# 3-D Geometric Shapes In Space

5 years, 10 months ago
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A picture is worth a thousand words. With the procedures for displaying output primitives and their attributes, we can create a variety of pictures and graphs. In many applications, there is also a need of altering or manipulating displays. Design applications and facility layouts are created by arranging the orientations and sizes of the component parts of the scene. And animation are produced by moving the camera or the objects in a scene along animation paths. Changes in orientation, size, and shape are accomplished with geometric transformations that alter the coordinate descriptions of objects. We live in a three-dimensional world. Every object we see or touch has three dimensions that can be measured: length, width, and height. In the world around us, there are many three-dimensional geometric shapes. We are incorporating these behavior into three-dimensional solid shapes. Hence, naming our project "3-D Geometric Shapes in Space". A three-dimensional shape whose faces are polygons is known as a polyhedron. This term comes from the Greek words poly, which means "many," and hedron, which means "face." So, quite literally, a polyhedron is a three-dimensional object with many faces. The faces of a cube are squares. The faces of a rectangular prism are rectangles. And the faces of a truncated icosahedron are pentagons and hexagons — there are some of each. The other parts of a polyhedron are its edges, the line segments along which two faces intersect, and its vertices, the points at which three or more faces meet. The three dimensional Cartesian coordinate system provides the three physical dimensions of space — length, width, and height.The three Cartesian axes defining the system are perpendicular to each other. The relevant coordinates are of the form (x,y,z). The x-, y-, and z-coordinates of a point can also be taken as the distances from the yz-plane, xz-plane, and xy-plane respectively.The xy-, yz-, and xz- planes divide the three-dimensional space into eight subdivisions known as octants, similar to the quadrants of 2D space. While conventions have been established for the labelling of the four quadrants of the x-y plane, only the first octant of three dimensional space is labelled. It contains all of the points whose x, y, and z coordinates are positive.