Ladies & Gentlemen;
I was wondering if you could point me in the right direction. I have recently developed a keen interest in 4-cube (tesseract) research on a purely amateur level. Using sets of [8] dice I have experimented with “unrolling” the eight cubes and have a pretty solid handle on the concept. However, I am interested in knowing if it is possible to construct a diagram showing how each of the 24 faces of the cubes connect to the cubes on other faces. I have looked over what mathematical resources are available to us “civilians” out here and I have not been able to find such a chart or even guidance on how such a chart might be constructed. Ideally, I would like to be able to place this on a table with the various faces represented by small tiles connected by lines.
I was considering assigning a color to each face on each “die” and coding the connections by the protocol of “blue face, die 1 to blue face, die 4” and so forth and attempting to construct a small program to run it, but I am thoroughly stumped on how to create such an algorithm.
Can you provide any guidance on where I might be able to acquire the answer to my inquiry?