What Makes a Vertex Dynamic in Shape Diversity?

[Gringo22]

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

 

[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.

 

[HallsofIvy]

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]

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.

 

[matt grime]

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

 

[HallsofIvy]

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

 

[Gringo22]

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 similar 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 similar shapes bend at the vertex, they bend slightly different.
The various diversities are what I'm thinking about now.