Magic cubes: An extension of magic squares

Date of Publication

1996

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

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.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU07434

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

110 leaves

Keywords

Magic cubes; Mathematical recreations; Magic squares; Numbers, Theory of

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