  The extension of the Periodic System into hitherto unexplored domains -
antimatter and hypermatter - is discussed. Starting from an analysis of hyperon
and single hypernuclear properties we investigate the structure of
multi-hyperon objects (MEMOs) using an extended relativistic meson field
theory. These are contrasted with multi-strange quark states (strangelets).
Their production mechanism is studied for relativistic collisions of heavy ions
from present day experiments at AGS and SPS to future opportunities at RHIC and
LHC. It is pointed out that absolutely stable hypermatter is unlikely to be
produced in heavy ion collisions. New attention should be focused on short
lived metastable hyperclusters ($\tau \propto 10^{-10}$s) and on intensity
interferometry of multi-strange-baryon correlations.
