Recent content by DeyuanGuo

Thanks for your reply. With the i = j + k and modulo 360 rule, all the 360*360 possibilities of initializing (j, k), from (0, 0) to (359, 359), has only 360 different patterns(I guess), and 4/5 of them are closed curves, while 1/5 of them are non-closed curves. These non-closed curves, or the...

Thanks, but I'm sure that the integers i, j, k do not overflow. The Python language supports the long integer type, and it can only overflow after the computer memory exhausted.

Thank you very much for your professional explanation. I found these patterns are interesting. For example, if it starts from (j=1, k=7), then it will not be a closed curve. I think there are a lot of things I can learn from you. Could you please contact with me through my email: guodeyuan at...

Thanks, I see. Though I called them monster or deer, they are just a kind of imagination. Perhaps the explanation is like this: Why: Ʃ(sin(F(i)/180*PI)) = 0 Ʃ(cos(F(i)/180*PI)) = 0 i = 0 to 119 F(i) is the ith number in Fibonacci sequence. I'm not able to prove these equations, I...

Well, thank you! That seems interesting, and I think I need more time to learn about the SVD. In my opinion, I can describe this procedure like this: Start from the origin of Cartesian coordinate system: x(0) = 0 y(0) = 0 Then go to next point by forward L length and θ angle: x(n) =...

haha, I don't think Pareidolia is a mathmatic interpretation, it's just one of the abilities of mathematician..

Hello guys. I'm a newcomer here, and I'm from Beijing, China. This rare creature, named Fibonacci Monster, was born from the Big Bang. I happened to capture it by running the following Python code. I like it. from turtle import * j, k = 1, 1 while True: i = j + k j, k = i, j...