It's not a sphere, but a non-intersecting graph cannot be drawn on one of these objects if and only if it has subgraphs homeomorphic to either K-sub 3 comma 3 or K-sub 5, a result known as Kuratowski's Theorem.
It's not a sphere, but a non-intersecting graph cannot be drawn on one of these objects if and only if it has subgraphs homeomorphic to either K-sub 3 comma 3 or K-sub 5, a result known as Kuratowski's Theorem. These entities can be defined by a point and a normal vector, and their equations can be of the form (*) ax+by+cz=d ("ay ex plus bee why plus see zee equals dee"). The intersection of two of these forms a line if they are not parallel, and three non-collinear points determine one. Two lines are skew if they do not lie on the same one of, for ten points, what construct from mathematics, a flat two- dimensional surface?
It's not a sphere, but a non-intersecting graph cannot be drawn on one of these objects if and only if it has subgraphs homeomorphic to either K-sub 3 comma 3 or K-sub 5, a result known as Kuratowski's Theorem.
{plane} (accept word forms like {planar}ity)