I don't know modeling tools names for UV mappings - and I never used Hex.

I'm somewhat confident that "planar" means purely 2D. For example, you use the X,Y coordinates (scaled of course) to map to an image, and just ignore Z. That's planar. So, no I'm not doing planar.

A box or cubic mapping would probably not be it, either.  I believe in that there are six planar maps set up in a box shape. For each polygon, you look at which box it most closely faces and then planar map to that.

I don't know what to call this mapping. Smash the box flat mapping?

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Renderosity forum reply notifications are wonky. If I read a follow-up in a thread, but I don't myself reply, then notifications no longer happen AT ALL on that thread. So if I seem to be ignoring a question, that's why. (Updated September 23, 2019)