an:00164921
Zbl 0765.52016
Wegner, Gerd
Relative Newton numbers
EN
Monatsh. Math. 114, No. 2, 149-160 (1992).
0026-9255 1436-5081
1992
j
52C15 52A10
congruent copies; convex body; Newton number
We describe a method for estimating the number of congruent copies of a convex body \(C\) in the plane that can touch another given body \(K\) without having interior points in common. This applies also to the case \(K=C\) thus giving bounds for the usual Newton number \(N(K)\) of \(K\). Especially we get \(N(T)=21\) for the isosceles triangle having base angles of \(30^ \circ\).
Gerd Wegner