This　paper　extended　the　concept　of　motif　by　maximum　cliques　defined　as　＇hyperedges＇　in　brain　networks,　as　novel　and　flexible　characteristic　network　building　blocks.　Based　on　the　definition　of　hyperedge,　a　naive　brain　hypergraph　model　was　constructed　from　a　graph　model　of　large-scale　brain　functional　networks　during　rest.　Nine　intrinsic　hub　hyperedges　of　functional　connectivity　were　identified,　which　could　be　considered　as　the　most　important　intrinsic　information　processing　blocks　(or　units),　and　they　also　covered　many　components　of　the　core　brain　intrinsic　networks.　Furthermore,　these　overlapped　hub　hyperedges　were　assembled　into　a　compound　structure　as　a　core　subsystem　of　the　intrinsic　brain　organization.　©　2012　Springer-Verlag.