The data for n = 72a


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 =2255.00119099


The Coulomb projection shows the points occur in bands of 5 plus a north and south pole and that all of the degree 5 points appear in (1,5,5,1) icosahedral form.

[Graphics:n72apic.jpg]

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smallest eigenvalue Gram view

[Graphics:n72ag1.jpg]

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second largest eigenvalue Gram view

[Graphics:n72ag2.jpg]

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largest eigenvalue Gram view

[Graphics:n72ag3.jpg]

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The Coulomb view

[Graphics:n72acoul.jpg]

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The points

{{-0.266243, 0.59462, 0.758645}, {0.610053, -0.0740503, -0.788893}, {0.342006, 0.231318, -0.910782}, {0.481589, 0.749961, -0.453464}, {-0.918082, -0.198612, -0.343043}, {-0.82553, \ -0.563369, -0.0333923}, {0.876202, 0.082155, -0.474891}, {0.0118529, 0.876971, -0.480397}, {0.0554229, 0.350998, 0.934735}, {-0.497999, 0.228041, -0.836656}, {-0.0774281, 0.272717, -0.958973}, {0.216376, 0.608715, -0.763314}, {-0.783509, 0.589459, -0.196598}, {-0.542447, 0.837854, 0.0612482}, {-0.604186, 0.5477, -0.578778}, {-0.283005, -0.794019, -0.537998}, {-0.844095, 0.208249, -0.494101}, {-0.0483238, -0.530618, 0.846233}, {0.349313, -0.363641, 0.863566}, {-0.68695, -0.139834, -0.713125}, {-0.916534, 0.0968647, 0.38805}, {-0.0473994, -0.975785, -0.213532}, {-0.692864, -0.0958027, 0.714675}, {-0.670067, 0.340414, 0.659643}, {0.620376, 0.784206, 0.0124508}, {0.550965, -0.695741, -0.46085}, {0.266054, 0.952334, -0.14925}, {0.125235, 0.744487, 0.655787}, {0.238191, -0.760732, 0.603782}, {-0.354891, 0.192648, 0.914844}, {-0.979987, -0.183827, 0.0763742}, {0.374404, -0.915986, -0.144192}, {0.809909, 0.519995, -0.271389}, {-0.974329, 0.209434, -0.082591}, {-0.503402, -0.542811, 0.672267}, {0.236426, 0.932374, 0.273462}, {0.42811, 0.470868, 0.771366}, {0.149918, -0.961133, 0.231834}, {0.768222, -0.631987, -0.102111}, {-0.399985, 0.844861, -0.355277}, {-0.550953, 0.69574, 0.460865}, {-0.698252, -0.552871, -0.454728}, {0.866352, -0.419615, 0.270845}, {0.979983, 0.183861, -0.0763389}, {-0.840774, 0.490744, 0.228624}, {-0.264714, -0.125709, -0.956098}, {-0.513845, -0.839603, \ -0.176153}, {-0.18737, 0.902063, 0.388812}, {0.737532, -0.152825, 0.657793}, {0.793281, -0.349587, -0.498492}, {-0.824571, -0.380762, 0.418454}, {-0.341973, -0.231354, 0.910785}, {-0.194559, -0.815904, 0.544471}, {-0.139661, 0.98971, -0.0311216}, {-0.0150704, -0.530013, -0.847855}, {0.560376, 0.701286, 0.440654}, {0.156078, -0.809093, -0.566576}, {0.0434549, -0.0760691, 0.996155}, {-0.266084, -0.952332, 0.149212}, {0.165866, -0.149252, -0.974788}, {0.447417, 0.0646177, 0.891988}, {-0.604793, -0.74079, 0.292327}, {0.641267, 0.394407, -0.658194}, {0.759499, 0.281101, 0.586637}, {0.952069, 0.00196243, 0.305878}, {0.604188, -0.547713, 0.578764}, {0.964057, -0.237995, -0.118123}, {0.414952, -0.459046, \ -0.785552}, {0.557734, -0.795327, 0.237461}, {-0.223528, 0.621488, -0.750858}, {0.856797, 0.470435, 0.211161}, {-0.428122, -0.470855, -0.771367}}

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