There are only five possible shapes for a die, if the die is to be considered fair. A fair die means each face has the same shape and the same possibility of appearing on every roll. The five possible shapes are
Tetrahedron: 4 faces, each face is an equilateral triangle
Cube: 6 faces, each face is a square
Octahedron: 8 faces, each face is an equilateral triangle
Dodecahedron: 12 faces, each face is a regular pentagon
Icosahedron: 20 faces, each face is an equilateral triangle
If you had five dice, each die being one of the five shapes above with each side containing a number, how many combinations are possible if you were to roll the five dice at the same time?