January 20
2023
Conics Project Desmos Self-Portrait
https://www.desmos.com/calculator/bakcdyocze
How I Made This:
| For my self portrait, I started with an elipse for the face. I put the elipse over the y=6, so I had a center line that I could use (with some math) to make a symmetrical self portrait. Why 6? because I didn’t like the thick 0 lines. Anyways, then I made the eyes. I used 2 parabolas for the eye shape, 2 circles for the iris and the pupil, and 1 more circle with a ton of restrictions for the glare on the eye. Next I made the nose, which is made out of 1 hyperbola, 4 circles, and a parabola. Since we need at least 1 hyperbola, I decided to make that the main part of the nose. Then I did the ears. The ears are 2 ellipses, nothing too complecated. Both ears have 2 earrings each which I added in later. You can only see the first pair of circles in the picture, but if you zoom in in the desmos graph, you can see a square paired with a line (what I usually wear). For some reason, I didn’t spend a lot of time on the mouth. The mouth is a parabola with the line thickness set at 8 instead of 2. I played around with some parabolas to create the hair. The darker part is 2 overlapping parabolas, except to the power of 100, not 2, so the area would be wide enough and a mostly square shape. The lighter lines are part of a sin wave. I didn’t want to make a bunch of x= somethings, so I made a really squished sin wave by multiplying the x in the equation by 40. After that, I made the body. The neck is another hyperbola, and the sweatshirt is made of parabolas and lines. When I was writing the equations for the sweatshirt, instead of y=, I used E= with E having a different subscript number each time. This helped simplify things when I used inequalities (<>) to fill in the area with colour. The only problem was that none of the restrictions could have y. The eyebrows I made next are a total of 4 parabolas, 2 circles, and 2 lines. I tried to get the the same width apart, but you might notice that the left is slightly higher than the right. This is because I couldn’t flip a parabola to a mirror image, I could only make it move left or right. Then there is the hat, mostly made of parabolas. Because I couldn’t figure out how to fill in the hat, I cheated a bit. I made a table with points on the graph. Then I made a polygon from that table. I was then able to drag the points wherever, and then fill in the area inbetween. Overall, the only thing I traced was the maple leaf and the outline of the hat. The End. |