The data for n = 24


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 =223.3470692


One of our favorites. The configuration is a BEAUTIFUL AND HIGHLY REGULAR FIGURE, an Archimedean solid.! It is the structure of the protein ferritin. There is a sculpture of this figure in the courtyard of the Beckman Institute at Cal Tech. There are squares positioned at the six positive or negative eigenvector directions and around each square there are equilateral triangles. In each projection there are 6 layers of 4 evenly spaced points, i. e. bandology of (4,4,4,4,4,4). We only noticed this thanks to the eigenvector projections.

[Graphics:n24pic.jpg]

Back to the top of the page


smallest eigenvalue Gram view

[Graphics:n24g1.jpg]

Back to the top of the page


second largest eigenvalue Gram view

[Graphics:n24g2.jpg]

Back to the top of the page


largest eigenvalue Gram view

[Graphics:n24g3.jpg]

Back to the top of the page


The Coulomb view

[Graphics:n24coul.jpg]

Back to the top of the page


The points

{{-0.853997, 0.511087, 0.0973668}, {-0.321737, 0.900638, -0.292123}, {0.117753, 0.40563, 0.906421}, {-0.142552, -0.867828, 0.475976}, {-0.980745, -0.166822, -0.101535}, {-0.044845, 0.474143, -0.879305}, {-0.618068, 0.279805, 0.734644}, {0.743857, 0.16965, 0.646448}, {0.671771, -0.48164, -0.562803}, {-0.571885, -0.814601, -0.0968122}, {-0.582278, -0.372804, -0.722475}, {0.659384, 0.218752, -0.719278}, {0.389757, 0.844032, -0.368373}, {-0.116676, -0.270999, 0.955482}, {0.926903, 0.368667, -0.0702516}, {0.000300573, -0.848696, -0.528881}, {-0.702542, 0.328891, -0.631083}, {-0.744678, -0.398113, 0.535688}, {0.429632, -0.901936, 0.0439063}, {0.0753606, -0.227541, -0.970848}, {0.509369, -0.50697, 0.695359}, {0.463989, 0.815886, 0.345028}, {-0.247505, 0.872505, 0.421279}, {0.939429, -0.331735, 0.0861687}}

Back to the top of the page


Copyright by Neubauer, Schilling, Watkins and Zeitlin (1998).