie Numbers and Binomial Coefficients

Sites on Magic Squares

Aale de Winkel, The Magic Encyclopedia, http://magichypercubes.com/Encyclopedia/  Alan W. Grogono,  Grogono Magic Squares,  http://www.grogono.com/magic/ Arie Breedijk & Conny van der Voet, Magic Squares,  https://www.magischvierkant.com/specials-eng/ Bogdan Golunski, http://www.number-galaxy.eu/ Boyer, Christian, Multimagic Squares,  http://www.multimagie.com/indexengl.htm Campbell, Dwane H. and Keith A. Campbell, WELCOME TO MAGIC CUBE  GENERATOR,  http://magictesseract.com. Gaspalou, Francis “Magic Squares”  http://www.gaspalou.fr/magic-squares/ Heinz, Harvey “Magic Squares”  http://www.magic-squares.net/ Holger … Continue reading Sites on Magic Squares

Sites on Magic Squares

Aale de Winkel, The Magic Encyclopedia, http://magichypercubes.com/Encyclopedia/  Alan W. Grogono,  Grogono Magic Squares,  http://www.grogono.com/magic/ Bogdan Golunski, http://www.number-galaxy.eu/ Boyer, Christian, Multimagic Squares,  http://www.multimagie.com/indexengl.htm Campbell, Dwane H. and Keith A. Campbell, WELCOME TO MAGIC CUBE  GENERATOR, http://magictesseract.com. Gaspalou, Francis “Magic Squares” http://www.gaspalou.fr/magic-squares/ Heinz, Harvey “Magic Squares” http://www.magic-squares.net/ Holger Danielsson, Construction methos for magic squares, http://www.magic-squares.info/construction.html Knecht, Craig “Knecht Magic Squares”  … Continue reading Sites on Magic Squares

Block-Wise Equal Sums Pan Magic Squares of Order 4k

  This paper brings block-wise pan magic squares multiple of 4. The representations are in such a way that each block of order 4 is a perfect magic square of order 4 with equal sums. The work is written for the magic square of order 4, 8, 12, ..., 32. Applying the same procedure the … Continue reading Block-Wise Equal Sums Pan Magic Squares of Order 4k