A classic treatise on magic squares and related arrangements of numbers.
- Publishers' Preface
- Introduction
- 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
- The 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
- 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
- An Analysis Of The Franklin Squares
- Chapter IV. Reflections On Magic Squares
- The Order Of Figures
- Magic Squares In Symbols
- The Magic Square In China
- The Jaina Square
- Chapter V. A Mathematical Study Of Magic Squares
- A New Analysis
- Notes On Number Series Used In The Construction Of Magic Squares
- Chapter VI. Magics And Pythagorean Numbers
- Mr. Browne's Square And Lusus Numerorum
- Chapter VII. Some Curious Magic Squares And Combinations
- Chapter VIII. Notes On Various Constructive Plans By Which Magic Squares May Be Classified
- The Mathematical Value Of Magic Squares
- Chapter IX. Magic Cubes Of The Sixth Order
- A "Franklin" Cube Of Six
- A Magic Cube Of Six
- Magic Cube Of Six
- Chapter X. Various Kinds Of Magic Squares
- Overlapping Magic Squares
- Oddly-Even Magic Squares
- Notes On Oddly-Even Magic Squares
- Notes On Pandiagonal And Associated Magic Squares
- Serrated Magic Squares
- Lozenge Magic Squares
- Chapter XI. Sundry Constructive Methods
- A New Method For Making Magic Squares Of Odd Orders
- The Construction Of Magic Squares And Rectangles By The Method Of "Complementary Differences"
- Notes On The Construction Of Magic Squares Of Orders In Which N Is Of The General Form 4p + 2
- Geometric Magic Squares And Cubes
- Chapter XII. The Theory Of Reversions
- Chapter XIII. Magic Circles, Spheres And Stars
- Magic Circles
- Magic Spheres
- Magic Stars
- Chapter XIV. Magic Octahedroids
- Magic In The Fourth Dimension
- Four-Fold Magics
- Chapter XV. Ornate Magic Squares
- General Rule For Constructing Ornate Magic Squares Of Orders = 0 (Mod 4)
- Ornate Magic Squares Of Composite Odd Orders
- The Construction Of Ornate Magic Squares Of Orders 8, 12 And 16 By Tables
- The Construction Of Ornate Magic Squares Of Order 16 By Magic Rectangles
- Pandiagonal-Concentric Magic Squares Of Orders 4m
1st edition 1917, 419 pages; PDF 327 pages.
word count: 72990 which is equivalent to 291 standard pages of text
