In Berezin integrals, variables representing these particles take values in the exterior algebra of a complex vector space and are called Grassmann numbers. Massless elementary particles of this type do not exist in the Standard Model, but massless quasiparticles of this type are found in Weyl (“vile”) semimetals. At absolute (10[1])zero, the occupation number distribution of these particles is a step function. If these particles are their own antiparticles, then their 4-spinor solutions to the Dirac equation are completely real. By the spin–statistics theorem, wavefunctions of these particles are antisymmetric with respect to exchange, which leads to them obeying the Pauli exclusion principle. For 10 points, name this type of particle with half-integer spin and contrasted with bosons. ■END■