A low profile support frame for intraluminal medical devices, said support frame having a lengthwise axis (a 1), a radially compressed configuration and a radially expanded configuration, said low profile support frame comprising: a first wire member having first and second ends and defining a first arcuate path with a first curve disposed between the first and second ends; a second wire member having third and fourth ends and defining a second arcuate path with a second curve disposed between the third and fourth ends; a first connector connecting the first and third ends, a first transverse axis (a 2) passing through said first connector, transverse to said lengthwise axis; and a second connector connecting the second and fourth ends and spaced from the first connector in the direction of said lengthwise axis of said support frame, a second transverse axis (a 3) passing through said second connector, transverse to said lengthwise axis; the first and second wire members forming a closed circumference that defines a single closed cell; characterized in that: substantially no portion of said support frame is disposed on said first transverse axis opposite the first and third ends and substantially no portion of said support frame is disposed on said second transverse axis opposite the second and fourth ends when said support frame is in said radially expanded configuration; and when said support frame is in said radially expanded configuration, the first pair of ends (12a, 14a) extend along an axis that is different from, but substantially parallel to, the lengthwise axis and the second pair of ends (12b, 14b) extend along an axis that is different from, but substantially parallel to, both the lengthwise axis and the axis along which the first pair of ends (12a, 14a) extend. a first wire member having first and second ends and defining a first arcuate path with a first curve disposed between the first and second ends; a second wire member having third and fourth ends and defining a second arcuate path with a second curve disposed between the third and fourth ends; a first connector connecting the first and third ends, a first transverse axis (a 2) passing through said first connector, transverse to said lengthwise axis; and a second connector connecting the second and fourth ends and spaced from the first connector in the direction of said lengthwise axis of said support frame, a second transverse axis (a 3) passing through said second connector, transverse to said lengthwise axis; the first and second wire members forming a closed circumference that defines a single closed cell; characterized in that: substantially no portion of said support frame is disposed on said first transverse axis opposite the first and third ends and substantially no portion of said support frame is disposed on said second transverse axis opposite the second and fourth ends when said support frame is in said radially expanded configuration; and when said support frame is in said radially expanded configuration, the first pair of ends (12a, 14a) extend along an axis that is different from, but substantially parallel to, the lengthwise axis and the second pair of ends (12b, 14b) extend along an axis that is different from, but substantially parallel to, both the lengthwise axis and the axis along which the first pair of ends (12a, 14a) extend. substantially no portion of said support frame is disposed on said first transverse axis opposite the first and third ends and substantially no portion of said support frame is disposed on said second transverse axis opposite the second and fourth ends when said support frame is in said radially expanded configuration; and when said support frame is in said radially expanded configuration, the first pair of ends (12a, 14a) extend along an axis that is different from, but substantially parallel to, the lengthwise axis and the second pair of ends (12b, 14b) extend along an axis that is different from, but substantially parallel to, both the lengthwise axis and the axis along which the first pair of ends (12a, 14a) extend.