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Power Invariants of a Union of Coaxial Prisms
Authors:Uy I Babenko
Institution:(1) The Russian Scientific Center ``Applied Chemistry', Russia
Abstract:The paper is an addition to the paper of Yu. I. Babenko and V. A. Zalgaller published in the same volume. It gives a condition under which the set of all vertices of several coaxial prisms inscribed in a sphere in 
$$\mathbb{R}_3$$
has power invariants I1,...,In. A finite set in 
$$\mathbb{R}_3$$
with 11 invariants is constructed. It is also proved that unions of prisms yield finite sets in 
$$\mathbb{R}_3$$
with any preassigned number n of invariants with alternating signs. Bibliography: 5 titles.
Keywords:
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