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What phenomena explain the statement that mathematics is the prototype of beauty in this world?
A hundred flowers blossom and butterflies fly, which is beautiful. Careful observation shows that the formation of flowers and butterfly wings has strict modeling rules: their patterns and lines are symmetrical and harmonious, and the shades of colors are very soft. Mathematicians are often surprised by the accuracy of their geometric modeling. The crystallization of ice and snow, the bending of rainbow, the vein of leaves, the hexagonal structure of honeycomb, and even the limbs of human body all have the law of precise geometric modeling. Modern physicists have found that the operation of celestial bodies, the structure of atoms and even many mathematical and physical formulas are very harmonious, orderly and concise. No wonder the German astronomer Kepler said, "Mathematics is the prototype of the beauty of this world." All these formal laws are not created by human beings according to their own wishes, but by ingenious nature, but they are beautiful.