It remains horribly confusing. One thing you are missing is a big picture perspective on how everything fits together. The method I described, being based solely on the geometry of the 2D representation of a tesseract, has the big picture perspective built into it.
Its rules for adjacency are as follows:
If one face is on the inner cube, and one is on the outer cube, they are not adjacent. So, for any x and any y, 0x is never adjacent to yy.
If two different faces are on the inner cube or on the outer cube, they are adjacent if they are not on opposite sides of the cube. So, for any x, 0x or xx is adjacent to others of the same pattern except for pairs with the digits 1 and 6, 2 and 5, or 3 and 4.
Otherwise, two faces are adjacent if they share a digit in common.
Here is an illustration of it that I drew on my Kindle Scribe this morning.
Each face has lines connecting it to other faces. If there is a line between them, or there are two lines between them on the same path, then they share an edge in the tesseract. From the inside out, the paths are a star of David, a circle connecting faces of the inner cube with some neighboring faces, the outline of a star of David, a larger circle connecting faces of the outer cube, and two curved triangular shapes that interlock like a star of David. Most faces appear only once, but to avoid crowding of the diagram, six are repeated along the innermost and outermost paths. The innermost one connects them with faces of the inner cube, and the outermost one connects them with faces of the outer cube.
It remains horribly confusing. One thing you are missing is a big picture perspective on how everything fits together. The method I described, being based solely on the geometry of the 2D representation of a tesseract, has the big picture perspective built into it.
Its rules for adjacency are as follows:
Here is an illustration of it that I drew on my Kindle Scribe this morning. Each face has lines connecting it to other faces. If there is a line between them, or there are two lines between them on the same path, then they share an edge in the tesseract. From the inside out, the paths are a star of David, a circle connecting faces of the inner cube with some neighboring faces, the outline of a star of David, a larger circle connecting faces of the outer cube, and two curved triangular shapes that interlock like a star of David. Most faces appear only once, but to avoid crowding of the diagram, six are repeated along the innermost and outermost paths. The innermost one connects them with faces of the inner cube, and the outermost one connects them with faces of the outer cube.