RUS  ENG
Full version
JOURNALS // Informatics and Automation

Tr. SPIIRAN, 2012, Issue 21, Pages 203–227 (Mi trspy503)

Sets of cyclic congurations of a pentagonal linkage
A. M. Zhukova

References

1. M. Farber, D. Schütz, “Homology of planar polygon spaces”, Acta Appl. Math., 23:7 (1986), 113–135
2. G. Khimshiashvili, G. Panina, “Cyclic polygons are critical points of area”, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 8:360 (2008), 238–245  mathnet  mathscinet
3. G. Panina, A. Zhukova, “Morse index of a cyclic polygon”, Cent. Eur. J. Math., 2:9 (2011), 364–377  crossref  mathscinet  zmath  isi
4. G. Polya, Mathematics of Plausible Reasoning, Volume I: Induction and Analogy in Mathematics, Princeton U. Press, 1954  mathscinet
5. D. Robbins, “Areas of polygons inscribed in a circle”, Discrete Comput. Geom., 14:12 (1994), 223–236  crossref  mathscinet  isi
6. D. Zvonkine, “Configuration spaces of hinge constructions”, Russian J. of Math. Phys., 20:5 (1997), 247–266  mathscinet
7. V. V. Varfolomeev, “Vpisannye mnogougolniki i polinomy Gerona”, Matem. sb., 3:194 (2003), 3–24  mathnet  mathscinet  zmath
8. A. M. Zhukova, “Indeks Morsa tsiklicheskogo mnogougolnika II”, Algebra i analiz, 2012 (to appear)


© Steklov Math. Inst. of RAS, 2026