PARTIAL COVERING OF A CIRCLE BY EQUAL CIRCLES. PART II: THE CASE OF 5 CIRCLES

摘要: How must n equal circles of given radius r be placed so that they cover as great a part the area unit circle possible? In this Part II two-part paper, conjectured solution problem for = 5 is varying from maximum packing to minimum covering radius. Results are obtained by applying mechanical model described in I. A generalized tensegrity structure associated with configuration circles, and using catastrophe theory, it pointed out ''equilibrium paths'' have bifurcations, is, at certain values r, type changes.