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

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## W.S. Andrews:

## W.S. Andrews: *Magic Squares and Cubes (2nd Edition)*

Published $\text {1917}$

### Subject Matter

### Contents

- Publishers' Preface

- Introduction. By Paul Carus

- 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 W.S. Andrews
- 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 W.S. Andrews
- An Analysis of the Franklin Squares, By Paul Carus

- Chapter IV. Reflections on Magic Squares. By Paul Carus
- 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 L.S. Frierson
- A New Analysis
- Notes on Number Series Used in the Construction of Magic Squares

- Chapter VI. Magics and Pythagorean Numbers. By C.A. Browne
- Mr. Browneâ€™s Square and lusus numerorum. By Paul Carus

- Chapter VII. Some Curious Magic Squares and Combinations. By W.S. Andrews

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

- Chapter IX. Magic Cubes of the Sixth Order
- A "Franklin" Cube of Six. By H.M. Kingery
- A Magic Cube of Six. By Harry A. Sayles
- Magic Cube of Six. By John Worthington

- Chapter X. Various Kinds of Magic Squares
- Overlapping Magic Squares. By D.F. Savage
- Oddly-Even Magic Squares. By D.F. Savage
- Notes on Oddly-Even Magic Squares. By W.S. Andrews
- Notes on Pandiagonal and Associated Magic Squares. By L.S. Frierson
- Serrated Magic Squares. By Harry A. Sayles
- Lozenge Magic Squares. By Harry A. Sayles

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

- Chapter XII. The Theory of Reversions. By Dr. C. Planck

- Chapter XIII. Magic Circles, Spheres and Stars
- Magic Circles. By Harry A. Sayles
- Magic Spheres. By Harry A. Sayles
- Magic Stars. By W.S. Andrews

- Chapter XIV. Magic Octahedroids
- Magic in the Fourth Dimension. By H.M. Kingery
- Fourfold Magics. By Dr. C. Planck

- Chapter XV. Ornate Magic Squares
- General Rule for Constructing Ornate Magic Squares of Orders $= 0 \pmod 4$. By Dr. C. Planck
- Ornate Magic Squares of Composite Odd Orders. By Dr. C. Planck
- The Construction of Ornate Magic Squares of Orders $8$, $12$ and $16$ by Tables. By Frederic A. Woodruff
- The Construction of Ornate Magic Squares of Order $16$ by Magic Rectangles. By W.S. Andrews
- Pandiagonal-Concentric Magic Squares of Orders $4 m$, By Harry A. Sayles

- Index

- Diagrams of Completed Magics