The method of solid modeling that defines the topology of faces, edges, and vertics, as well as data that defines the surface in which each face lies is called: A. constructive solid geometry B. layering C. boundary representation D. isometric E. None of the above

constructive solid geometry
layering
boundary representation
isometric E. None of the above

The correct answer is: C. boundary representation.

Boundary representation (B-rep) is a method of representing 3D objects by defining the surfaces that enclose them. It is a common method used in computer-aided design (CAD) and computer-aided manufacturing (CAM).

In B-rep, each face is defined by a set of edges, and each edge is defined by a set of vertices. The topology of the faces, edges, and vertices is stored in a data structure called a face graph. The surface in which each face lies is defined by a set of equations that describe the surface’s shape.

B-rep is a powerful method for representing 3D objects because it can represent complex shapes with a high degree of accuracy. It is also a relatively efficient method for storing and manipulating 3D data.

The other options are incorrect for the following reasons:

  • Constructive solid geometry (CSG) is a method of representing 3D objects by combining simpler objects using Boolean operations such as union, intersection, and difference.
  • Layering is a method of representing 3D objects by stacking layers of 2D shapes.
  • Isometric is a type of projection that shows three sides of an object at the same time.

I hope this helps! Let me know if you have any other questions.