W.S.Andrew所著的，刘培杰数学工作室编写的《幻方和魔方》研究幻方和魔方所具备的特性及构筑方法，生动地展示幻方和魔方的神奇之处。主要包括幻方的数学研究，六阶幻方，幻方类型，构造方法，幻圆等十五章内容。

W.S.Andrew所著，刘培杰数学工作室编写的《幻方和魔方》列举诸多幻方和魔方的例子，研究幻方和魔方所具备的特性及构筑方法，生动地展示幻方和魔方的神奇之处。主要包括幻方的数学研究，六阶幻方，幻方类型，构造方法，幻圆等十五章内容。

《幻方和魔方》适合在校学生的学习研究，以及幻方和魔方爱好者作为兴趣读物。

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 TIIE CONSTRUCTION OF MAGIC SQUARES

 CHAFFER 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

 CHAFFER Ⅲ. THE FRANKLIN SQUARES

 AN ANALYSIS OF THE FRANKLIN SQUARES

 CHAPIER 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 CONSTRUCHON OF MAGIC SQUARES OF ORDERS WHICH n IS OF THE GENERAL FORM 4 p +2

 NOTES ON THE CONSTRUCTION OF MAGIC SQUARES OF ORDERS IN WHICH n IS OR THE GENERAL FORM 8p+2

 GEOMETRIC MAGIC SQUARES AND CURES

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 MAG1C SQUARES OF ORDERS 4m

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