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These magical numbers and shapes are not just abstract concepts; they have a direct impact on our understanding of the world around us. They can be used to model and understand complex systems, from the behavior of subatomic particles to the patterns of weather and climate. They represent a deep and profound connection to the universe, a reminder that we are all part of a larger whole, and that everything in the world is connected and interdependent.

In the context of the universe, knots can be seen as a metaphor for the interconnectedness of all things, representing the complex web of relationships that bind the cosmos together.

Pi, the ratio of a circle's circumference to its diameter, is a mathematical constant that appears everywhere in the natural world, from the spirals of galaxies to the patterns of tree branches. It represents the harmony and balance that underlies the structure of the universe.

The golden ratio, also known as phi, is a number that describes the proportion of elements in a system that is most aesthetically pleasing to the human eye. It is found in the patterns of leaves on a stem, the arrangement of seeds in a flower, and even the shape of the human body. It represents the beauty and harmony that can be found in the natural world.