My quest for the missing frames at the start of the "Big Bang" scenario led me to ask how geometry
handles the division of one unit into two. . . An action seeming to me to be more reasonable for the primal
singularity's initial transformation, rather than going from one thing to bigillions with no intervening
transformations.

When I modeled the singularity as a unit of surface in the form of a sphere, and divided that surface
into two new spheres, I realized there was a sizable quantity of excess volume. The unit of surface as two
spheres can't hold as much volume as that same surface unit in the form of one sphere. At that time, this was a
new revelation for me and I wondered if, in some way, geometry itself accounts for this excess volume.

Mitosis, it turns out, is the answer I had been seeking, and I had found it only after a long journey into
the structure of form. In this geometrical sculptural composition the tetrahedron represents one of two equal
packets which together is that quantity of excess volume. The larger circle is the cross-section of the initial
sphere, and the smaller circle is the cross-section of either of the two new spheres.

Later I would discover the beautiful transformational dances amongst and between the primal
geometric forms. Mitosis' proportioning, set to a particular scaling, provided the key to the doorway into
what I have since come to call The Geometry of Form.

Copyright P. Kasprzycki 2003