Geometric Problems and Algebraic Numbers

  • John H. Conway
  • Richard K. Guy


Historically, geometry has often been a source of new numbers (Figure 7.1). Figure 7.1 is our redrawing of tablet number 7289 in the Yale Babylonian Collection.


Algebraic Number Irrational Number Regular Polygon Regular Hexagon Partial Quotient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Asger Aaboe. Episodes from the Early History of Mathematics New Math. Library, vol. 13, Math. Assoc. Amer., 1964, esp. pp. 81–92.zbMATHGoogle Scholar
  2. Richard B. Austin and Richard K. Guy. Binary sequences without isolated ones. Fibonacci Quart. 16 (1978): 84–86MathSciNetzbMATHGoogle Scholar
  3. Petr Beckmann. A History of π, The Golem Press, Boulder CO, 4th edition, 1977.Google Scholar
  4. John H. Conway. The weird and wonderful chemistry of audioactive decay. Eureka 46 (1986): 5–16.MathSciNetGoogle Scholar
  5. Richard Dedekind. Stetigkeit und Irrationalzahlen Braunschweig, 1872.Google Scholar
  6. Howard Eves. An Introduction to the History of Mathematics. Holt, Rinehart & Winston, New York, 4th ed., 1976; esp. p. 201, problem study 7.11(c).zbMATHGoogle Scholar
  7. G. A. Freiman. Diophantine Approximations and the Geometry of Numbers (in Russian), Kalinin. Gosudarstv. Univ. Kalinin, 1975.Google Scholar
  8. Ronald L. Graham. The largest small hexagon. J. Combin. Theory Ser. A 18 (1975): 165–170MathSciNetCrossRefzbMATHGoogle Scholar
  9. F. Lindemann. Ueber die Zahl π Math. Ann., 20 (1882): 213–225.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1996

Authors and Affiliations

  • John H. Conway
  • Richard K. Guy

There are no affiliations available

Personalised recommendations