TITLE: Does this triangle have a name?
QUESTION [8 upvotes]: For any triangle $A$ (black below), form an enclosing triangle $B$ with sides
perpendicular to $A$'s angle bisectors (red).
Does this triangle $B$ (blue) have a name?
     
A nod to vonbrand's question: This came up in exploring geodesics on a tetrahedron. It would take me far afield to explain more fully.

REPLY [9 votes]: We could possibly call it the Anticevian triangle
with respect to the incenter,
Edit: Using the above and google  it seems it is called the
Excentral triangle.