The term "vertex position" refers to the specific location of a vertex in a geometric shape or graph. In geometry, a vertex is a point where two or more edges meet, such as the corners of a polygon. In graph theory, a vertex represents a node in a network, which can connect to other vertices through edges. In both contexts, the vertex position is crucial for understanding the structure and properties of the shape or graph. For example, in a triangle, the vertex positions determine the triangle's angles and area, while in a network, the vertex positions can influence connectivity and flow within the system.