The data for n = 12

The data for n = 12

The potential
The picture and a description of the configuration
The Gram minimal eigenvalue projection
The Gram middle eigenvalue projection
The Gram largest eigenvalue projection
The Coulomb view
The points in Mathematica format

potential = 49.16525306

The configuration is a regular icosahedron.Several bandologies are found for this important regular solid: (3,3,3,3), chopped liver, (2,2,4,2,2) and (1,5,5,1). We shall be looking for these structures in the location of the degree 5 points in later configurations.

[Graphics:n12pic.jpg]

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smallest eigenvalue Gram view

[Graphics:n12g1.jpg]

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second largest eigenvalue Gram view

[Graphics:n12g2.jpg]

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largest eigenvalue Gram view

[Graphics:n12g3.jpg]

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The Coulomb view

[Graphics:n12coul.jpg]

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The points

{{0,0,1.},{0,0,-1.}, {-0.612876,-0.651449,0.447211}, {0.612868,0.651457,-0.447211}, {-0.878731,-0.166801,-0.447224}, {0.878737,0.166801,0.447212}, {0.112905,0.887271,0.447217}, {-0.112905,-0.887274,-0.447211}, {-0.808959,0.381562,0.44721}, {0.808957,-0.381565,-0.447209}, {0.430176,-0.784184,0.447218}, {-0.430182,0.784183,-0.447213}}