English Dictionary

monogon

名詞

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

日本語の意味

（幾何学）一点と、この一点に両端が接続された、必ずしも直線でない唯一の辺からなる一次元の対象

In topology class, the professor drew a curious shape labeled monogon to illustrate a one-vertex edge loop on a surface.

位相幾何の授業で、教授は表面上の一つの頂点を持つ辺のループを説明するために、頂点が1つでその両端が同じ頂点になっている一本の（必ずしも直線ではない）辺から成る一次元の図形と表示された奇妙な図形を描いた。

意味（1）

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

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

意味（2）

(geometry) 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, 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.

意味（3）

(optics) A single-faceted reflector.

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

monogons （ plural ）