HA7 - Task 3 Geometric Theory

Task 3 - Geometric Theory

The Cartesian Coordinates system is a system which uses numerical coordinates which are measured in the same unit of length. Each point is specified uniquely in a plane. Each reference line is an axis and the point they meet in the origin. The creator of this system was the French philosopher and Mathematician Rene Descartes who used the name Cartesius in Latin.

2D Coordinate system

 

3D Coordinate system

Geometric Theory & Polygons

In mesh modelling the most basic polygon used is a triangle. In order to make more in depth polygons triangles can be put together. Alternatively you can use a single object but it must have more than 3 vertices. This would be referred to as an element. Each separate polygon which makes this element is called a face. A group of polygons connected by shared vertices is known as a mesh.

Basic geometric theory is that points join together to make edges, then edges join together to make a polygon. These polygons can then be joined together to form mesh. 

Sources

http://www.incrediblelifetime.com/wp-content/uploads/2014/05/rene-descartes.jpg

http://image.tutorvista.com/cms/images/38/coordinate-system-cartesian.jpg

http://th07.deviantart.net/fs42/PRE/f/2009/090/7/3/Gremlin_Model_WIP_WireFrame_by_r_i_u.jpg

http://th01.deviantart.net/fs70/PRE/f/2012/298/c/c/bmw_335i_2012_wireframe_render_by_3dstate-d5ixecw.jpg

http://mmi.oregonstate.edu/sites/default/files/img_3DPG_WF1.jpg