Geodesic
Power invariants of joined coaxial prisms
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 31-39

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The paper is the addition to the article of Yu. Babenko and V. Zalgaller published in the same volume. A criterion indicating when the set in $\mathbb R^3$ of all vertices of several coaxial prisms inscribed in a sphere has power invariants $I_1,\dots,I_n$ is given. A finite set in $\mathbb R^3$ with 11 invariants is constructed. If invariants with alternating signs are admitted, it is proved that using joined prisms one can obtain finite sets in $\mathbb R^3$ with any preassigned number $n$ of invariants. 
@article{ZNSL_1999_261_a1,
     author = {Yu. I. Babenko},
     title = {Power invariants of joined coaxial prisms},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {31--39},
     publisher = {mathdoc},
     volume = {261},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a1/}
}
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Yu. I. Babenko. Power invariants of joined coaxial prisms. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 31-39. http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a1/