These two sections are indeed transverse sections of echinoderm origin (High-Magnesium Caclcite), most likely of crinoidal columnal plates (it also could be confused with transverse section of echinoid spines).
Sir, as i know there is adequate presence of septa, poly, desipiment and sinuptculie in calyx indicate coral but in this figure the showing features are not looking like this.
I have no doubt that it is a section of a echinoid spine. It does not show septa, tabulae or dissepiments. (I am specialist on corals, worked many years on carbonate microfacies and saw lots of thes echinoids spines.
This is an echinoderm plate, possibly an ecinoid spine. What is being shown is the complex internal ar hitecture -the stereome. The whole structure should go into extiction when viewed under crossed polarizers because each echinoderm plate is a single calcite crystal.
I've seen a lot of these forms in Cretaceous (Albian) carbonates from the Iberian peninsula, usually they are characterized by syntaxial calcite cement, suggesting the idea of an echinoid spine.
Surely, it's not a coral because there are no differentiated septa (with various grades) in it. From what I can tell, it's actually a transverse section of an echinoid spine. Reza Sadeghi Muhammad Rizwan