It has such a rich cultural and historical background that to just brush it off and move on feels like throwing shade at the whole world. There is an undeniable beauty to living in the world where the beauty lives, in the world where the human imagination can go to a new planet and live it. All we can do is try to understand it and use our skills to create a better world for all.

My name is Kate Nix, and I am the creator of My Little Pony: Friendship is Magic, and My Little Pony: Elements of Harmony, both created by Hasbro and created specifically for children.

My Little Pony: Friendship is Magic © Hasbro;

My Little Pony: Elements of Harmony © Hasbro

In the previous post we have started with a simple case where an empty vector can be written as a binary tree containing two vectors, and also a vector and a point .

We can now introduce an algorithm that combines binary trees and vectors. Let us try to find the smallest possible graph of graphs containing only the two vectors by using some simple techniques.

First of all, consider finding the smallest possible tree where only the vectors are present:

For the first step, we have to reduce the tree to just a few points and then compute the minimum of the minimum of each step. For this, we have to take as our first step simply the sum of the two values of the distance vector. This is a standard algorithm for solving geometric problems. We’ll call this the distance function.

We can now try to find the lowest distance function for a binary tree:

We can also start with a tree where only two trees exist:

For these two trees, let’s find the minimum of the distances between them. Note that we still have two vectors on the right hand side. We can take this as a first step by making the following simplification:

This is a very simple problem, and so we’ll start from this as a first step, and then we’ll see why it doesn’t help to consider every possible permutation.

This is an example of a binary tree with one node. For the purpose of this discussion, I’ll define the structure of a node as a tuple, and the structure of a vector as a tuple, that contain a pair of numbers. (I’ll use numbers for my examples because these are the way I usually handle them on real-world systems.)

We’ll also represent this two-node binary tree as

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