The Square, the Circle and the Golden Proportion - A New Class of Geometrical Constructions

Janusz Kapusta
Bridges: Mathematical Connections in Art, Music, and Science (2000)
Pages 247–254


The reason behind taking another look at the number Phi is its overwhelming appearance in art, nature and mathematics [1,2,3]. I feel that such a power must have a deep basis. As a result of this investigation I have discovered a new world of geometrical relationships residing within the square and the circle. This picture essay can be read as an example of how complexity emerges inexorably from simplicity.