I have never seen the Pyraminx. I wonder if somebody could tell me
whether the picture I put together from the various comments made about
the Pyraminx is correct?

I am fairly certain that the Pyraminx is a regular tetrahedron. In the
solved state each of the four faces shows only one of the four colours.

I think the Pyraminx is cut along 8 planes, two planes perpendicular to
each of the four heights (i.e., the four lines that connect a corner with
the center of the opposite face). I think for the Pyraminx those planes
intersect the height at about 2/5 and 3/5 of the length of the height.

Those planes cut the Pyraminx into 15 pieces (1 central piece, 4 corners,
4 inner pieces, and 6 edes), which are all visible. Each face is cut
into 10 facelets by them as follows.

               +
              / \
             /   \
            /     \
           /       \
          /         \
         +-----------+
        / \         / \
       /   \       /   \
      +-----+-----+-----+
     / \     \   /     / \
    /   \     \ /     /   \
   /     \     +     /     \
  /       \   / \   /       \
 /         \ /   \ /         \
+-----------+-----+-----------+

The Pyraminx Star was descibred as a Pyraminx without the centers.
So I guess each face of the Pyraminx Star looks as follows.

               +
              / \
             /   \
            /     \
           /       \
          +---------+
         / \       / \
        /   \     /   \
       /     \   /     \
      /       \ /       \
     +---------*---------+
    / \       / \       / \
   /   \     /   \     /   \
  /     \   /     \   /     \
 /       \ /       \ /       \
+---------+---------+---------+

The Pyraminx Snub was described as a Pyraminx without the tips.
So I guess each face of the Pyraminx Snub looks as follows.

   +-----------+
  / \         / \
 /   \       /   \
+-----+-----+-----+
 \     \   /     /
  \     \ /     /
   \     +     /
    \   / \   /
     \ /   \ /
      +-----+

I have no idea what Pyraminx Senior and the Pyraminx Master look like.

Have a nice day.

Martin.

-- .- .-. - .. -.  .-.. --- ...- . ...  .- -. -. .. -.- .-
Martin Sch"onert,   Martin.Schoenert@Math.RWTH-Aachen.DE,   +49 241 804551
Lehrstuhl D f"ur Mathematik, Templergraben 64, RWTH, 52056 Aachen, Germany