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Литература
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V. Arnold, A. Varchenko, S. Gusein-Zade, Singularities of Differentiable Mappings, Nauka, Moscow, 2005 (Russian) |
2. |
J. Bochnak, M. Coste, M.-F. Roy, Real Algebraic Geometry, Springer, Berlin–Heidelberg–New York, 1998 |
3. |
R. Connelly, E. Demaine, “Geometry and Topology of Polygonal Linkages”, Handbook of Discrete and Computational Geometry, 2nd ed., CRC Press, Boca Raton, 2004, 197–218 |
4. |
H. Coxeter, S. Greitzer, Geometry Revisited, Toronto–New York, 1967 |
5. |
E. Elerdashvili, M. Jibladze, G. Khimshiashvili, “Cyclic configurations of pentagon linkages”, Bull. Georgian Nat. Acad. Sci., 2:4 (2008), 13–16 |
6. |
M. Fedorchuk, I. Pak, “Rigidity and polynomial invariants of convex polytopes”, Duke Math. J., 129:2 (2005), 371–404 |
7. |
C. Gibson, P. Newstead, “On the geometry of the planar 4-bar mechanism”, Acta Applic. Math., 7 (1986), 113–135 |
8. |
M. Kapovich, J. Millson, “Universality theorems for configuration spaces of planar linkages”, Topology, 41 (2002), 1051–1107 |
9. |
A. Kempe, “A method of describing curves of the nth degree by linkwork”, Proc. London Math. Soc., 7 (1876), 213–216 |
10. |
G. Khimshiashvili, “On configuration spaces of planar pentagons”, Zap. Nauchn. Semin. POMI, 292, 2002, 120–129 |
11. |
G. Khimshiashvili, “Signature formulae and configuration spaces”, J. Math. Sci., 59 (2009), 10 pp., (in press) |
12. |
D. Robbins, “Areas of polygons inscribed in a circle”, Discrete Comput. Geom., 12 (1994), 223–236 |
13. |
W. Thurston, “Shapes of polyhedra and triangulations of the sphere”, Geom. Topol. Monogr., 1 (1998), 511–549 |
14. |
V. Varfolomeev, “Inscribed polygons and Heron polynomials”, Sb. Math., 194:3 (2003), 311–321 |