


Description 



Adjacent Faces: Two faces of a polyhedron that share a common edge. 
The
figure above shows three sides of a cube. The faces of the cube are the colored squares. The edges are labeled with lowercase letters and are
the line segments where the faces intersect. The vertices are labeled with capital letters and are points where the edges intersect.
There are six faces: red, green and blue that you can see here, and faces in the back, on the left and on the bottom that are not shown. There are eight vertices: A,
B, C, D, E (hidden in lower left rear corner), F, G, H. There are twelve edges: o, p, q, r, s (or EF, hidden in lower rear), t (or EH, hidden in left rear), u, v, w, x
(or AE, hidden in lower left), y, and z.
The red and green faces are adjacent. The segment where the red and green faces meet is an edge (labeled r). Likewise, the red and blue faces are adjacent, and the segment where these faces meet is an edge (labeled q). Also in view, the blue and green faces are adjacent, and the segment where these faces meet is also an edge (labeled z). Note: the blue face on top and the colored face on the bottom (which you cannot see here) are not adjacent faces because they do not share a common edge.
The three line segments q, r, and z meet at a point called a
vertex (labeled C).
To explore this on your own, click here to open a page with a template for a cube. Print out the template
and construct the cube.
Finding the faces, edges, and vertices of another solid is analogous to finding them on the cube. To try and build your own model of the Platonic solids, click below to go to a page with a template:
cube
dodecahedron
icosahedron
octahedron
tetrahedron


