Nature consists of endlessly transforming energy! Is there a complex polyhedral model which is capable of transformation within itself without the addition or subtraction of further elements? Below we describe a two-blocksystem in which a single sixty-four-block cube is transformed into a similar but different sixty-four-block cube. We will show how this phenomenon of “inter-transformability” is the direct result of the cubes constituent parts, how its parts can combine and recombine to form many other geometric structures and the implications of this two-blocksystem for education.