Floating compression, also known as tensegrity, is structural magic.
You have struts and tendons, tied together in such a way that they hold each other up. The struts undergo compression and the tendons undergo tension. In other words, you have sticks which push and strings which pull. Also, you get bonus points if you build a structure such that none of the sticks or strings are touching each other, the parts should be suspended in space. It should hold itself up by itself.