In the international mathematical competition universe, a fresh breeze appears to be blowing through the topic area of Solid Geometry. While simple problems in solid geometry have never stopped being staples of popular competitions, such matters have been relegated somewhat to the fringes of higher-level competitions in recent decades in international competition. This has also proven to be true in many national contexts, even if the subject never really went away, or even lost popularity, in some countries.
Now that geometric problems in three dimensions appear poised to shift toward greater visibility in the international competition world, it would seem to be a good time to take a closer look at some of the wonderful problems of this type that have been posed in competitions over the years.
In my talk I will present some problems of this type that specifically concern tetrahedra, the simplest of the three-dimensional solids.
