Exploring
The Platonic Solids Through
Construction
The pattern that is shown below is
called a NET. Nets are 2-d representations of 3-d objects. (with
a little manipulation that is.) GSP can be used to create these nets
so that you may construct models of the Platonic solids we have discussed
in previous lessons. The links below will give you Nets for a Tetrahedron,
and an icosohedron. Print these out for use later in the period.
Then use GSP to create nets for:
-
A Hexahedron
-
An Octahedron
-
A Dodecahedron
Keep in mind when making your own
nets, that there are certain ways you must put the polygons together to
yield the correct results. Below is an example of a net designed
to fold into a Hexahedron. Do you think it is a valid design?
Notice right away that there are seven
faces when a Hexahedron has only six faces. This is not a net that
will yield a Hexahedron!