(adsbygoogle = window.adsbygoogle || []).push({}); Number of "independent" subcubes of a hypercube

Hello, I am trying to solve this problem: I have ann-dimensional hypercube andmof its vertices. Now I want to compute the maximum number of subcubes of the entire hypercube such that:

- each subcube from the set may contain only thosemvertices

- no subcube from the set is part of another subcube from the set

Does anybody have any idea?

Thank you very much.

Best regards,

Standa

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Number of independent subcubes of a hypercube

**Physics Forums | Science Articles, Homework Help, Discussion**