For this project, I had to use conics and well as other function equations to make a portrait of my face on Desmos. When starting this assignment I was very overwhelmed and had no idea what to begin with but I found inserting a photo of my face as a reference helped me the best. The equation I used for the face was an ellipse, for the neck I used a hyperbola, for the eyes I decided that using parabolas would make it more realistic, for the pupil I used circles. The hardest feature was the nose and hair, the nose was difficult because even though I was following the photo I had, it still didn’t look right, I used a hyperbola as well as parabolas for the nose; at the end the nose doesn’t look too bad but it doesn’t look like my nose exactly. The hair was a PROCESS, for the eyebrows I used a radical function and a parabola for the arches; most of the tiny hairs are parabolas. I made sure to put the tiny details in, I would recommend to zoom in to see the added touches that I think make the project look good. The hardest part in this assignment was colouring/shading it in, throughout this whole project sliders were my best friend and is why I have very precise numbers on my graph. The shading isn’t perfect but isn’t horrible, my favorite feature on the face that I did was the eyes, even though the eyelashes took a long time I think it paid off since eyes look pretty realistic.

I believe this is an extending project since I figured out how to fill in and shade; as well as I learned how to make custom colours. With over one hundred equations and the countless hours trying to figure out the restrictions, it looks pretty accurate. I wouldn’t necessarily say it looks exactly like me but there are definitely parts that resemble my features. Overall I’m very proud of my results and the fact that it looks way better than imagined.