INVESTIGATION OF TWO BODIES WITH EQUAL POINT X-RAYS AT TWO SOURCES

We exhibit results that show when there is a possibility for a given body to have a shadow body with the same point X-rays from two sources. We discuss methods for finding the location of the aforementioned shadow body and implement techniques for constructing an approx- imation of one such shadow body. We show the local existence and convexity of the shadow body at certain points. Finally, we discuss an analytic method of constructing a shadow body and where further investigation of such a method could lead.