Resumen de Redes de Steiner de esferas

Julio Fernández Biarge

• In this paper, we study a generalization of the Steiner's chains of circles.

  We consider two spherical surfaces, one inside the other, and a set of spheres tangent to both these surfaces, so that each one be externally tangent to at least three of the others. We call Steiner's networks to these sets; we consider some particular cases and we prove several properties, including the generalization of the familiar Steiner's alternative.