Monthly Archives: October 2021

how to enact a balanced budget

Posted on Saturday, 2021 October 23 by Anton

(Moving here from a separate file for greater visibility.) A MECHANISM TO BALANCE THE BUDGET Suppose each member of Congress were to name a budget amount, and the median number is made law. Why the median? Because this is a … Continue reading →

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phase-packing

Posted on Thursday, 2021 October 21 by Anton

I just thought of a new kind of packing problem, a mutant extension of the Thomson problem. In this version, each particle has coordinates in two independent spaces; in each it is confined to a sphere (of some dimension). In … Continue reading →

Posted in mathematics | 1 Comment

O fairest of randomizers

Posted on Friday, 2021 October 08 by Anton

On most numbered dice, opposite sides are complementary; on a cube, for example, they add to 7. As a result, if you have the skill to throw a die so that the {1,2,3} corner lands on the table, the upward … Continue reading →

Posted in mathematics | 4 Comments