Q: What is the name of a corner on a solid where three or more faces meet?

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It is a corner: a point where three of more faces meet.

In a 3-dimensional shape with polygonal faces, an edge is a straight line at which two faces meet. A vertex is a point where three or more edges meet. In solid shapes which are not polyhedra, an edge is still a line - possibly curved - where two faces meet. But a vertex can be any corner, for example, the point of a cone.

A corner

vertex

a vertex

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a vortex

It is a corner: a point where three of more faces meet.

a vertex

A corner

vertex

In a 3-dimensional shape with polygonal faces, an edge is a straight line at which two faces meet. A vertex is a point where three or more edges meet. In solid shapes which are not polyhedra, an edge is still a line - possibly curved - where two faces meet. But a vertex can be any corner, for example, the point of a cone.

4 corners

VERTEX

vertex/vertices

In geometry and trigonometry, an angle (in full, plane angle) is the figure formed by two rays sharing a common endpoint, called the vertex or vertex of the angle (vertices in plural).With solid figures, like pyramids or polyhedrons, a vertex is a corner where three or more of the faces meet.Remember,* faces are the flat sides.* Edges are the lines where two of the faces meet.* Vertices are the corners where three or more of the faces meet.

It is the vertex and its plural is vertices

That's a "vertex".