Conics Project:  Desmos Self-Portrait 

To begin this project, I start with a parabola on the lower half of my face. I reflected that parabola off the x axis and horizontally stretched it to fit my face shape. Finally, I added restrictions to make it fit. This procedure continues to the middle of my face, but with no reflection and a horizontal stretch instead. I made it tighter by using horizontal compression and then fitting restrictions. Finally, I applied an ellipse to the upper portion of my face. I modified the horizontal and vertical compression/expansion of the ellipse to perfectly fit the previously mentioned parabola. For my lips, I used two parabolas, one of which reflected off the x axis. I used a simple constant function ,”y = 2.4″ with restrictions to fit for the lip seal. My eyelids are next. I used two parabolas, but scaled them down. I copied the equation but added a reflection of the y axis for my left eye for symmetry. I used a circle function but scaled down the pupil for my pupil and iris. I used constraints to make my pupil fit the eyelids. I used two radical functions and one parabola function to create my eyebrow. To transfer the functions to my left side, I added reflections to the y axis on it. I used several functions on my hair. This includes parabolas, linear functions, and ellipses. This was done to match the various sections of my hair. It was the most aggravating part because I had to fiddle with the reflections and transitions to trace my hair. I used multiple functions on both my nose. To begin, I used a hyperbola on the nose bridge. The left and right major sections of the nose were formed next. I made use of the circle, ellipse, and sin functions. For my nostrils i used an inequality to add depth. Unlike my eyebrows or eyes, I couldn’t reflected it off the y axis to make it symmetrical and decreasing the workload. I had to start over, which was inconvenient. Shading and coloring completed the graph. The most difficult and time-consuming task. To fit and fill in with color, I used inequalities and restricted each function. The majority of the process was trial and error because some functions did not fill in due to their restrictions. This process necessitated the use of tutorial videos, but I was able to accomplish the task. To wrap up it off, I added some finishing touches such as a black outline for my face and black opaque hair. This project was difficult with all the tracing and fitting, but it was rewarding to see how functions can express one’s creativity.

print

Leave a Reply

Your email address will not be published. Required fields are marked *