The vertices will define the shape of the geometry The shape is defined by its coordinate point or vertices.This structure has a substantial influence on what you can do with the geometry. These faces together between all the coordinate points are what we are seeing. To make the form visible they added between each three points a triangular surface, which is called a face. A set of coordinate points are maybe interesting for the computer to work with, we only see a lot of dots. Its form is defined by a set of coordinate points (vertices). The polygon is a very simple description of geometry. Polygon is a straight forward description of geometry in 3D. We will use polygons for the first two workshops. It will define what kind of form can be generated, the possibilities of altering the form and the accuracy of the form ( interesting if you want to digitally manufacture the object). If we want to design in the computer we will have to know the properties of the geometry we use in the design process. You would not use a saw on clay and you would not use MDF to make a model with a double curved surfaces. Each material has its own properties, ways how to modify it and the forms you can create with it. It can be compared with the different use of cardboard, MDF or clay in making a physical model. The objects we create in Maya, like real objects, have certain properties which define their possible use.
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