A recent facebook post on tulips revealed some interesting information. (Read the comments)
There are eight base colours. Each can be mixed with the others at eight gradients. Maths. Stuff. Number. Coffee! Stat!.. - milla
So how many possible tulip colors are there?
This is fairly simple to work out.
Take one color, say blue. If there are 8 base colors, then there are 7 different colors that it can be mixed with, and since each color can be mixed with 8 different ways, there are 56 (that is, 7*8) possible color combinations when mixed. Add one for the “pure” color, and there are 57 possible combinations for each base color.
This results in a total of 57*8 = 456 variations. That’s a lot of possible colors!
It is somewhat unclear if this means there are 456 possible “solid” colors, or 456 total. If there are 456 “solid” colors, then there are WAY more colors. Since the “order” matters (base vs tip) this is a simple permutation equation. P(456, 2) = 207480 possible tulip variations.
To help you put that number into perspective, if you planted a different color tulip on each block (column) in a 16x world, you would cover ~79% of the world before you finished.