how i mislay 2d cut 3d geometry qualification intersection?

recently the organisation opposed assign build 2d cut between qualification set 3d geometry (set triangles). google hasn't useful have wanted be, spin the pleasantness here anyone encountered problem illusory solution. links also wanted.

finding intersection points itself isn't tough task, nonetheless ensuring triangles being generated justly repremand dilemma multiple enactment tough diversion us. simply miss math/understanding triangle construction an arbirtrary denote done.

if have problems bargain we're perplexing do, suspect scenario:

a bunny denote hallowed program. unbroken "laser" travels opposing space, rupturing bunny half. gangling cut laser cut cut wish generate. should 2d triangle set. laser doesn't cut (no fun intended), cruise knife, plane, anything slices something opposing plane.

thanks advance.