P
l
a
t
o
n
i
c
S
o
l
i
d
s
We have talked about
regular polygons
in previous sections, and we have explored
polyhedra
as well. Now let us take a look at what are known as
regular polyhedron
. A regular polyhedron is a
convex polygon
whose faces are bounded by
congruent
convex polygons whose
dihedral angles
are congruent. Named after the Greek philosopher
Plato
, these 5 "
Platonic solids
" were thought to represent elements of the natural world. These are listed below.
Tetrahedron
(fire)
Hexahedron
(earth)
Octahedron
(air)
Dodecahedron
(universe)
Icosohedron
(water)
Each solid is named by the number of faces it has. Recall from previous discussions that
Tetra
means four. For your first investigation, complete the chart below. Use the example for a Tetrahedron to help guide you. When you are through,
print out the page, and hand it in.
Student Name:
Regular Solid
Number of Faces
Type of Faces
Number of Faces
at each Vertex
Total Number of Faces
Total Number of Edges
Tetrahedron
4
triangular
regions
3
4
6
Hexahedron
Octahedron
Dodecahedron
Icosohedron
Next Page