Here are simulations of 3D Plato bodies and wireframe projection of four-dimentional cube on three dimentional space.
In the first and the second seletct the Euler angles of coordinate system by text fields and press "update", or press "run".
In the third angles of rotation of 3D-space in 4D one (right sliders) and coordinate system in 3D-sapce relative to observer (left sliders) can be set.
Tools: AS1