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Your assessment that I neglect the Tetrahedral board certainly used to be true, but since reading Ezra Bradford's comments I have endeavoured to prioritise it over hex-prism. Man and Beast now includes, I believe, an exhaustive set of Tetrahedral pieces up to SOLL 120, built on their duality with cubic pieces.
	As regards overlapping, it is a fact that some pieces in more than one geometry are recognisably the same. For one thing square pieces automatically exist in most 3d geometries, and 2d hex ones in Tetrahderal and hex-prism. Therefore when I mention a 2d piece I describe how 32d geometries affect it, rather than reintroducing the same piece elsewhere. Where two oblique pieces, one cubic and one Tetrahedral, can both be defined as an orthogonal and a diagonal piece at right angles I have defined it on separate pages for each geometry as the 'sameness' is not as clear-cut. I do define pieces using root-3 diagonals in all geometries in one page, but that is because radial directions are so few. The one radial direction that is specific to hex-prism I hived off away from the corresponding pages for the more mainstream radials.
	I am not so much 'devoted' to the numbering of my current Man and Bseast series as resigned to it. There are certainly some pages that I would welcome splitting out into separate pages, but to do so would need a shift in the numbering of later pages. The way that post-your-own is designed does not make that an easy process. My page of modest variant is still indexed as 'Voyager', even though that game was abandoned long ago, and if the editors cannot fix that I don't see how they could enable me to restructure Man and Beast.
	As everyone will see from my latest update to page 13, complaints about my omitting pieces can bear fruit and are not just a rant into the wind. I have defined a generalised Lemurian compound that can apply to a far wider range of pieces than just the ones in the original game.