The plane can be covered by n + 2 clouds iff .
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm177-3-2, author = {James H. Schmerl}, title = {How many clouds cover the plane?}, journal = {Fundamenta Mathematicae}, volume = {177}, year = {2003}, pages = {209-211}, zbl = {1020.03047}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm177-3-2} }
James H. Schmerl. How many clouds cover the plane?. Fundamenta Mathematicae, Tome 177 (2003) pp. 209-211. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm177-3-2/