The Calculus of Clovers

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Summary

Here, we will discuss the calculus of the clover-leaf shape. Using double integration with polar coordinates, we find the areas of these shapes.  We use multivariable calculus-based methods to estimate the average height of water in a clover-shaped swimming pool. The methods we use are very generic that elucidate the calculus of clovers. Such studies have many real-world applications as the clover-leaf is a fundamental shape that manifests often in nature. Its shape is seen in leaves, flowers, tRNA, etc. T-RNA (transfer ribonucleic acid) is a type of RNA molecule that helps decode a messenger RNA (mRNA) sequence into a protein. Cloverleaf shapes are used in engineering design elements. The electronic d-orbitals have a three-dimensional cloverleaf shape. The Chandra observatory discovered exciting findings of clover-leaf quasars that provide evidence of large-scale star formation in the early universe. We have a  cloverleaf interchange at the 85th street at Kirkland.  The calculus of clovers thus has many applications in fundamental sciences, engineering, and transportation.