by CM National Inc.

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I remember when I was a teenager and realized that plants are alive. Of course my parents told me that before, but it wasn’t real to me. It was just secondhand information, not from real life experience. One evening I was in a big pasture, a field full of clovers, the moon was full, and the night was clear.  All the clovers were shining in the moonlight, but every single one was bent over and each with its petals closed. Surprisingly I realized that the clovers were sleeping. I couldn’t believe it, it was incredible. I was so excited to experience that happening. Since then, I have a fondness for nature, and I can identify myself with nature itself. Also I saw nature as a being. But most people I know don't feel the same way for nature. 

Why is so difficult for others to identify themselves with nature? Aren’t we all part of Earth’s life forms? Maybe it is because it's easier to identify themselves as part of other groups as humanity (more general), or as Americans (nationalities), or as colleagues (professions), or as friends (hobbies), or as family (last names), or as themselves (names).  

The weird thing is that we refer to all of these groups as beings, and also we carry those beingnesses ourselves. But most of the time nature isn’t part of those beingnesses. But we are brothers from another species with all life forms on this planet. 

How can we make people identify with nature? Nature now has so many crisis that it most overcome. These are so overwhelming that we disconnect with from them. 



Lets divide the problem and only address one part.



Ok let’s do something about it with trees.



Addressing a problem 

How we can get people to care more and get people to identify themselves with trees/nature? 

Defining constraints 

  • Indirect interaction (in cities its more difficult to interact with nature) 
  • Gamification of the experience 
  • Plant trees in the process 
  • Math geek stuff involved 

Key insights 

People can’t interact with nature in cities, but they interact within the internet all the time, for everything.

MVP (Minimum Viable Product)

Make an algorithm (inspired by how trees grow with cool mathematics) to create digital art pieces of trees. Distribute it as NFTs all over the internet and plant a tree each time people trade it.

Math Discussion 

The first classical Pythagorean trees model is a simple model of a 2D representation of trees. It is limited. 

How can we improve the model? 

The splitting rules need to evolve. There are two ways for this: jump to 3D representations- but this implies making a generalization of Pythagoras in 3D, something like a "Pythagoras’s tetrahedron", instead of a triangle. But this is complicated for the MVP.  So lets just keep it 2D.

Again, there are two ways to do the equation, as follows: 

1. 𝐶𝑎𝑠𝑒 𝐴: 𝑥𝑎+𝑦𝑎≅𝑧𝑎, 𝑤ℎ𝑒𝑛 𝑎 ≠2

Here the interesting part, when "a" is different from "2" that changes the 90° angle of the triangle. The bigger the “a” parameter, the lower the angle, as you can see in this little script in JS [Link to code] 

But what is the essence of Pythagoras’s Theorem?  It represents all triangles that fit in a circle, when the base is equal to the circle’s diameter. Like the this image  

pythagorean triangle

2. 𝐶𝑎𝑠𝑒 𝐵: 𝐴𝑥𝑎+𝐵𝑦𝑏+𝐶𝑧𝑐=𝐷ℎ𝑑, this equation 𝑑𝑒𝑠𝑐𝑟𝑖𝑏𝑒𝑠 𝑝𝑜𝑙𝑦𝑔𝑜𝑛𝑠 𝑤𝑖𝑡ℎ 𝑓𝑜𝑢𝑟 𝑡𝑒𝑟𝑚𝑠


Begin with: x2(power2) + y(power of 2) = z (power 2)

Then, x(power2) + (b +d)(power2) = z(power2)

Finally, x^2 + (c^2 + a^2-2h^2)^2, when h <z/2 . This describes our Pythagoras’s Polygons. It's not elegant, but it works for algorithms. I’m still working on a pure equation, with just 4 terms 😊 

MII (Maximum Inviable Idea) 

Make better virtual tree replicas, improve the algorithm to make it more interactable (with Tamagotchi logic). Using the ERC 983 token each tree can handle resources like sunlight and water, grow fruits as a reward and generate a closed economy with the purpose of planting more real trees. And making people identify themselves with trees and nature. Also take this game and put it on Decentraland.