Book:W.S. Andrews/Magic Squares and Cubes/Second Edition

Subject Matter

 * Magic squares

Contents

 * Publishers' Preface


 * Introduction. By


 * Chapter I. Magic Squares
 * The Essential Characteristics of Magic Squares
 * Associated or Regular Magic Squares of Odd Numbers
 * Associated or Regular Magic Squares of Even Numbers
 * Construction of Even Magic Squares by De La Hire's Method
 * Composite Magic Squares
 * Concentric Magic Squares
 * General Notes on the Construction of Magic Squares


 * Chapter II. Magic Cubes. By
 * The Essential Characteristics of Magic Cubes
 * Associated or Regular Magic Cubes of Odd Numbers
 * Associated or Regular Magic Cubes of Even Numbers
 * General Notes on Magic Cubes


 * Chapter III. The Franklin Squares. By
 * An Analysis of the Franklin Squares, By


 * Chapter IV. Reflections on Magic Squares. By
 * The Order of Figures
 * Magic Squares in Symbols
 * The Magic Square in China
 * The Jaina Square


 * Chapter V. A Mathematical Study of Magic Squares. By
 * A New Analysis
 * Notes on Number Series Used in the Construction of Magic Squares


 * Chapter VI. Magics and Pythagorean Numbers. By
 * Mr. Browne’s Square and lusus numerorum. By


 * Chapter VII. Some Curious Magic Squares and Combinations. By


 * Chapter VIII. Notes on Various Constructive Plans by which Magic Squares May be Classified. By
 * The Mathematical Value of Magic Squares. By


 * Chapter IX. Magic Cubes of the Sixth Order
 * A "Franklin" Cube of Six. By
 * A Magic Cube of Six. By
 * Magic Cube of Six. By


 * Chapter X. Various Kinds of Magic Squares
 * Overlapping Magic Squares. By
 * Oddly-Even Magic Squares. By
 * Notes on Oddly-Even Magic Squares. By
 * Notes on Pandiagonal and Associated Magic Squares. By
 * Serrated Magic Squares. By
 * Lozenge Magic Squares. By


 * Chapter XI. Sundry Constructive Methods
 * A New Method for Making Magic Squares of Odd Orders. By
 * The Construction of Magic Squares and Rectangles by the Method of Complementary Differences. By
 * Notes on the Construction of Magic Squares of Orders in which $n$ is of the General Form $4 n + 2$. By and
 * Notes on the Construction of Magic Squares of Orders in which n is of the General Form $8 n + 2$. By
 * Geometric Magic Squares and Cubes. By


 * Chapter XII. The Theory of Reversions. By


 * Chapter XIII. Magic Circles, Spheres and Stars
 * Magic Circles. By
 * Magic Spheres. By
 * Magic Stars. By


 * Chapter XIV. Magic Octahedroids
 * Magic in the Fourth Dimension. By
 * Fourfold Magics. By


 * Chapter XV. Ornate Magic Squares
 * General Rule for Constructing Ornate Magic Squares of Orders $= 0 \pmod 4$. By
 * Ornate Magic Squares of Composite Odd Orders. By
 * The Construction of Ornate Magic Squares of Orders $8$, $12$ and $16$ by Tables. By
 * The Construction of Ornate Magic Squares of Order $16$ by Magic Rectangles. By
 * Pandiagonal-Concentric Magic Squares of Orders $4 m$, By


 * Index


 * Diagrams of Completed Magics