Bibliography: Geometreks


Few people expect to encounter mathematics on a visit to an art gallery or even a walk down a city street (or across campus). When we explore the world around us with mathematics in mind, however, we see the many ways in which mathematics can manifest itself, in streetscapes, sculptures, paintings, architectural structures, and more. This illustrated presentation offers illuminating glimpses of mathematics, from Euclidean geometry and normal distributions to Riemann sums and Möbius strips, as seen in a variety of structures and artworks in Washington, D.C., Philadelphia, Toronto, Ottawa, New Orleans, and many other locales.

Puzzle 1: Incomplete Open Cubes

Puzzle 2: Lines in Four Directions

Online Bibliography 



Möbius at the Shopping Mall

Recycling Topology

Möbius in the Playground

Peterson, I. 2001. Fragments of Infinity: A Kaleidoscope of Math and Art. Wiley.


Cambridge, MA

Charlottesville, VA




Iosif Pinelis, Michigan Tech

Patrick Weidman, University of Colorado

David Billington: Structural Study of the Eiffel Tower


St. Louis, MO



Washington, DC


Ted Bieler

Max Bill

Jose De Rivera

Helaman Ferguson

Robinson Fredenthal

Bathsheba Grossman

Sol LeWitt

Guido Molinari

I.M. Pei

Charles O. Perry

John Robinson

Arthur Silverman

Kenneth Snelson

Arlene Stamp

Edward Durell Stone

Keizo Ushio

Bill Vazan

Robert R. Wilson

Euclidean Geometry

Bergamini, D., and the editors of LIFE. 1963. Mathematics. New York: Time.

Devlin, K. 1998. Life by the Numbers. New York: Wiley.

Peterson, I. 2003. Geometreks. Science News Online (Nov. 8). Available at

______. 2001. Fragments of Infinity: A Kaleidoscope of Math and Art. New York: Wiley. See

______. 2000. Puzzling lines. Science News Online (June 10). Available at

______. 2000. Math trails in Ottawa. Science News Online (May 27). Available at

Take a virtual tour of the National Gallery of Art's East Building at Information about I.M. Pei's design can be found at


Friedman, N. 2003. Fractals bounding negative space: Fractal stone prints. Mathematics Awareness Month. Available at

Peterson, I. 2003. Fractured granite and fractal prints. Science News Online (April 5). Available at

______. 2002. Fractal roots and artful math. Science News Online (April 5). Available at

Hyperbolic Geometry

Henderson, D.W., and D. Taimina. 2001. Crocheting the hyperbolic plane. Mathematical Intelligencer 23(No. 2):17-28.

Peterson, I. 2004. Anatomy of a bead creature. Science News Online (April 17). Available at

______. 2003. Hyperbolic five. Science News Online (Aug. 30). Available at

______. 2000. Visions of infinity. Science News 158(Dec. 23&30):408-410.

You can learn more about hyperbolic tilings and art at

Additional information about hyperbolic tilings can be found at

You can learn more about the poet William Carlos Williams at A QuickTime video clip presenting his 1928 poem "The Great Figure" is available at