For our redo assignment, I decided to go on and visit our most recent assignment, over Ambiguous objects. I felt that my print did not fully capture what I wanted from and really wanted to find one that was better. When coming up with my first one, I went through many different designs, so here I went back to the one that my gut told me would be better but I decided not to listen sadly.
The big change I made was to not construct my object with four different functions for each side. This just caused for confusion when trying to troubleshoot, as well as explaining since it depended on which side you looked at. Moreover, I wanted to drop the regular polygons all together. There are a couple of ways to make really interesting Ambiguous objects out of regular polygons, but that just was not what I wanted to focus on anymore. To me, it did not really go into the theme of objects appears to be different from different observers.
My Do Over:
First Perspective:
Second Perspective:
Overall Shape From Above:
This is my new Ambiguous object! It looks very different from last time, and looks so much interesting in my opinion! Here, both functions were giving the $x$ parameterizaion of just $\cos{x}$ as this gave us some nice curvature. The more interesting part is the $y$ coordinates from both directions! The first perspective was shown with the function: $f(x) = \cos{x} + .25*\sin{x}^2$. This function, from a local perspective, is very similar to the curve $x^2$ which is a bit easier to identify, they you can see this on the object with this almost only curved side!
Now, the part I really liked, was the function for the other perspective. It is given by the function $g(x) = -.5\cos{3*x}*\sin{x}$. On the side that the observer would see this function, it looks like a pair of glasses with these little loops! I thoroughly enjoyed this because the opposite side observer's perspective is nothing like this!
Overall, I am very happy with this object's shape and how it has turned out. I wished I had listened to my gut, but in the end it is better to try something than to never try at all!
The big change I made was to not construct my object with four different functions for each side. This just caused for confusion when trying to troubleshoot, as well as explaining since it depended on which side you looked at. Moreover, I wanted to drop the regular polygons all together. There are a couple of ways to make really interesting Ambiguous objects out of regular polygons, but that just was not what I wanted to focus on anymore. To me, it did not really go into the theme of objects appears to be different from different observers.
My Do Over:
First Perspective:
Second Perspective:
Overall Shape From Above:
This is my new Ambiguous object! It looks very different from last time, and looks so much interesting in my opinion! Here, both functions were giving the $x$ parameterizaion of just $\cos{x}$ as this gave us some nice curvature. The more interesting part is the $y$ coordinates from both directions! The first perspective was shown with the function: $f(x) = \cos{x} + .25*\sin{x}^2$. This function, from a local perspective, is very similar to the curve $x^2$ which is a bit easier to identify, they you can see this on the object with this almost only curved side!
Now, the part I really liked, was the function for the other perspective. It is given by the function $g(x) = -.5\cos{3*x}*\sin{x}$. On the side that the observer would see this function, it looks like a pair of glasses with these little loops! I thoroughly enjoyed this because the opposite side observer's perspective is nothing like this!
Overall, I am very happy with this object's shape and how it has turned out. I wished I had listened to my gut, but in the end it is better to try something than to never try at all!
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