# Fermat's theorem question.

Gringo22
Edit in new post. Or Bumping with the edited change.

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## Answers and Replies

Gringo22
If I postulate there is 1 dynamic vertex in A2+B2=C2.

What would this look like mathematically, and what would this prove ?

I'm thinking the vertex explains a curl. AND if it's dynamic it explains why Fermat thought it explained exerything. Because no two curlings on this dynamic vertex are the same. For proof, you can't make a fist and have it be the same shape as it was the first time. Each time the curl of the fist is new. So if you kept making fists you would run into infinity with a new shape every time, thus proving that very point.

Homework Helper
I have absolutely no idea what this means. I assume that you mean A2+ B2= C2 but I don't know what you mean by a "dynamic vertex" or how anything called a "vertex" or that is "dynamic" could be in an equation.

Do you even know what Fermat's (last) theorem says? It has nothing to do with A2+ B2= C2.

Gringo22
HallsofIvy said:
I have absolutely no idea what this means. I assume that you mean A2+ B2= C2 but I don't know what you mean by a "dynamic vertex" or how anything called a "vertex" or that is "dynamic" could be in an equation.

Do you even know what Fermat's (last) theorem says? It has nothing to do with A2+ B2= C2.

Ah. My ignorance is showing through. I'll repeat my question.

In the Triangle A2+ B2= C2
What if one of the 3 angles is a dynamic vertex, joining two lines on the triangle.

Every time these three points are created, they are different.

This is to show a philosophical concept "Monkey see Monkey do."
The Monkey tries to plug the sea by sticking in his finger. :tongue:

Homework Helper
and no one is any the wiser as to what a dynamic vertex is....

Homework Helper
Every vertex joins two lines on a triangle. What is a "dynamic vertex"?

Gringo22
matt grime said:
and no one is any the wiser as to what a dynamic vertex is....

Ah, I see ! I'm sorry.

A dynamic vertex is a vertex that bends to form the curl/angle of the two lines joined to it. This shape shows me that when two similiar shapes in real life curl/angle at a vertex they are different. So It dawned on me that this is because the vertex joining the two lines is dynamic.

That's why there's diversity. When similiar shapes bend at the vertex, they bend slightly different.
The various diversities are what I'm thinking about now. 