MATH 7210 : Foundations of Geometry II

University of Georgia, Spring 2001

Dr. McCrory, Instructor

Spiral or Helical Symmetry

In spiral or helical symmetry, the architectural piece exhibits a spiral or helix. In other words, there is a central vertical axis that the architectural piece "winds" around and either toward or away from. This special type of similarity symmetry expresses a theme of continuity.

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

Example 1: Guggenheim Museum

Location: New York, New York

Architect: Frank Lloyd Wright

Building Type: Art museum

Symmetry: The spiral is actually a ramp that winds around a central axis and has art pieces along one wall.

Resource: (

Example 2: Ross House


Location: ???

Architect: James Ream

Building Type: House

Symmetry: The rooms of the house spiral out from a central chimney.

Resource: Blackwell, William (1984). Geometry in Architecture. pgs. 114-115.

Example 3: Villa Savoye

Location: Poissy, France

Architect: Le Corbusier

Building Type: House

Symmetry: Where is spiral or helical symmetry present in Villa Savoye?

Resource: (

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