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Towering Titans of Technological Terror

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Okay, this is unrelated to my current world building in any way whatsoever, but...

I have always been a huge fan of the humongous mecha genre (bonus points to anyone who actually recognized my avatar pic), and have done some world building in such a setting before. Unfortunately, it never really gets anywhere.

However, I would like to ask this: Besides bending the laws of physics or the fundamental rules of our current world (i.e. no 'lighter gravity' or 'magic'), what would be the best way for a humongous mecha to bypass the square cube law, while still being able to move respectably? Feel free to make as many assumptions as needed about the setting's scientific level - that is not the issue here.

Some rules:

  1. The mecha must be fundamentally humanoid. It does not need to walk with its feet, but it must have legs.
  2. The mecha must actually be huge. I mean 18 meter minimum. I know there are some mecha shows out there (Code Geass, Kotetsu Jeeg, etc.) that are less than that, but I've always held by 'anything smaller than RX-78 (of Gundam fame) is just too small.
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This post was sourced from https://worldbuilding.stackexchange.com/q/9423. It is licensed under CC BY-SA 3.0.

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