an:01777765
Zbl 1003.51009
Babenko, Yu. I.
Power invariants of a union of coaxial prisms
EN
J. Math. Sci., New York 110, No. 4, 2769-2773 (2002); translation from Zap. Nauchn. Semin. POMI 261, 31-39 (1999).
00087334
1999
j
51M04 52A99
union of coaxial prisms; power invariants
Summary: The paper is an addition to the paper of \textit{Yu. I. Babenko} and \textit{V. A. Zalgaller} [see the paper above]. 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 \(I_1,\dots,I_n\). 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.
Zbl 1003.51008