内容简介
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 SUQARES 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
NOTES ON THE CONSTRUCTION OF MAGIC SQUARES OF ORDERS IN WHICH n IS OR THE GENERAL FORM 8p+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
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