Magic cubes: An extension of magic squares

• Main Authors: Andres, Jeremias C., Ribay, Maureen R.
• Format: text
• Language: English
• Published: Animo Repository 1996
• Subjects: Magic cubes; Mathematical recreations; Magic squares; Numbers, Theory of
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16290
• Institution: De La Salle University

This paper aims to relate and make extensions of the theories involved in the construction of magic squares into magic cubes, in particular the doubly-even and odd order magic cubes.A magic square can be defined as a square arrangement of integers from 1 to n2, wherein rows, columns, and diagonals have the same sum. Only two methods of construction were used in extending the construction from magic squares to magic cubes. The De La Loubere's rule for odd order magic squares and Agrippa's solution for doubly-even magic squares.Moreover, the computer program has been constructed to make vivid the construction of doubly-even and odd order magic cubes and to help the researchers and the readers to visualize the magic cube specifically the odd order magic cube, n = 3 and doubly-even magic cube, n = 4.