On a 3x3x3 cube, there are 6 faces, 8 corners and 12 edges. This gives us finite number of permutations or possible arrangements equal to 519,024,039,293,878,272,000. But due to fixed center pieces, corner and edge arrangements; only 43,252,003,274,489,856,000 arrangements can be achieved on a solvable/legal cube. Each of these arrangements will represent an NFT.
Users can create a random arrangement, upload it and if its a unique yet valid image, they can mint an NFT with image hash as metadata.
Because there are ONLY 43,252,003,274,489,856,000 of them, users can buy and sell existing cube arrangements.
Consider the following image of an unfolded cube.
There are 54 total positions on a 3x3x3 cube, these are all assigned ascending numbers in a 'row first' manner starting from top left of front face. Faces are ordered as front, top, bottom, left, right and back.
For example the top left piece of front is 1 and second piece is 2. Similarly top left piece of top face is 10 then 11 and onwards.
On a 3x3x3 cube, six different colors are used for six faces. Each color is assigned a unique prime number in range of 53 to 5407.
prime number choice is purely arbitrary
example weightages can be:
| Color | weightage |
|---|---|
| Red | 73 |
| Green | 79 |
| Blue | 83 |
| White | 89 |
| Yellow | 97 |
| Orange | 101 |
Colors weightage is multiplied to its position number and resulting numbers are added up to generate a uint.
Eventually this number is passed to (hash160 uint) which generates a unique hash value for combination.
Above image hash calculation should look something like this.
(hash160 (+ (* 73 1) (* 101 2) (* 79 3) ...))Before minting a token for a cube arrangement, we need to make sure that its a legal / solvable cube. This is a TODO...
- Market
- Listings
- Sale / Purchase
- Collections
- test cases
- Upgradability
- Bidding
- Web work
- Legal cube?