Squaring the Circle: Geometry in Art and Architecture June 2008,
©2008 To the Student. To the Instructor. About the Author. 1.
Music of the Spheres. Pythagoras and the Pythagoreans. Ratio and
Proportion. Pythagoras and the Musical Ratios. Sequences,
Series, and Means. Plato and the Musical Ratios. The Musical
Ratios in Architecture. PROFILE: LEON BATTISTA ALBERTI. PROFILE:
ANDREA PALLADIO. 2. The Golden Ratio. The Golden Ratio. The
Fibonacci Numbers and the Golden Ratio. PROFILE: LEONARDO
FIBONACCI. The Golden Ratio in Architecture. PROFILE: LE
CORBUSIER. 3. The Triangle. Angles Between Lines. Right
Triangles. Congruence, Symmetry, Isometry, and Similarity. 4. Ad
Quadratum and the Sacred Cut. The Rectangular Format in
Painting. PROFILE: GUSTAV THEODOR FECHNER. PROFILE: JAY
HAMBIDGE. Architectural Proportions Based on the Square and the
Rectangle. The Earthly and the Mundane. 5. Polygons, Tilings,
and Sacred Geometry. Pentagons and Pentagrams. PROFILE: ALBRECHT
DÜRER. Tilings with Polygons. 6. The Circle. Geom