2. Spoke Expansion Study

The ball and spoke diamond crystal unit cell, with and without the balls. If we expand the diameter of the spokes without the balls, the structure morphs into a series of tunnels connected together, which map the geometry of the diamond crystal.

Click to enlarge a_Spoke Steps_02R

The ball and spoke diamond crystal unit cell, with and without the balls. If we expand the diameter of the spokes without the balls, the structure morphs into a series of tunnels connected together, which map the geometry of the diamond crystal.

b_Spoke Steps_08R c_Spoke Steps_14R

Enlarging the connected tunnels creates a three-dimensional spatial labyrinth, which begins to suggest the idea of the Curved Space Diamond Structure.

d_Spoke Steps_18R e_Spoke Steps_24R

Continuing to enlarge the tunnel diameter until the interior space of the labyrinth is approximately the same size as the space outside of the tunnel labyrinth.

f_Spoke Steps_24R FILLETED

Smoothing out the tunnels by adding fillets to the intersecting tunnels simulates the three-dimensional continuous surface of Curved Space Diamond Structure.

_Spoke-Animation round trip-5x5

Animation of spoke expansions to continuous surface model.Network-of-Spoke-Steps-Fillited-5x5Animation of unit cell space filling with spoke derived continuous surface.

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