monogon

monogon
a) A one-dimensional object comprising one vertex and one (not necessarily straight) edge both of whose ends are that vertex.

We explain to somebody what is a regular quadrilateral constructed within the circle; then a regular triangle and a regular bi-angle. Now we ask him to draw a regular monogon by analogy, and we probably think that he cannot do this. But what if he draws a point on the circle and says that it is a regular monogon?

b) A two-dimensional object comprising one vertex, one edge both of whose ends are that vertex, and one face filling in the hollow formed by that edge.

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


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