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A vertex (plural: vertices or vertexes) is the point of intersection of lines (like the 'corners' of a 3D shape). A corner is the same but where only two lines are intersecting.
plane shape
A circle is not a plane shape. A circle is round a plane is not. A plane has parts that are similar to a circle shape.
Yes. Two triangle touching corner-to-corner. There would be six sides, but only 5 vertices because one vertex is shared.
Wich 3 D shape has a corner on it?