Coccolith arrangement follows Eulerian mathematics in the coccolithophore Emiliania huxleyi
Background. The globally abundant coccolithophore, Emiliania huxleyi, plays an important ecological role in oceanic carbon biogeochemistry by forming a cellular covering of plate-like CaCO3 crystals (coccoliths) and fixing CO2. It is unknown how the cells arrange different sizes of coccoliths to maintain full coverage as the cell surface area changes due to growth and cell division. Methods. We used Euler’s polyhedron formula and simulation software CaGe, validated with the geometries of coccoliths, to analyses the coccolith topology of coccosphere and the arrange mechanism. Results. The cells arrange each of the coccoliths to interlock with 4–6 others to keep pace with cell growth and cell division. Conclusions. This study represents an example of how natural selection has arrived at a solution based on Euler’s polyhedral formula in response to the challenge of maintaining a CaCO3 covering on coccolithophore cells as cell size changes.