Module 4 : Simple Shape Paradigm
  Lecture 7 : Introduction; Basic Geometrics; Platonic Solids (Five Simple Solids); Simple applications in Packaging Design
 

‘The Greeks recognized that there are only five platonic solids. But why is this so? The key observation is that the interior angles of the polygons meeting at a vertex of a polyhedron add to less than 360 degrees.’ (Read more: http://en.wikipedia.org/wiki/Platonic_solid ; July 26, 2012).

A polygon is said to be regular if the edges are of equal length and meet at equal angles. A polygon is convex if the line connecting any two points inside the polygon is itself entirely inside the polygon.

Tetrahedron.svg
http://t1.gstatic.com/images?q=tbn:ANd9GcQQOHl102fZLrLGc3sv9TXwKC3NEFsSM8U-48GLYUnscYs3gzzA
 Plate5 Tetrahedron (Four Vertexes /Four Faces)

(Source : http://www.google.co.in/search?num=10&hl=en&site=imghp&tbm=isch&source=hp&biw
=1328&bih=574&q=Application+of+Tetrahedron+in+Products&oq=Application+of+Tetrahedron+in+
Products&gs_l=img.12...186971.215810.1.217597.38.12.0.26.26.0.181.1497.1j11.12.0...0.0...1ac.
5xzfmwhWe3o#hl=en&site=imghp&tbm=isch&sa=1&q=Tetrapack&oq=Tetrapack&gs_l=img.12...3
3141.39123.2.422411.11.0.0.0.0.0.0..0.0...0.0...1c.xeqt65P0szA&pbx=1&bav=on.2,or.r_gc.r_pw.r_
qf.,cf.osb&fp=6304bec68e605024&biw=1328&bih=574
; July 31, 2012)

Exercise #02: Make a Tetrahedron and create graphic design on all faces maintaining the character of the surface planes.  

The simplest of these shapes is the Tetrahedron (plate5), a four-sided faces solid bounded by equilateral triangles on all sides having four vertexes. Packaging industry widely uses the principle of tetrahedron for various products.