Geometric Theory and Polygons

The basic object used by 3ds max mesh modeling is vertex,

A point in the three-dimensional space. Two vertices linked by a straight line becomes the edge. Three vertices, each other who were connected define a triangle by three edges and it is the polygon that is the simplest in space of Euclid.

It can be made as an object of from a large number of triangles or one with above-mentioned vertices still more complicated polygon 3. There was 4 near a polygon (stated that generally it is a quadriceps femoris muscle) and a triangle is the most normal form used by polygonal modeling.

It is stated that generally a polygonal group related to each other is an element by shared vertices. Polygonal each which constitutes an element is called a face.

Geometric-Theory-and-Polygons

By geometry of Euclid, even a few point decides a plane on what kind of three same straight lines. For this reason, love triangles always live in one plane. However, this isn’t necessarily true about a still more complicated polygon. The triangular flat property does that I decide surface normalcy of, the triangular surface and a three-dimensional vector crossing perpendicularly (he / it) simply. And the surface normalcy helps that I decide little transportation in doing ray tracing and popularity is the key component of the model of high Phong shadow. Some expression systems use the standard of vertex for the standard of the face they look better, and to make a seen lighting system with cost of more processing. Please pay that all triangles have the standard of a certain two faces on the line of the other side of each other attention. I am visible or it is stated that the other side of the – polygon that it is thought that only these normal one is only fair by many systems is backface and it can be hidden the desire of the programmer.

mesh_overview

Much modeling programs don’t apply a geometric theory closely;, for example, two vertices occupies the place of the totally same space (he / it), and can have an edge according to a thing of two binding together. It is possible in the same way that there is two vertices in two existing faces in a coordinate of the same space or the same place. The situation such as these isn’t usually desired earnestly and many packages support a function of the automatic cleaning. However, (he / it) the must be deleted by manual labor if there isn’t automatic cleaning.

Max-Mesh-Splits

It is stated that a polygonal group linked together by shared vertices is mesh. When mesh is submitted, it means that an edge doesn’t pass a polygon to seem to be attractive, and it is non-desirable for self– to intersect. A method to see another this is that mesh can’t drill itself. It is desirable not to include an error such as vertices, the edge that mesh was doubled or the face in the same way. It is important that it which is – of the having many kinds that there is mesh for the purpose of few doesn’t include place) where a section according to two things of a hall or the singularities( mesh is connected to by one vertex.