A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode

[Rodney]

It's all 'math' to me...

 

 

My question as it relates to 3D modeling is:  How does this contribute to continuity of adacent (relatively) planar surfaces?

There is another element of this video suggests 0-0=0.

But is this more 'pulling rabbit from hat'* in considering that an x - y = z where none of the variables are (invariably) equal?

How equal are they and when are they equal?

 

*To use a phrase from the video.

 

This underlying schemes concerns polygons.  Useful for math but historically an obstacle for splines and patches.

Terms to consider regarding continuity:  Triagons, non intersecting diagonals

 

Potentially useful:  The Hexagon is a useful construct in that it can be divided into quadrilaterals.

 

Going deeper down the rabbit hole: 

 

In the second video we are introduced to the idea of a null subdigon which is the equivalent of a two point line.

This is also referred to as the 'roof' of the shape under consideration.