Abstract

Imagine a 3d-space as it is filled by a crystalline structure.
As crystals begin to form they grow initially as cubes until contact is made with adjacent crystals.
When crystals come in contact, each crystal resists the others growth
in a particular direction but growth continues in all un-resisted directions
until all the space is filled or until further contact is made with another crystal.
Assumed however is that there is an abundant supply of material to form the crystals.

Questions arise:

• What will the resultant crystals look like? (Shape, number of faces, shape of these faces)
• What size will they be? (Average / individual / most common)
• Will there be any unfilled space in the solid formed?

What if:

• All crystals don't grow at same rate?
• A crystal doesn't grow at the same rate in all directions?
• Crystals start growing at different times?

Final Report (2Mb. Download!)

Source Code (warning this is incomplete full source in above word doc)