In geometric modeling for design, what is the correct term for the 3D point formed where three or more surfaces (or edges) intersect in a solid object?

Introduction / Context:
Precise terminology allows designers and drafters to communicate shape, features, and constraints unambiguously. Points, edges, and faces are the basic building blocks in both manual drafting and modern CAD systems.

Given Data / Assumptions:

• We are describing the point formed by the intersection of multiple surfaces in 3D.
• The correct vocabulary must distinguish among point (vertex), line (edge), and area (face/surface).
• Usage should be consistent with CAD and engineering graphics standards.

Concept / Approach:

A vertex is a zero-dimensional point where edges (themselves intersections of faces) meet. In boundary-representation CAD models, the topology comprises vertices, edges, and faces. Correct naming prevents errors in constraints, dimensions, and feature definitions.

Step-by-Step Solution:

Verification / Alternative check:

CAD documentation universally uses vertex for corner points, enabling operations such as snapping, dimensioning to corners, and defining fillet/chamfer features.

Why Other Options Are Wrong:

Oblique: describes an angle or slanted orientation, not a point.

Line: a 1D geometric entity.

Edge: an intersection line between faces; not the point where multiple edges meet.

Common Pitfalls:

Using “corner” informally when “vertex” is the precise term in technical documentation and CAD constraints.

Final Answer:

Vertex