DESMOS GRAPHING 3D HOW TO

$g_2$ is a hyperbolic cosine function divided by the square of the boat width. $g_1$ is a parabolic segment that is divided by the square of the boat length, so that it’s slightly curved upward but not too much. $g_1$ defines the shape of the boat along the front to back direction, $g_2$ defines the shape along the side to side direction, and $g_3$ is used to make the boat have curved (or “flared-out”) edges instead of straight sides.

I defined three functions $g_1$, $g_2$, and $g_3$. But I managed to put together a pretty decent boat that, honestly, turned out better than I expected. This was by far the hardest part because I’m not an artist and ruining the project with a poorly done boat would have been disappointing. It’s a bit hard to tell that it’s working until the big wave comes by and the boat dramatically tilts forward. Now, by multiplying the coordinates of each point on the boat by the corresponding vector in the new basis, the boat will tilt in both directions according to the shape of the water beneath it. Finally, these vectors are all normalized. $e_3$ is the cross product $e_1 imes e_2$. $e_2$ is the vector difference between $(0, -w, W(0, -w))$ and $(0, w, W(0, w))$ where $w$ is the width of the boat. Then $e_1$ is calculated by taking the vector difference between $(-l, 0, W(-l,0))$ and $(l, 0, W(l,0))$ where $l$ is the length of the boat. I used a Chrome extension called Tampermonkey to automatically execute my color adding script after the calculator loads.

DESMOS GRAPHING 3D HOW TO

After looking at the Desmos API documentation for a little bit I was able to figure out how to modify the available colors. As it turns out, Desmos defines an instance of the calculator called Calc that can be changed from the client side. I opened developer tools in Chrome to see how I could add additional colors. I wanted to use brown for the boat and light blue for the water beneath it. Finished project: “Modifying” the in-browser calculatorīy default, Desmos only supports 6 different colors and none of them are really optimal for a boat. Here I’ll explain how I went about doing this. So I decided to create a rotatable 3D boat that moves and tilts according to the waves in the water below it. As a person with little artistic talent, I had to rely on the use of math category to get my edge. The judging is based on creativity, originality, visual appeal, and the math used to create the art. People aged 13-18 submitted artwork they created with the graphing calculator using combinations of math curves. The graphing calculator Desmos recently held a competition called the Global Math Art Contest.

Desmos graphing 3d