The 3rd hypercube is the cube below where planes cover the space in different ways. The 4th hypercube can be considered as many connected 3rd hypercubes. You are interested in planes, the example is from XRD lab related to solid state physics and crystallography.

enter image description here

Hosts such as ArXiv require certain TexLive version such as 2011 where you cannot use newer tools resulting into easy autogenerated pictures like here. You manually convert the pictures to images. For example in the case of TikZ you use \usetikzlibrary{external}\tikzexternalize and then use basic \includegraphics{...} as instructed by yo'. The manual conversion can ensure easier compiling of the future but an extra workflow step, taking time. You want to facilitate easy co-operation with your papers so people can adjust the sources for their research.

Which packages to visualise the planes in hypercubes?

  1. Is it better to build the visualisation codes inside the LaTex document or separately compile the pictures each time when updates?

  2. Is it better to rely on newer packages or older packages to avoid possible dependency problems of the future?

  3. How would you visualise the planes in your recommended package? Is it easy to use that package for higher dimensional cubes? You can consider the higher dimensional cubes in terms of graphs with higher vertex order.

  • 2
    Is this another question that you are going to answer yourself or is there another reason for not providing a minimal example for our graphical wizards? – Johannes_B Mar 22 '15 at 15:50
  • 1
    For further reading: Miller Index. They can be typeset formally using package miller. – Johannes_B Mar 22 '15 at 16:06
  • 5
    The standard terminology in English for "3rd dimensional hypercube" is "cube". Let's try not to use baffling terminology when there are ordinary English words available. The standard terminology for "hyperplane" in your question is not clear to me; which planes through the vertices are you allowing as "hyperplanes"? – Benjamin McKay Mar 22 '15 at 16:10
  • 1
    Is this an on-topic question preceded by an off-topic one or merely an off-topic one? That is, the issue of why there are not more 'planes' (in whatever sense this is used here) is not a TeX question, and is certainly off-topic. The question about how to visualise 'hyperplanes' might or might not be on-topic. If you are really asking 'what's the best way to visualise them?' it is surely off-topic. If you are asking 'what's the best way to draw such-and-such visualisation of them?' you need to clarify that. – cfr Mar 22 '15 at 22:54
  • 1
    @Johannes_B I've been informed that answering one's own questions is deemed acceptable in this group. – user10274 Mar 23 '15 at 13:39

Browse other questions tagged or ask your own question.