Self-expanding stent with polygon transition zone

1. A stent comprising:

a main body formed from a plurality of first cylindrical windings wherein adjacent cylindrical windings are connected by at least one first strut, further comprising,

a transition zone disposed at one end of the main body, the transition zone comprising a plurality of polygons, wherein surface area of the polygons across the transition zone increases circumferentially relative to the long axis of the stent,

each polygon of the plurality of polygons comprises a first undulation comprising a plurality of segments and a second undulation comprising a plurality of segments, and two connecting segments directly connecting a segment from the plurality of segments of the first undulation and a segment of the plurality of segments of the second undulation to connect the first undulation and the second undulation,

the length of each of the segments of the plurality of segments in the first and second undulations are equal within each polygon, and

the connecting segments connecting the first and second undulations increase in length circumferentially relative to the long axis of the stent

wherein the bending moment of the first undulation and the second undulation in each polygon is equal, and the bending moment of the first and second undulations remains constant across the transition zone.

2. The stent of claim 1 wherein adjacent polygons have unequal surface areas.

3. The stent of claim 2 where the surface area of the polygons increases in a clockwise manner relative to the long axis of the stent.

4. The stent of claim 2 where the surface area of the polygons increases in a counterclockwise manner relative to the long axis of the stent.

5. The stent of claim 1 wherein the two segments connecting the first undulation and the second undulation in each polygon are substantially parallel to each other in a crimped configuration relative to the long axis of the stent.

6. The stent of claim 1 further comprising an end zone disposed at either end of the main body, wherein the end zone is attached to the transition zone by at least one third strut.

7. The stent of claim 6 wherein the end zone comprises at least one second cylindrical winding.

8. The stent of claim 7 further comprising at least one radiopaque marker.

9. The stent of claim 1 wherein the plurality of first cylindrical windings propagate helically.

10. The stent of claim 1 wherein each polygon of the plurality of polygons is a hexagon.

11. The stent of claim 10 wherein the length of each segments in the first and second undulations are equal across the transition zone.

12. The stent of claim 1 wherein the plurality of first cylindrical windings comprise a plurality of third undulations and wherein each third undulation comprises two segments.

13. The stent of claim 12 wherein the two segments are linear.

14. The stent of claim 12 wherein the two segments are curvilinear.

15. The stent of claim 12 wherein the number of segments between two first struts is 3, 5, 6, 7, 8, 9 or 10.

16. The stent of claim 1 further comprising an end zone disposed at either end of the main body, wherein the end zone is attached to the transition zone by at least one third strut.

17. The stent of claim 16 wherein the end zone comprises at least one second cylindrical winding.

18. The stent of claim 17 further comprising a radiopaque marker.

19. The stent of claim 1 wherein the segments are linear.

20. The stent of claim 1 wherein the segments are curvilinear.