On arachnoid mechanisms formed by concatenation of arc-length parametrized curves

Kamiyama, Yasuhiko

Kodai Math. J., Tome 31 (2008) no. 1, p. 323-332 / Harvested from Project Euclid

Résumé

We consider arachnoid mechanisms which are formed by concatenation of arc-length parametrized curves in R³ such that the initial point of each curve is fixed to a vertex of a convex polytope P. We prove that the configuration spaces of such arachnoid mechanisms are described in terms of the polar polytope P^Δ. Using this, we determine the homotopy type of the configuration spaces when P is a tetrahedron, cube or octahedron.

Publié le : 2008-10-15
Classification:

@article{1225980439,
     author = {Kamiyama, Yasuhiko},
     title = {On arachnoid mechanisms formed by concatenation of arc-length parametrized curves},
     journal = {Kodai Math. J.},
     volume = {31},
     number = {1},
     year = {2008},
     pages = { 323-332},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225980439}
}

Kamiyama, Yasuhiko. On arachnoid mechanisms formed by concatenation of arc-length parametrized curves. Kodai Math. J., Tome 31 (2008) no. 1, pp.  323-332. http://gdmltest.u-ga.fr/item/1225980439/