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A 3-gone does not have diagonals. The two diagonals of a 4-gon meet at a point. For all values greater than 4, the diagonals of an n-gon need not necessarily meet at a single point.
In two dimensions 6 triangles meet at a vertex. In 3-dimensions any number of triangles (greater than 2) can meet at a vertext - a pyramid with the base in the shape of an n-gon will have n triangles meeting at its apex.
584 sides on a 100-Gon
583 Degrees are in a 20-Gon
A 9-gon is a polygon with nine sides and nine angles