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A cube has 8 points, but the mathematical name for a point is a 'vertice'
You can give them any name that you like. Conventionally, points are named by capital Roman letters but you do not have to stick by that. You could, if you wanted to, name them after your best friends!
Piece of pizza
For example, you might name an angle as "ABC", where "B" is the vertex, and "A" and "C" are points lying on the sides of the angle. If there are additional points on the same sides, you can substitute those points instead.
Its vertices.