Geodesic
Nonflexible polyhedra with small number of verticies
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 1, pp. 143-165

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The paper shows which embedded and immersed polyhedra with no more than eight vertices are nonflexible. It turns out that all embedded polyhedra are nonflexible, possibly, except for polyhedra of one of the combinatorial types, for which the problem remains still open. 
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     author = {I. G. Maksimov},
     title = {Nonflexible polyhedra with small number of verticies},
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I. G. Maksimov. Nonflexible polyhedra with small number of verticies. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 1, pp. 143-165. http://geodesic.mathdoc.fr/item/FPM_2006_12_1_a4/