1. UNIT 9

2.  Geometrical volumes, like the one you can see on this page (in this picture), can be easily reproduced in real sizes by precise drawings.  These objective drawings should be made by following the methods of space representation: diedric, axonometric and conic - whose principles we will get to know in this unit.

3.  A volume is space that is occupied by tridimensional forms.  The volumes we can observe around us are not isolated. They exist in a tridimensional space where they relate with other elements and where they can be put in different positions.

4.  A correct design with an adequate construction and distribution of volumes makes objects useful and space inhabitable. For example, in this urban design, the volumes of buildings are related to the open space of streets and green areas. 

5.  Almost all of the objects that are used every day are tridimensional. Some of them separate the interior and exterior space using hollow forms. Others are solids and their volume is designed for comfortable use.

6.  A shape can be considered as a plan wrap which surrounds an object and poses its limits.  There are several ways to generate a volume from a shape plan.  When we look at a square we can only see two dimensions: length and height.  If we put a few more squares behind it we will create a 3D figure because we can also see the width. LENGTH HEIGHT WIDTH

7.  If we fold a 2D shape plan we can get a 3D object.  If we spin a shape plan using one of its sides as an axis we can generate a revolving 3D object.

8.  Regular polyhedrons are geometrical 3D- shapes formed by regular faces joined by its sides or edges

9.  A Platonic solid is a polyhedron that has only one kind of regular polygon for all faces, with the same number of faces at each vertex. (These are also called regular solids.)

10.  There only five platonic solids:  Tetrahedron: formed by 4 faces that are equilateral triangles

11.  CUBE OR HEXAHEDRON  Formed by 6 faces that are squares

12.  OCTAHEDRON  Formed by 8 faces that are equilateral triangles

13.  DODECAHEDRON  It has 12 faces which are regular pentagons

14.  ICOSAHEDRON  Formed by 20 equilateral triangles

15.  To unfold a surface of a polyhedron means separating the solid part of the outside wrapping from its sides and extending it to a plan forming only one piece.  Following an opposite method we can create a regular polyhedron through folding it from a plan. To do it we have to fold the figure's edges and stick the sides together in order until the whole surface is closed. It's very important to leave flaps to be able to join the sides.

16.  http://www.thecardermethod.com/clips/overvi ew.html http://www.thecardermethod.com/clips/overvi ew.html