I'm familiarizing myself with blockchain and cryptocurrencies.
I was wondering if from a technical perspective it would be possible that when a new coin gets mined, it would be possible that it receives random properties that are saved within the coin?
Theoretically you might be able to implement such a system. At least pseudo-randomness.
But there hasn't been any kind of such an project yet. Simply because there is no need for something like that.
I've had the idea to use blockchain and/or cryptocurrencies to create some kind of virtual card game, like might the gathering or Blizzards Heart Stone. Each coin/token would represent a card, and within each coin/token, additional information would be saved that will be generated when the coin is mined and can not be modified, which would represent the cards attributes.
The easiest (and most convinient) would be to create a dapp on ethereum.
You don't really need to create a new currency/blockchain. An simple application should fit all of your needs.
You can look at the source code of cryptokitties (
https://etherscan.io/address/0x06012c8cf97bead5deae237070f9587f8e7a266d#code). This might help you a bit.