actually if you take the expression (x+y)^n and expand for different values of n (the resulting coefficients are Pascal's Triangle) and then look at that mod 2 (color in the even numbers) you get Sierpinski's Triangle!
Ummm if I knew what the Binomial Theorem is then yea I would've but as of now no...maybe later in life I will learn it. Actually if it wasn't so late I would research it right now but...well school is tomorrow and my eyes are tired.
for anyone with some math under their belt...Haven't you noticed how the Sierpinski fractal has a speacial geometrical relationship to the Binomial Theorem when you consider non-integer cases...and how it clearly shows in a graphical way why any such binomial expression leads to an infinite amount of terms?...Anyone follow that...?
actually if you take the expression (x+y)^n and expand for different values of n (the resulting coefficients are Pascal's Triangle) and then look at that mod 2 (color in the even numbers) you get Sierpinski's Triangle!
snip0075 2 years ago
Ummm if I knew what the Binomial Theorem is then yea I would've but as of now no...maybe later in life I will learn it. Actually if it wasn't so late I would research it right now but...well school is tomorrow and my eyes are tired.
Alfaris 3 years ago
for anyone with some math under their belt...Haven't you noticed how the Sierpinski fractal has a speacial geometrical relationship to the Binomial Theorem when you consider non-integer cases...and how it clearly shows in a graphical way why any such binomial expression leads to an infinite amount of terms?...Anyone follow that...?
ContravariantTensor 3 years ago
that was fun to watch
hausenharry 4 years ago