The I Ching Is a Map, Of Every Position That Already (and Could) Ever Exist
What this means for the hexagrams
Every hexagram is a corner of that shape. I don’t mean this metaphorically. Yes the hexagrams are presented as symbols, but in reality, they not only take up space, they are space. A specific and unique position on a hypercubed map.
Each corner has exactly six neighbours. Those six neighbours are the six hexagrams you can reach by changing one line. One line changes and you have moved along a single edge to the immediately adjacent position. Two lines change and you are two edges away. Six lines change and you have crossed the entire diameter of the space, from one corner to the corner furthest from it.