I haven't (as yet) made much of an effort to follow RWG's constructions,
In the case of the Treano function, that's effort well misered.
I'm afraid --- not speaking Macsyma doesn't help. It looks to me from his diagrams as though the neighbour connections are sometimes through lattice cube vertices, sometimes edges, sometimes faces --- is this correct?
WFL
Fred, that (self redefining) exact rational Treano function is Mathematica, not Macsyma! It maps 0 to (0,0,0) and 1 to (1,0,1), and all connections are corner to corner. I (incorrectly) thought my ViewPoint trajectory included a good view of this. Sorry. The problem is, to avoid self-contact, the plot images [1/1536,1-2/1536], not [0,1], so it never actually hits a corner. Once you have the exact function, you are no longer bound by diagrams. --Bill POLYSEMANTIC PLASTIC MONEY AMYLOPECTINS