Bodies of constant width in arbitrary dimension
Lachand-Robert, Thomas ; Oudet, Edouard
HAL, hal-00385113 / Harvested from HAL
We give a number of characterizations of bodies of constant width in arbitrary dimension. As an application, we describe a way to construct a body of constant width in dimension n, one of its (n-1)-dimensional projection being given. We give a number of examples, like a four-dimensional body of constant width whose 3D-projection is the classical Meissner's body.
Publié le : 2007-01-01
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00385113,
     author = {Lachand-Robert, Thomas and Oudet, Edouard},
     title = {Bodies of constant width in arbitrary dimension},
     journal = {HAL},
     volume = {2007},
     number = {0},
     year = {2007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00385113}
}
Lachand-Robert, Thomas; Oudet, Edouard. Bodies of constant width in arbitrary dimension. HAL, Tome 2007 (2007) no. 0, . http://gdmltest.u-ga.fr/item/hal-00385113/