Fossils in thin section
Stromatolites and stromatoporoids in thin section
Stromatolites are layered microbial structures with no internal structure beyond their laminae. Stromatoporoids (possibly related to sponges) show a lattice of horizontal laminae and vertical pillars, which looks like a rectangular grid in sections parallel to growth.

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All fossil groups Carbonate classification
Sources
SEPM Strata: Skeletal Grains · Rygel & Quinton, Sedimentary Geology 9.7: Fossils in Thin Section