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One.
(The set of all points equidistant from the two sides of the angle. :)
The bisector of that angle.
Not always but yes if the shape is a square
Sixteen. If made from sides (facets) consisting of equilateral triangles, it has nine vertices (points or corners) and twenty-four edges. Unlike its first cousin the icosahedron, not all points are equidistant from the center of the solid.