My Filipino friend calls the flamboyant flame tree. Does this tree flower in Sydney?? Thanks for sharing.
JF and GreenThumb, I think you may be confused with Spathodea campanulata, also called Flamboyant tree, or African Tulip tree. They grow wild in in Hawaii, and many tropical places, and are a god-awful weed here, even though pretty, they just take over as seeds are wind borne and spread very rapidly.
There is another tree called flamboyant and that is Delonix regia, also called Royal Poinciana. That also grows here, is spectacularly colored, but only on dry side of the islands. This one is not weedy and is more valued.
Brachychitron that Mike posted about i haven't seen here, at least not yet.