I spent a lot of time yesterday and this a.m. trying to get this tangle and had all but given up when I had an inspiration. Basically I deconstructed the pattern in my own way (read: cheating) and I think I may have got it. I quickly did a tile then roughed out how I drew this tangle (see below).
I don't know how well you can see this, but basically I've penciled in a smaller triangle above the first V and worked out from there, penciling in triangles at the tips of the points to carry it forward. I have erased the pencil in this tile, but I think it could be actually drawn in and used as a tangleation. Hope this helps anyone else who might be having trouble ...
