Is Pi more than just a ratio for circles? Is there a easy way to understand the universality of Pi?
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After reading through the comments, I was reminded, “All the angels were imaginary. All the pins-heads were arbitrary. And still, the dancing and debating were infinite.”
After reading through the comments, I was reminded, “All the angels were imaginary. All the pins-heads were arbitrary. And still, the dancing and debating were infinite.”
A number of good answers, but also consider how much we do that involves waves, or anything with a periodic system. We use the math of a circle to work in them, so light, a spring oscillation, sound, etc.
A number of good answers, but also consider how much we do that involves waves, or anything with a periodic system. We use the math of a circle to work in them, so light, a spring oscillation, sound, etc.
Pi isn’t just a ratio for circles. Yes, there *is* a way to understand the universality of pi….
Pi is a fundamental constant of the universe. Pi has to be *exactly what it is* in order for the universe *as it is* to exist. If Pi is a different number, *the whole universe is different*.
Beyond ELI5 for the haters: There are those who will argue since we don’t *know* that Pi is rational or irrational then we don’t have an *exact* value for it. That is entirely immaterial. The universe behaves naturally, and that nature is the reason why we have the concept of Pi.
Pi isn’t just a ratio for circles. Yes, there *is* a way to understand the universality of pi….
Pi is a fundamental constant of the universe. Pi has to be *exactly what it is* in order for the universe *as it is* to exist. If Pi is a different number, *the whole universe is different*.
Beyond ELI5 for the haters: There are those who will argue since we don’t *know* that Pi is rational or irrational then we don’t have an *exact* value for it. That is entirely immaterial. The universe behaves naturally, and that nature is the reason why we have the concept of Pi.
The reason it shows up in weird and unexpected places like Euler’s identity (e^iπ + 1=0) is because of the complex number plane. Instead of numbers just going forward and backward on a number line, they can also go up and down and diagonal from the center point which makes it easy to create circles.
The reason it shows up in weird and unexpected places like Euler’s identity (e^iπ + 1=0) is because of the complex number plane. Instead of numbers just going forward and backward on a number line, they can also go up and down and diagonal from the center point which makes it easy to create circles.
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