Can the graph (| x | ^ n) + (| y | ^ n) = 1 be applied in real life situations?

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The graph defined by the equation (|x|^n) + (|y|^n) = 1 has potential applications in various fields, such as physics and engineering, particularly in modeling phenomena that exhibit symmetry. The area within the graph varies based on the value of n, which can be useful for calculating properties in real-world scenarios. Creative applications of this mathematical concept can lead to innovative solutions in material science and design. The discussion emphasizes the importance of mathematics as a foundational language for understanding and solving practical problems. Exploring these applications can yield valuable insights across multiple disciplines.
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Help me please!

I explore the graph (| x | ^ n) + (| y | ^ n) = 1.

I am interested in whether there investigation of such a graph, and if so in what areas? I am also interested in how to use the information I received (I have found how the area inside the graph depending on n) to solve some of the real life situations or problems.

Thank you very much!
 
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You can always be creative in mathematics and come up with your own ideas when it comes to application. Mathematics is the basic language of all materialism, so the applications can be endless.
 
gikiian said:
You can always be creative in mathematics and come up with your own ideas when it comes to application. Mathematics is the basic language of all materialism, so the applications can be endless.
I would be infinitely thankful if you would come up with one for me)
 

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