.. . .

     We are not alone!  In the shadow of our 3-D universe, spanning the interstitial voids of

matter, exists a dual universe.  A universe that is ruled not by the laws of physics but by the

structure of space itself.  It is a two dimensional reality consisting of objects that have edges

but no thickness, surfaces but no solid volumes.  In the midst of this bizarre universe is the

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crystallized world of Polygia.  This is an ancient place of natural

harmony and order born out of the primordial chaos eons before

our universe was created.   The planet is inhabited by creatures

and objects whose forms possess remarkable symmetry, propor-

tion and design in both appearance and function.  Polygia is a

world where the invisible geometric principles that govern the

shapes that things have are revealed with crystal clarity in their structures.  Many travelers

have ventured into this wondrous place over the ages.  The Greeks were among the first

visitors.  They were so struck by its beauty and perfection that they believed it existed in

the immortal and unchangeable realm of the gods.  They were so convinced of this that

they refused to accept any descriptions of the place that were only made with drawings or

models.  They considered these to be of earthly origin and therefore imperfect.  For them

this supernatural realm could only be reached by a flight of the imagination guided by

geometric principles and axioms laid down by those that went before them.  The Pytha-

goreans were especially beguiled by the mystical geometrical relationships they discovered

there.  Indeed they believed that all reality was influenced by their numerical proportions.

     This concept of a perfectly symmetrical universe apart from but underlying our own 3-D

universe persisted in Western thought well into the

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17th century.  Kepler even posited that the orbits of

the planets could be described as a cluster of nested

polyhedra.  Although this idea was later abandoned,

the systematic study of crystal structures in the 18th

century reconfirmed that the classical geometric

relationships discovered by the Greeks did in fact have a basis in naturally occurring

objects.  Later discoveries have proven that atoms of pure elements and many minerals

pack together in symmetrically geometric arrangements.  You too can take a journey of the

imagination into the magical world of Polygia when you play with Polymorf.  Since the

design of the panels is based on the same classical geometry found in Polygia, you can be 

assured that your model of what you find there is as accurate a representation of it as is

possible in our imperfect world.  Bon voyage!


To be continued ...


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