Optimal placements and unsolved math problems

Optimal placements and unsolved math problems are among the interesting problems discussed in the book, Tomorrow’s Math, Second Edition by C. Stanley Ogilvy. On chapter two, pg.23-24 he asks how a land’s defenses may be best defended by n defense stations on a disk shaped land area? They state it had known answers for n<6, and “a general solution seems remote at present”.

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