When we met to finish our week one project, one of the group members purposed a new interpretation of 'optimally packing' in which the spheres that we made would be stored in a position where they were folded together (a sphere nested within a sphere). This proposal allowed for all eight of the spheres to pack down to four all while remaining an optimally packed plane. After a long discussion, it was agreed that we would continue with the new interpretation of optimal packing. Ideally, the spheres would un-nest and close by means of a motor but for the purpose of our presentation we manipulated them by hand.
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