Tuesday, 28 April 2015

HA7 Task 3


Geometric Theory:


Geometry:

Geometry is the visual study of shapes, sizes, patterns, and positions. It occurred in all cultures, through at least one of these five strands of human activities: 

1. building/structures (building/repairing a house, laying out a garden, making a kite)

2. machines/motion (using a pry-bar, riding a bike, sawing a board, swinging) 

3. navigating/star-gazing (How do I get from here to there?, using maps) 

4. art/patterns (designs, symmetries, representations)
5. measurement (How big is it?, How far is it?)  

The Cartesian Coordinates System


Cartesian coordinates, also called rectangular coordinates, provide a method of rendering graphs and indicating the positions of points on a two-dimensional (2D) surface or in three-dimensional ( 3D ) space. The scheme gets its name from one of the first people known to have used it, the French mathematician and philosopher RenĂ© Descartes (1596-1650). The Cartesian coordinate system is used to define positions on computer displays and in virtual reality (VR) renderings. The system is also employed in mathematics, physics, engineering, navigation, robotics , economics, and other sciences.Cartesian three-space, also called xyz -space, has a third axis, oriented at right angles to the xy -plane. This axis, usually called the z axis, passes through the origin of the xy -plane



Geometric Theory And Polygons


Polygons are what make up the actual model when it is finished, a complete model could have thousands of polygons which is then known as a mesh.

Primitives 

The term geometric primitive in computer graphics and CAD systems is used in various senses, with the common meaning of the simplest (i.e. 'atomic' or irreducible) geometric objects that the system can handle (draw, store). Sometimes the subroutines that draw the corresponding objects are called "geometric primitives" as well. The most "primitive" primitives are point and straight line segment, which were all that early vector graphics systems had. In constructive solid geometry, primitives are simple geometric shapes such as a cube, cylinder,sphere, cone, pyramid, torus.

Surfaces


When surfacing a 3D object you have to create a UV map which will look stretched and very strange but when wrapped around the model it will look ordinary.


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