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Simple answer; there are 216 (65,536) ways to make a 4×4 grid have its cells in one of two possible states. It's just a pictorial representation of a 16 bit binary number.
Complex answer; what do you mean by pattern? There are 4 rotational positions and 4 mirror planes which make patterns which are different in a fixed address space be the same topologically.
1000
0000
0000
1000 = 32766is just
0001
0000
0000
0001 = 4097flipped about the vertical mid plane or rotated 180°
ETA: Also, to a mathematician, this is the same question as was asked and answered a couple of days ago 🙂
gbj_tester
Im really struggling how to explain this in a google search.
How do I calculate how many variants I can make of a pattern in a 4x4 square. With a grid of 16 boxes how many patterns can I make with 2 colours.
Whats the term Im looking for, Variance?
If someone could toddler explain or at least provide the formula too that would really help me.