The behavior of electrons in ordinary metals is dominated by physics near the Fermi surface.Indeed, many of the first successes of the quantum theory of solids, such as understanding the large specific heat of metals, followed from applications of the Fermi surface concept.Great effort has been devoted in recent years to semimetals in which the Fermi surface shrinks to a set of Dirac or Weyl points, where fouror two bands cross respectively.3D crystals with both kinds of band structure have been found in recent years, which completes a search that began in the 1930s with the work of Conyers Herring.