The "spin family" art works have a model of something with spin 2 1/2. I can't find any particle with this property. The max seems to be the graviton with spin 2.
Aha, now we're getting somewhere. So is there any theoretical limit on the amount of spin a particle can have?There aren't any elementary particles with spin 5/2 is nature. There are however bound states with total angular momentum 5/2. Examples include certain excited states of the proton and neutron, as well as atomic ions like Cu2+.