Abstract
The Newton number or kissing number N(D) of a compact disc or a compact body D is the maximum number of non-overlapping congruent copies (neighbors) of D that can touch D without having interior points in common. We give a short and constructive proof of N(D) ≥ 6 for arbitrary convex or non-convex discs D and we determine lower and upper bounds for the Newton number of isosceles triangles.
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