Software Listing: N3d24

To render n - dimensional cube type "ndimcube(n)" On the screenshot you see a render of "12-dimensional cube". Rendering is processed recursively, by copying "n-1" dim.cube and connecting the vertices of the two copies to get an "n" dimcube . Interesting issue : it can be proved , that for n , that is different from the power of 2(i.e. 2^k), the render includes the center point of symmetry. I couldn't however prove the opposite : for n = 2^k ,the render doesn`t include the center . As you`ll see, for n=2,4 and 8 , this is true. However I wasn`t able to check it for n=16 on my computer. Maybe it could be done on more powerfull machine.

  • Platform: Matlab, Scripts

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