What are Euclidean Nodes?

Carbon-Neutral NFT on Ethereum

Euclidean Nodes is NFT’s on the Ethereum Blockchain. Each of the 512 design has a feature that makes them unique. Each node on the structure is randomly generated by the code and each node connected to the nearest one. Distances between each nodes are calculated by using Euclidean Distances Formula. That’s why every design is different from another.

Each Euclidean node is generated with the previous Euclidean Node hash as its seed value. This means, Euclidean Nodes visuals are generated using a chain of consecutive hash values.

Example of Euclidean Nodes Node: 25 Color Number: 5 Color Name: ['Violet' 'Blueberry' 'Frostbite' 'White' 'Lavender'] Seed: c2362297f3b7e49dee117687e449fc555a583d4fc6aa049ab3a741d9e9cc30a9

Technical Explanation

Euclidean Distance on three dimensional Euclidean Space

$$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}$$

The Euclidean Distance Formula is used to find the distance between two points in Euclidean Space.

Examples of Randomly Nodes on Two Dimensional Euclidean Space

The code generates a random number of node points (between 25-545) and these node points are placed randomly on the Euclidean Space.

Two Dimensional Euclidean Space

The code draws a certain ratio of diameter to each of the nodes point in the Euclidean Space. If another node point is inside this diameter, the shortest distance between these two points is calculated using the Euclidean Distance Formula (project name comes from here) and a straight line is drawn.

Examples on Two Dimensional Euclidean Space

Examples on Two Dimensional Euclidean Space