Task 3 - Geometric Theory

The process of geometric theory in games development is a way to model the objects or characters within a game. The way that this is performed is through a design process which uses an initial that then gives the basic shape of an object which will later be built upon layers with different textures. The mesh is created through the process in which polygons are combined. Polygons are shapes that are two dimensional that have three key components which are vertices, an edge  and a face.

The creation of a polygon is by first having two vertices connect together by a line which creates the first edge. Then once another vertice is added along with two other line edges connected to it which then creates a basic triangular polygon with a face and is the simplest version of a polygon that can be made.  Before a basic shape like this is created extra vertices can be added to created a quad or a square-based pyramid which is composed of four edges. As you add more vertices you start to create different three-dimensional shapes like hexagons and decagons.

Links:
https://jcallisterdesign.wordpress.com/year-1/unit-66-3d-modelling/assignment-one/task-one/introduction-to-3d-modelling/explaining-geometric-theory/ 

Vertices: In geometry it is a point where two or more curves, lines or edges meet. As another  result of this definition when the point where the two lines meet to create an angle and the corners of a polygon and a polyhedra is a vertices.

Edges: In geometry is a particular type of line which joins two vertices together in a polygon, polyhedron or a higher-dimensional polytope.

Faces: In geometry it is a flat surface that then forms a part of the boundary of a solid object or a basic 2D shape.


The Cartesian Coordinates System
"A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin."

In computer graphics this is a method that helps to render and indicate points of a 2D surface or 3D space, it can be used to define the positions on the computer that is being displayed and also in the process of rendering virtual reality.

The cartesian coordinates system is used for many other subjects such as mathematics, physics, engineering, navigation, robotics, economics and other practices of Scientology.

Links:
https://en.wikipedia.org/wiki/Cartesian_coordinate_system