Are tetrahedron spaceframes strong versus flex?

I am considering how a spaceframe would work as a rigid batten in a sail. Tubes are most often used, so I can’t imagine this would be cost effective; it’s mostly a thought experiment. I’m not a mathematician in anyway, or even an engineer, just a hobbyist, so if you want to go deep, just know I need a TL;DR at some point. :}