N=4

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie
Experimental Movie 1
Experimental Movie 2

N=5

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=6

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=7

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=8

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=9

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=10

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=11

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=12

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N = 6 Transition Movie

The N = 6 cluster is immobile for a significant range of diameter-to-diameter ratio. Thus, a large degree of rattling about the points of the spherical code solution can be observed. In the rearrangement of the cluster is one ring of three spheres rotates relative to the other. Not counting reflections of the action (e.g. counter clockwise versus clock-wise rotations) there are four possible ring rotations per octahedron or four ways this action can occur. In this movie one ring is composed of two pink and one green spheres, and the other ring is composed of two blue and one green sphere. This movie is generated from a simulations, where the spheres are slightly soft. In the simulation Λ = 0.5689, or more than the hard sphere ΛT=0.5275.