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Simon's Vase: the Net

So Simon buys a vase made of congruent triangle faces and asks do all triangles do this? https://twitter.com/Simon_Gregg/status/758595606457753600 I think yes. Though some of the vases would be pretty spiky, What do you think? Here's my guess at a net for one ring, which can then be stacked. It should be doable for any even number of the 8 triangle unit.