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The project of a micro-TPC matrix of cells of 3He for direct detection ofnon-baryonic dark matter is presented. The privileged properties of 3He forthis detection are highlighted. The double detection: ionization-projection oftracks is explained and its rejection evaluated. The specific capabilities ofthis project with respect to other experiments are mentioned and itscomplementarities concerning the supersymmetric phenomenology explicitlyshowed.Comment: to appear in Proc. of 5th International Workshop on the  Identification of Dark Matter (IDM2004), Sept. 2004, Edinburgh (Scotland

MIMAC-HE3: A NEW DETECTOR FOR NON-BARYONIC DARK MATTER SEARCH