3. Ball Expansion Study

The Curved Space Diamond Structure can be simulated as well by starting with the ball and spoke model. This can be accomplished by increasing the diameter of the balls (remember these are the carbon atoms in the assembly).

a_Ball Steps_08-R- 6h x 8w at 1200 dpi b_Ball Steps_14-R- 6h x 8w at 1200 dpi
c_Ball Steps_18-R- 6h x 8w at 1200 dpi d_Ball Steps_22-R- 6h x 8w at 1200 dpi

The balls are enlarged until they touch each other If at that point the balls are faired into each other by means of filleting, the Curved Space Diamond Structure is simulated. Since the balls are closed spheres, the tunnel system is not apparent as it is with the enlargement of the spokes shown previously.

e_Ball Steps_25-R- 6h x 8w at 1200 dpi f_Ball Steps 25 fillited

g_08A Filleted Ball Sequence

In reality a crystal structure is not assembled from atoms the shape of perfect spheres with the chemical bonds formed by rigid spokes. This model with the spherical carbon atoms linked by filleting is a more likely visualization of what the diamond crystal might actually look like at actual size. The real atoms are approximate spheres that are bonded together through interacting orbiting particles, which only approximate the spherical shape.

_MORPH Ball and Spoke TO Ball Filleted Round trip 5x5