Algorithms for Composing Magic Cubes

• Autorzy: Trenkler, M.
• Konferencja: X Polish-Czech Mathematical School (10 ; 04-07.06.2003 ; Poraj near Częstochowa, Poland)
• Języki publikacji: EN

Abstrakty

EN

A magie square (a square array containing natural numbers 1,2, ... , n² such that the sum of the numbers along every row, column and diagonal is the same) has fascinated people for centuries. In 1686, the Polish rnathematician Adamas Kochansky extended magic squares to three dimensions. An additive magic cube is a natural generalization of a magic square.

Słowa kluczowe

PL

algorytmy; magiczne kostki

EN

algorithms; magic cubes

• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2003
• Tom: Vol. 9
• Strony: 103--107
• Opis fizyczny: Bibliogr. 6 poz., tab.

Twórcy

autor

Trenkler, M.

• Department of Mathematics and Physics Catholic University Ružomberok, Slovak Republic,

Bibliografia

• [1] W.S. Andrews, Magie Squares and Cubes, Dover, New York, 1960.
• [2] D. Borkovitz, F.K. Hwang, Multiplicative magic squares, Discrete Mathematics 47, 1-11, 1983.
• [3] I. Semanišinová, Objavovanie čara maqických štvorcov, Disputationes Scientificae Universitatis Catholicae in Ružomberok 4, 86-92, 2002.
• [4] M. Trenkler, A construction of magic cubes, The Mathematical Gazette 84 36-41, 2002.
• [5] M. Trenkler, Magic p-dimensional cubes, Acta Arithmetica 96, 361-364,2001.
• [6] M. Trenkler, Súčinové magické štvorce a kocky, Obzory matematiky, fyziky a informatiky 1, 9-16, 2002.