The second picture shows the small rock that the little star fossil is embedded in.
Revised: At a KYANA fossil study session, I was shown a set of articles from the University of Kansas on crinoid stem classification. It had a series of shapes and names for them. One shape was a six pointed star labeled hexagonalis (hex - Greek for six and gonia - Greek for corner or angle). Since this shape has 7 corners, it could be called a heptagonalis (hepta - Greek for seven).
Also since there is a dot in the middle of the shape, you add a prefix to this word above so if the shape in the middle is a circle, cyclohexagonalis or cycloheptagonalis; if ellipse shape in middle then Ellipsahexagonalis or Ellipsoheptagonalis.
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