Mind on mathematics is a theoretical foundation, based on which real problems can be solved. Undoubtedly only with good model building, analyzing and calculating, can various optimizing problems be worked out. As high school students, due to our limited mathematical knowledge, the methods we take to solve problems are not very far beyond the textbook. So we focused on a problem close to daily life as well as one we can more or less solve on our own. Our inspiration came from the small lawn near our classroom in the junior school. Every time the spouts did the irrigation, there was a great amount of water spilled on the hallway, and even sometimes the water would went through the open windows into the classroom, which caused many inconveniences as well as much waste. In todays world where drinking water is badly in need, it is, with no doubt, very meaningful to maximally equalize the amount of water a certain area gets in order to decrease the amount of water wasted. Through the information we got, we found that there were three factors on which sprinkling irrigation mainly depends: intensity, equilibrium and diameter of water drops. We began to develop interests in the equilibrium factor and decided to make an optimized proposal by a series of mathematical methods. Thereupon this paper primarily focuses on the degree of homogeneity in the sprinkling irrigation.
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