The difference between Acme and Vertex

Acme as a noun:

The top or highest point; pinnacle; culmination.

Acme as a noun (medicine):

The crisis or height of a disease.

Acme as a noun:

Mature age; full bloom of life.

Vertex as a noun:

The highest point of something.

Vertex as a noun (anatomy):

The highest surface on the skull.

Vertex as a noun (geometry):

The common point of the two rays of the angle, or its equivalent structure in polyhedra (meeting of edges) and higher order polytopes.

Vertex as a noun (mathematics):

A point on the curve with a local minimum or maximum of curvature.

Vertex as a noun (graph theory):

One of the elements of a graph joined or not by edges to other vertices.

Vertex as a noun (computer graphics):

A point in 3D space, usually given in terms of its Cartesian coordinates.

Vertex as a noun (optics):

The point where the surface of a lens crosses the optical axis.

Vertex as a noun (nuclear, or, particle physics):

An interaction point.

Vertex as a noun (astrology):

The point where the prime vertical meets the ecliptic in the western hemisphere of a natal chart.