MATH 7210 : Foundations of Geometry II

University of Georgia, Spring 2001

Dr. McCrory, Instructor

Final Project: Symmetry in Architecture

by Kelli Nipper and Shannon Umberger

"Geometry, according to the Encyclopedia Britannica, is the study of space, and architecture, in the broadest sense of the word, is the creation of space by construction or subdivision. The two disciplines are virtually inseparable with one distinction. Geometry can exist without architecture, but architecture cannot exist without geometry."

- William Blackwell, A.I.A.

Geometry in Architecture

Architecture and Symmetry Topics from Class

 Wheel Patterns

 Strip Patterns

 Wallpaper Patterns




Types of Architecural Symmetry

 Bilateral Symmetry

 Rotational and Reflectional Symmetry

 Cylindrical Symmetry



 Chiral Symmetry

 Similarity Symmetry

 Spiral or Helical Symmetry




 Translational Symmetry

 Spherical Symmetry

 Combinations of Symmetry




Symmetry in the Architecture of Athens, Georgia

  Architecture and Symmetry Topics from Class

 Types of Architectural Symmetry




Blackwell, William (1984). Geometry in Architecture. New York: John Wiley and Sons, Inc.

Bishop, Darlene and Eggers, Diana. Kent School District, Washington ( ( (

Greenhalgh, Michael. ArtServe, Australian National University (

Lester, Hugh. Tulane University (

Reiter, Clifford A. Gallery of Fractals, Chaos and Symmetry, Lafayette University ( (

Slatcher, Steve. (

Whitcombe, Christopher L.C.E. Sacred Places, Sweet Briar College (

Williams, Kim (1998). Symmetry in Architecture. (

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