Foreword p. ix
Preface p. xv
John Venn and His Logic Diagram p. 1
John Venn, 1834-1923
Logic diagrams
Euler's circles
Venn diagrams
Boolean algebra
Binary labeling
Churchill's Venn diagram
Earlier diagrams
W. Stanley Jevons
H. J. S. Smith
Rings, Flags, and Balls p. 17
Precursors of the pattern
The Trinity
Borromean rings
Lewis Carroll's diagram
The Game of Logic
Two-colorable property
The flag of Greenland and the arms of Maryland
The diagram on a sphere
The globe
Projections
Tennis balls and basketballs
Five and More Sets p. 29
Adding sets
C. S. Peirce
Venn's attempt
Lewis Carroll's attempt
Edwards's solution
Other solutions: Grunbaum's, Humphries's, Fisher and Koh's
The Gray Code, Binomial Coefficients, and the Revolving-Door Algorithm p. 47
Edwards's form maps a Gray code
Alternative forms
The binomial coefficients represented by necklaces of regions
The revolving-door algorithm
Jevons again
Cosine Curves and Sine Curves p. 61
The linear diagram
C. A. B. Smith's variant maps the binary code
Martin Gardner's "proof" that [pi] = 2
Hybrid diagrams
The rotatable diagram
Ironing the Hypercube p. 77
The dual diagram maps the hypercube
The maximal planar subgraph
The Karnaugh map
The Hamming code
Hamilton circuits
Diagrams with Rotational Symmetry p. 84
Leibniz's divisibility theorem and Henderson symmetry
Grunbaum's symmetrical five-set diagram
Polar symmetry
Edwards's family of seven-set diagrams with rotational and polar symmetry
More diagrams
Metrical Venn Diagrams p. 95
A Rotatable Edwards-Venn Diagram p. 101
References p. 105
Index p. 109