  The project of a micro-TPC matrix of chambers of He3 and CF4 for direct
detection of non-baryonic dark matter is outlined. The privileged properties of
He3 are highlighted. The double detection (ionization - projection of tracks)
will assure the electron-recoil discrimination. The complementarity of MIMAC
for supersymmetric dark matter search with respect to other experiments is
illustrated.The modular character of the detector allows to have different
gases to get A-dependence. The pressure degreee of freedom gives the
possibility to work at high and low pressures. The low pressure regime gives
the possibility to get the directionality of the tracks. The first measurements
of ionization at very few keVs for He3 in CF4 gas are described.
