George E. Martin

George E. Martin is Professor of Mathematics at the University at Albany, SUNY.

His E-mail address is

martin@math.albany.edu

His office telephone is 518-442-4629

His Ph. D. is from the University of Michigan, 1964.

Prof. Martin's newest book, GEOMETRIC CONSTRUCTIONS, was just published in January 1998 by Springer-Verlag New York. Here is the

TABLE OF CONTENTS:

• Preface
• 1 Euclidean Constructions
• 2 The Ruler and Compass
• 3 The Compass and the Mohr-Mascheroni Theorem
• 4 The Ruler
• 5 The Ruler and Dividers
• 6 The Poncelet-Steiner Theorem and Double Rulers
• 7 The Ruler and Rusty Compass
• 8 Sticks
• 9 The Marked Ruler
• 10 Paperfolding
• The Back of the Book
• Suggested Reading and References
• Index

Click here for the PREFACE to GEOMETRIC CONSTRUCTIONS.

Books in print by George E. Martin

• FOUNDATIONS OF GEOMETRY AND THE NON-EUCLIDEAN PLANE
  Springer-Verlag 1975
  (Fourth Printing 1998)
• TRANSFORMATION GEOMETRY, An Introduction to Symmetry
  Springer-Verlag 1982 (Fourth Printing 1997)
• POLYOMINOES, A Guide to Puzzles and Problems in Tiling
  Mathematical Association of America 1991
  (Second Printing 1996)
  POLYOMINOS contains a list of unsolved problems which will be regularly updated .
• GEOMETRIC CONSTRUCTIONS
  Springer-Verlag 1998

THE HOLIDAY PUZZLE

Solutions are announced on Groundhog Day. Requests for copies of the solutions will be honored until April Fools' Day.)

TWO MORE DISSECTION PROBLEMS

1. Dissect a square into triangles such that any two of the triangles are similar but no two are congruent.

2. Dissect a rectangle into rectangles each similar to the original but no two congruent. (Is there a rectangle that can be be dissected into n rectangles having the properties above for each positive integer n with n>2?)

Thanks for visiting my home page.

Best wishes,

George E. Martin

Dept. of Mathematics and Statistics

University at Albany

Albany NY 12222

Email address: martin@math.albany.edu

January 8, 1998