Transformation Matrices - Tetrahedra
I was wondering if anyone out there could help me with some 3d geometry transformations.
What I've got:
I have a tetrahedron (A) in Cartesian space, centred at the origin, with vertices at:
(1,1,1) , (-1,-1,1) , (-1,1-1) & (1,-1,-1).
What I would like:
A tetrahedron (B) with vertices at:
(-1,-1,-1), (0,-1,0), (-1,0,0), (0,0,-1)
How does one find the transformation matrix to transform tetrahedron A into tetrahedron B?
Any help will be greatly appreciated :)