We will give an overview of the subject of minimal spectral equipartitions in domains. The first part of the talk will give some history and known results about the related topic of nodal sets of eigenfunctions. The last part of the talk will introduce some recent works with Greg Berkolaiko, Yaiza Canzani, Graham Cox and Peter Kuchment that expand into the world of non-bipartite partitions.  Given time, we’ll discuss implications for graphs in addition to domains.