monogon

A geodesic with multiple points contains at least one simple monogon.

According to Theorem 4.1.1, such a derived imbedding could be obtained from an imbedded voltage graph with one vertex, 6s+2 edges, and 4s+2 faces. Of these faces, 4s+1 should be 3-sided and satisfy KVL. The other face should be a monogon whose net voltage has order two.

A new optical scanner is described which serves as a monogon or single-facet device, providing one scan per shaft rotation.