In geometry, the pentagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two pentagrams.
[1] Note that the pentagram face has an ambiguous interior because it is self-intersecting.
The central pentagon region can be considered interior or exterior depending on how interior is defined.
One definition of interior is the set of points that have a ray that crosses the boundary an odd number of times to escape the perimeter.
In either case, it is best to show the pentagram boundary line to distinguish it from a concave decagon.