We prove that any closed orientable surface may be smoothly embedded in Euclidean
3-space so that when it is illuminated by parallel rays from any direction the shade cast on the surface
is connected.
@article{1209735313,
author = {Ghomi, Mohammad},
title = {Topology of Surfaces with Connected Shades},
journal = {Asian J. Math.},
volume = {11},
number = {4},
year = {2007},
pages = { 621-634},
language = {en},
url = {http://dml.mathdoc.fr/item/1209735313}
}
Ghomi, Mohammad. Topology of Surfaces with Connected Shades. Asian J. Math., Tome 11 (2007) no. 4, pp. 621-634. http://gdmltest.u-ga.fr/item/1209735313/