Nice video. Thanks for sharing. you did an exceptional job of highlighting the squares as opposed to the rectangle which is the shape it takes when added to the one prior to it. On the rectangle generation, is the initial the only true square (all equal sides) when combined with the prior, and is this because the initial sequence is is 0,1,1? Why is the circulation counter-clockwise (to left) instead of the right? I really like what you did with the circles and I never saw anyone do that before. I hope I can find some more information on that aspect in particular.
Thanks for the feedback! To answer your questions: I guess I just tend to design counter clockwise, but this can be built in any direction. And yes, I built out the rectangle using the fibonacci sequence-the 1,1 representing the first 2 squares. Alternatively, you could build it out using phi (ϕ), but for me, that is more difficult. If you used phi, you would not have the two squares next to one another in the beginning. This is the major difference between the fibonacci sequence and golden ratio.
@@ThressaWillett Excellent. You should be a geometry professor! And from what I can tell, the spiral seems to expand in every direction but that first step (the direction you expand the first square) seems to impact the overall direction progression. I did not really realize that until I watched your video multiple times. There are many other things that are excellent about your post, but this was the most striking aspect to me.
Nice video. Thanks for sharing. you did an exceptional job of highlighting the squares as opposed to the rectangle which is the shape it takes when added to the one prior to it. On the rectangle generation, is the initial the only true square (all equal sides) when combined with the prior, and is this because the initial sequence is is 0,1,1? Why is the circulation counter-clockwise (to left) instead of the right? I really like what you did with the circles and I never saw anyone do that before. I hope I can find some more information on that aspect in particular.
Thanks for the feedback! To answer your questions: I guess I just tend to design counter clockwise, but this can be built in any direction. And yes, I built out the rectangle using the fibonacci sequence-the 1,1 representing the first 2 squares. Alternatively, you could build it out using phi (ϕ), but for me, that is more difficult. If you used phi, you would not have the two squares next to one another in the beginning. This is the major difference between the fibonacci sequence and golden ratio.
@@ThressaWillett Excellent. You should be a geometry professor! And from what I can tell, the spiral seems to expand in every direction but that first step (the direction you expand the first square) seems to impact the overall direction progression. I did not really realize that until I watched your video multiple times. There are many other things that are excellent about your post, but this was the most striking aspect to me.
Aww, thank you!