a substantially circular cross sectional shape for example although the one or more first elongate members may optionally have a substantially oval cross sectional shape the one or more first elongate members preferably also are formed of a plurality of first elongate members such as a plurality of first wires for example as is illustrated in fig1 the generally tubular braided flow diverting stent can be formed with round wires wound helically in a right handed helical direction and rectangular wires wound helically in a left handed helical direction referring to fig3 the one or more second elongate members preferably have a substantially flat radially outer surface in another presently preferred aspect the one or more second elongate members typically have a cross sectional height or thickness h in a first direction and a cross sectional width or thickness w in a second direction perpendicular to the first direction substantially greater than the cross sectional height or thickness in the first direction and typically have a generally rectangular or flattened aspect for example the one or more second elongate members preferably also are formed of a plurality of second elongate members such as a plurality of second wires for example the one or more first elongate members and the one or more second elongate members are preferably formed of a material such as stainless steel nickel titanium alloy tantalum cobalt chromium alloy platinum or the like or of a polymer such as a shape memory polymer or a bioabsorbable material such as poly d l lactic acid co glycolic acid pgla polycaprolactone pcl or the like or.