In my conics Project I demonstrated my knowledges in the course by using various shapes and functions that we’ve learned previously to my advantage, such as radical functions, (in the eyebrows) circles, (which I cut into quarters at the top of the hair) ellipsis, (used in the eyebrows) sin waves, (which I used for the hair, nose, and lips) inverted hyperbole, (as the bridge of the nose) polynomial function to the degree of 4 (for the bottom of the goatee) and many more. I added color to the iris’s and the lips for a pop of color. I also used restrictions in almost every single function. In total I used exactly 55 individual graphs to achieve what you see above. As for the choice of a sin wave for the hair, I thought it would encapsulate a more realistic depiction of myself rather than how a broken-up, segmented, and blocky design would of. Instead of keeping everything perfectly symmetrical, I opted to keep some things off balance in a sense (such as the eyes, eyebrows, and hair) in order to make things seem a bit more realistic and look more human if you will.
A way that I excelled in this project is by discovering the use of replacing x with (x cos(c)-y sin(c)) and y with (x sin(c)+y cos(c)) where c is any integer. The usefulness of this method is that it allows you to rotate any function around point (0, 0) by changing the value of c. This allowed me to do some interesting things, such as rotating the ellipsis in the corner of the eyes which makes it look more realistic. I ended up using this trick in lots of places to get that perfect angle.