Methods and apparatus for catheters, adaptable tips for catheters, including for aspiration catheters, and aspiration catheters with adjustable tips

A movable hollow tip for a distal end of an aspiration catheter, the tip comprising

• a support ring having a solid annular element and a plurality of proximally-extending projections wherein at least one of the plurality of proximally extending projections includes a hollow circular end portion,
• a plurality of struts wherein adjacent struts are coupled to each other at respective nodes and wherein a plurality of nodes are coupled to the support ring and wherein the plurality of struts form a plurality of parallelograms extending circumferentially to form the shape of a cylinder,
• a plurality of extensions wherein each of the plurality of extensions is coupled to respective first and second nodes of adjacent nodes at distal portions of respective parallelograms, wherein each of the plurality of extensions includes at least first and second extension struts extending in a plane perpendicular to an axis of the tip when the tip is in a neutral state and
• at least one nonplanar radiopaque marker distal of the first and second extension struts, and
• a fluid impermeable coating over the plurality of extensions and the plurality of struts forming a cylindrical wall and extending distally beyond distal end portions of the plurality of extensions.