Your informant, kat, was probably thinking "solitary coral." There are two major divisions of corals, RUGOSA and TABULATA. Many, if not all, solitary corals are rugosids; but, not all rugosids are solitary.
I cannot detect a radiating pattern that would indicate that these are cross-sections of solitary corals. Maybe you can see better with some magnification. My best guess at this point is that these are mineral inclusions.