7 equdistant scenarios for closed ball locations

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left click ( with the cursor over any of the 8 graphics displayed below ) and drag.

The grey dots above represent the 7 scenarios for the symmetrically determined locations for a closed ball.
The grey dots are shown as progressively larger...showing the two 3 spheres attached together.

The intervals given below are based upon spheres in a ccp, having a diameter of the square root of 2.
This results in, the ccp spheres all having integer only (x, y, z ) coordinates for their centers.

center of a sphere [1] intervals at [Sqrt of (2n) ]

touch point [2] intervals at [Sqrt of (2 + 4n)]

3 spheres [3] intervals at [Sqrt of (6n) )] / 3

rotated 3 spheres [3] intervals at [Sqrt of (1 + 6n)] / 3

tetrahedron of spheres [4] intervals at [Sqrt of (3 +8 n) )] / 2

1/2 octahedron cluster [5] intervals at [Sqrt of (1 + 4n)] / 2

octahedron cluster [6] intervals at [Sqrt of (1 + 2n)]

These graphics were made in collaboration with Maurice Starck. Several of the intervals calibrations were done by Mark Newbold

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