by Jean Le Mée
In the few weeks available during
the course of the project there was no time to elaborate on
the principles and the methods used in the design. A more
thorough presentation is now possible. This possibility and
the desire of many viewers to get acquainted with the principles
of design and the meaning of the Millennium Sphere has now
prompted the present work which specifically addresses the
geometry of the sphere. It is therefore not a work of mathematical
speculation on the platonic forms aiming at abstract generalized
formulation but the reflections of a designer attempting to
clarify in his own mind the intricate and beautiful connections
existing in some apparently simple figures.
What it brings out however is a
"view from the center" that considerably simplifies
and unifies the understanding of the structure of all regular
polyhedra–convex and stellated–and integrates
it quite naturally into a rich tradition of speculative thought
be it geometrical, musical, astronomical or philosophical
that has been part of our intellectual heritage for centuries.
here to download
"Ad Quadratum Construction and Study of Regular Polyhedra"
view animated version of Ad Quadratum Generation [swf file]