we overview the cost of a group action, which measures how much information is needed to generate its induced orbit equivalence relation, and the ideal poisson-voronoi tessellation (ipvt), a new random limit with interesting geometric features. in recent work, we use the ipvt to prove all measure preserving and free actions of a higher rank semisimple lie group on a standard probability space have cost 1, answering gaboriau's fixed price question for this class of groups. we sketch a proof, which relies on some simple dynamics of the group action and the definition of a poisson point process. no prior knowledge on cost, ipvts, or lie groups will be assumed. this is joint work with mikolaj fraczyk and sam mellick.