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Both vertices and vertexes are acceptable, but vertices is more commonly used.
A standard six-sided die, commonly used in games, has eight vertices. Each of the six faces is a square, and the corners where the edges meet are the vertices.
an edge is a pathway to a vertex(vertex is singular for veertices), and a vertices are locations. they are used to represent things like buss routs, edges being the roads and vertices being the buss stops
Math is a way of modeling circuits. Once you have a mathematical model of a circuit, you can start to vary the math which is much easier than building the circuit and varying the hardware. Today, computers do much of the math.
A pyramid is a generic term used to describe a polyhedron with a polygonal base and a number of triangles rising from that base to meet at an apex. A pyramid whose base is a polygon with n-sides (or vertices) has n+1 faces, n+1 vertices and 2n edges, where n ≥ 3. So a pyramid with a heptagonal base will have 8 vertices!