I am trying (right now failing) to construct a 3D reuleaux solid in blender. For those of you who don't know a reuleaux solid basically is a fancy word for solids of constant width. If you are a math nerd like me then you should go check them out as they are quite fascinating! (Here is a link to a informative Wikipedia page: Reuleaux Tetrahedron Wikipedia
My question is how can I take this 2D mesh object and create a 3D mesh object such as this Reuleaux tetrahedron:
I tried using the screw modifier but the blender gods laughed in my face. I think that there must be some way of rotating the figure around itself to accomplish this but I have yet to come upon that solution.
Thanks for the help!