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Magic Squares and Cubes

by William Symes Andrews
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Magic Squares and Cubes by William Symes Andrews
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


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