Spider-man's magical snake

Ernő Rubik is one of the best known puzzle creators of the last 45 years: his best known puzzle, the Rubik's cube, was invented in 1974 and then marketed first as Hungarian Magic Cube in 1977 and then as Rubik's Cube in 1980. Rubik designed a second puzzle, dates to 1981, also based on the same principle of the Cube. The puzzle also had an exceptional testimonial, Spider-Man, in a one-page story: The mystery of the museum snakes. During the story, Spider-Man used the puzzle as the best trap to catch a gang of thieves.
But what is this new puzzle? Let's read it in the words of its creator:

The snake is not a problem to be solved; it offers infinite possibilities of combination. It is a tool to test out ideas of shape in space. Speaking theoretically, the number of the snake's combinations is limited. But speaking practically, that number is limitless, and a lifetime is not sufficient to realize all of its possibilities.

Snake is made of 24 prisms, lined up in a row with alternate orientation (up and upside down). Each prism can assume 4 different positions, each with a 90° deviation. Prisms usually have alternating colors.
The number of different forms that Snake can take is at least \(4^{23} = 70368744177664\), over than 70 trillion. But the real number of shapes is lower, because some configurations are spatially impossible, since they would require more than one prism to occupy the same region of space.

via flickr