Concepts Of The Golden Diamond

Abstract

The regular diamond whose diagonals are in the golden proportion is commonly known as rhombus aureus or the golden diamond.a Situated in the geometric realm of polytopes, this diamond is the constituent face of a thirty-faceted zonohedron (a polyhedron composed of diamond faces), namely the rhombic triacontahedron, which has a dual relationship with an Archimedean solid and is illustrated in this article. To complete theoretical preliminaries, the triacontahedron is here derived in a new way by a particular group-theoretical approach in order to provide a generalized understanding of regularity with polyhedra. Following this, the golden diamond is observed from an artistic angle since it seems to appear particularly attractive. An explanation of this special aspect is suggested. Further, the golden diamond reveals remarkable geometrical properties, some of which are not so commonly known. These are given closer consideration. And at last, from a constructive point of view, the golden diamond proves to be well applicable to all kinds of design, going from architecture to interior design. The morphological and main part of this article supplies information on some constructive capacities of the golden diamond, in addition to unpublished applications. Two major kinds of examples concerning exterior and interior Architecture are thus presented and richly illustrated. These are: the Great Pyramid on a macro-scale, and personnally constructed art objects (with light within) on a micro-scale.