Designing a turing machine which can recognize cubes in c++

Hello! I'm a computer Science student familiarized with turing machines. I'm confident I can design the Turing machine you need. I've previously worked with turing machines and created one for example that is able to sum two natural numbers, using a one tape machine. This can be found here, in case it might be of interest: [login to view URL] There are a few variations of those machines, like one-taped machines or multiple tapes machines. Is there a limitation of the sort? Additionally, which code library are you using to run machines? Is it a C++ library that creates and simulates turing machines?These can change many details on how information is stored, the actions allowed, etc. Lastly, what do you mean by recognizing a cube, what's the input? Is it 8 points in R^3 and checking if they make up a cube? I'll be glad to keep discussing the project and clear up any further details to work together. Thanks!

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