"In this paper a new family of positive quadratic irrational numbers is introduced: the family of "Metallic Means". Its most well-known member is the Golden Mean. Other members of the family are the Silver Mean, the Bronze Mean, the Copper Mean, the Nickel Mean, eta. These Metallic Means share important mathematical properties that transpose them into a basic key and constitute a bridge between mathematics and design.

Modern research in mathematics, usually conceived of as a highly structured system, has uncovered unsuspected channels that one may follow and try to interpret fractal geometries, so common in natural systems and human, animal and plant morphology, or to look for universal roads that indicate the onset to chaos, present in phenomena that go from DNA microscopic structure to the cosmic macroscopic galaxies. In this richness lie numerous contact points between mathematical tools and their application to creative design. The Metallic Means Family is one such tool and their many interesting properties will help us in the future to travel the difficult roads that connect one field of human knowledge with another, overcoming the isolation of specialties and resuming the global, Renaissance approach to problem resolution, more affine to the thinking of the twenty-first century."