I know this is more of a mathematical question, but I guess that we all come across such questions every now and then, so maybe someone can help me on this permutation related question.
Here is a pattern generation method that I have been working on which generates 2D Grid of Letters like this
"bCombo" input is a flexible variable for Letter "B".
The Pattern logic is such that
"Pattern for D: Places 3 Consecutive D per selection"
"Pattern for C: Places 2 Consecutive C per selection"
"Pattern for B: Places {bCombo} Consecutive B selection"
"Pattern for A: Places 1 A per selection"
as highlighted in the image above.
As per studies so far if you have different objects in a total of “n” object the way to calculate the permutation is
object aCount = x
object bCount = y
object cCount = z
Then the Permutation looks like: n!/(x! * y! * z!)
the above mentioned permutation is already having a constraint of different objects.
Here are the constraints that I have thought of so far from the image above,
- The length of each row.
- The total no. of rows.
- for each length of row, it should place valid patterns for each letter selected. (The Current code does this)
Based on these questions so far, I have been trying to figure out the how to calculate the permutation.
I hope someone can give inputs on this that could help in progressing the exercise.
Thank you.
Here is the Actual Code so far that creates pattern : 015_GH_Math_2D Permutation.gh (10.5 KB)