Five-Order Tetrahedron Puzzle and other Novelty Puzzles
There are some puzzles by nature can be made by the same set of puzzle parts:
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Regular Tetrahedron (4-face solid) parts * 45
Regular Octahedron (8-face solid) parts * 20
(* Each face of each puzzle part has a Magic Attractor imbedded beneath the center.*)
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Such set of puzzle parts can be used to form a Five-Order Tetrahedron Puzzle
(maybe it is called Professor Pyramid), in which the smaller order Tetrahedron can
be turned, or Converted (the term "Convert" means separate it from the Base,
then connect it to the Base with one of its other faces again).

We can also use the same set to form four other  independent Puzzles together:
----- Simplex Star (5 regular Tetrahedron parts connected forming a star shape) * 1
----- Regular Icosahedron (20-face solid) * 2
----- Regular Icosahedron Mould * 1


Puzzle Explorer: Daniel Tseng                                                     Date: 28 August 2002
5-Order Tetrahedron Puzzle formed by -
Regular Octahedron part * 20
Regular Tetrahedron part * 45

Top Left: Regular Icosahedron Mould
Bottom Right: Simplex Star           .
Top Right & Bottom Left:             .
Regular Icosahedron * 2
A Regular Icosahedron Mould
formed by 20 Regular Octahedron parts. .
This container can be used to make a regular icosahedron, because all the puzzle parts are separable. It is a twistable puzzle as well. 
5 layers of the Five-Order Tetrahedron Puzzle.
You can count the numbers of the puzzle parts.
Each red dot indicates a Regular Tetrahedron part, each green dot indicates a Regular Octahedron part.(Some Regular Tetrahedron parts are invisible.)
A Simplex Star
formed by 5 Regular Tetrahedron parts.
This puzzle can have two sets of exposed Outer-Coverings, each Outer-Covering has an Upper Visage and a Lower Visage, each Visage includes 5 regular triangle faces sharing a common vertex and having a complete picture or meaningful image on it.
A turned 5-order Tetrahedron puzzle.
Each layer can be turned, and every smaller order tetrahedron can be converted (seperated from the Base, then connect it to the Base again with one of its other faces) as well.