Every scryptal is mathematically unique

Unbelievable big numbers is what makes these new crypto technologies possible. There are a lot of Ethereum or Bitcoin addressess containings millions of dollars, the Binance ETH address contains today more than 2 billions of dollars. All this value is secured only by the nature of very very big numbers.
These kind of numbers are so hard, or even impossible, to our minds to be understood, sometimes it sounds unbelievable that just guessing the right sequence of 64 characters could give access to more than 2 billions of dollars, but in fact this is totally not possible without having many millions of years of free time.

I have always found these concepts very fashinating, in this era we are not only starting to understand and study this numbers, we have come to play with the infinite taking advantage from it and building disruptive technologies from it.

One thing that can help our minds to undertand this kind of numbers is using proportions. The last Oxford University esteem about the number of atoms in the universe tells us that there are around 10^82 atoms in the known universe, to make it clear here is the full number:

10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

The same esteem says that in the Solar System we have around 10^56 atoms.

Scryptals are generated starting from a DNA made of 50 hexadecimal characters and a number between 1 and 31. If we do some calculations we find out that the total possible scryptals are around 5 x 10^61

( 16 possible characters ) raised to ( the 50 total characters ) per ( 31 ) = 16^50 x 31 = 4.98 x 10^61

5 x 10^61 is a number much bigger than 10^56, we can therefore say that there are much more possible scryptals than the total atoms in the Solar System.

It sounds unbelievable, it sounds exagerated but it is not, everyday without realizing it we use even greater numbers, SHA256 is a very widely adopted encryption algorithm used literally everywere ( banks, websites, cryptocurrencies.. ) and its possible combinations are almost the same of the total number of atoms in the known universe, the screen you are reading from in this moment is capable of generating a number of possible pixels combinations that totally outclasses the total number of atoms in the universe, that number would be something like this 10^4'000'000, yes, a 1 with 4 milions of zeros..

We talked about the huge number of total possible scryptals, but when does a scryptal become real?

When you search for scryptals is like you are mining them, exploring the blockchain for that unique moment from which a scryptal arises. When you find one that is beautifull and meaningfull you can decide to

mint

it, when a scryptal is minted it will become permanent being forever part of the Scryptals collection.

The Scryptals collection is composed of all the minted scryptals and will have a maximum of 31'415 exemplary.

31'415 is a very very very tiny portion of the all 5 x 10^61 possible scryptals ( a molecule compared to the Solar System ) and, apart from the first 31 chosen by the author ( me! ), they will be selected by the people who will get involved in this project.

Because part of the Scryptals' DNA is derived from the current Ethereum block hash and because I had to place some constraints to prevent arbitrary scryptals generation you have 60 seconds to decide to mint or not the found scryptal, passed that 60 seconds that scryptal will be lost forever.

Mining Scryptals means exploring possible combinations to find the ones that are the most rare or simply the most meaningfull, when you decide to mint a scryptal you are transforming a possibility into a reality while actively contributing to compose the Scryptals collection.

When you mint a scryptal a random number between 1 and 31 and a portion of the block hash will be used to generate its DNA and saved on-chain becoming part of that scryptal forever, if in the same moment another user is trying to mint the same scryptal the first user that lauches the minting process will obtain the scryptal, the other one will be refunded.

When you own a scryptal you can name it if for free if not already named, that name will be permanently stored on-chain and showed as a caption on the scryptal, once saved it cannot be edited by anyone and anymore.

How can a scryptal be more rare than another if every one is unique?

Scryptals have evaluable traits and not evaluable traits, if we want to compare them to something real we can think of snowflakes, each one of this kind of crystal is unique in the universe, we can find two snowflakes with the same number of segments, the same size and the same color but for sure they will have something different in the texture or maybe a different crystallization scheme, while we can count segments or measure the size how can we measure or even classify endlsess textures possibilities?
The same happens with Scryptals, we have not evaluable traits like the texture, the shape or simply the color scheme and we have evaluable traits like the number of segments, the number of curved lines, the number of colors, if and how many lightnings they can emit and several other traits well listed in the scryptal's details panel.

Each evaluable traits has a specific probability to happen, the global rarity level of a single scryptal is based on these

traits

Scryptals are evolving On-chain NFTs,

every scryptal can be evolved

up to level 31, every level increases the chanche that each evaluable traits can appear on the evolving scryptal giving a potential of 31 variations for each NFT, this further increases the total number of possible scryptals.