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And incompressible water.

Hard to tell who’s a bigger retard, you or OP.

Sure, your's is one way to design a space elevator, if you can ever find a material with that much tensile strength. Good luck with your science fiction ideas about magical ropes. Materials science doesn't show rope or cable as a possibility with the tensile strength necessary for the distances required. But compressive strenth of water is capable of carrying such loads. We just need to figure out how to make it stack really tall.

The goal of a an ice tower is to exploit the incompressibility of water and flip the impossible tensile strength rope problem into a heating and cooling problem that is based in reality.

We know how to freeze water. We know how to stack frozen water. We just need to freeze it really tall and re-freeze it whenever it breaks or thaws.

Water is incompressible. When ice compresses, it turns back to water. If you keep re-freezing it, then it remains incompressible.