intertwine something with something
to mingle or twist something together with something else. She intertwined the flowers with the sprigs of greenery, making a lovely wreath. The flowers were intertwined with sprigs of greenery.
intertwine with something
to twist together with something else. The vines intertwined with the ropes and cables that had once held the beached raft together. The cables from the two cranes intertwined with each other, causing a serious accident.