Desmath Art


Defending:  Self-Regulation

< Beijing’s Winter >


-what is it + why i decided to do this

this is a desmath artwork that I have created during the second semester of the 2019 school year. a desmath artwork is an artwork that was created using Desmos Graphing Calculator. in other words, demath art was created by different math equations. this artwork is one of the chosen projects in my math class. however, we have the chance to decide which picture we want to draw in this project. I chose to draw an alleyway in Beijing. 

On the day we began this desmath project, I was looking through my album, looking for pictures from my travels to draw, but they were either too complex or structurally unsuitable for desmos art. Finally, I opened my browser and typed “hutong” into the photo search. “Hutong” has appeared in my paintings many times. It is a sense of structure from the outside to the inside. 

When I flipped through the web, I caught my eye on this picture: in a snowy winter, two children are in an old Hutong in Beijing, dressed in cotton-padded clothes, held a branch in one hand and a bright orange light in the other. Of course, the most memorable is the red flag on the door frame of every household, fluttering freely in the narrow alleyway. all this makes me feel really familiar with, and I decide to draw this picture. 

-how did i do

This artwork is drawn through the Desmos drawing page. different lines segment is obtained by inputting different equations, and finally, the artwork is formed. The first step is to open the desmos drawing page, drag the picture that you want to draw into the page, and then you can draw along the lines above the picture. This work of mine begins by drawing the structure of a building. By depicting the vertical and horizontal line segments, I built a perspective of the alley, followed by painting the red flag, telegraph poles, and finally the two children in the center of the picture. I have modified and added the painting of the building many times, and finally simplified some overly complicated lines in the picture.

In the whole process of drawing desmath artwork, we had peer review once a week. Two people formed a group and gave feedback to each other. I got a lot of advice from it, which I have used to improve my work. 

-the knowledge i applied

I have applied the knowledge I learned in math class to finished this work, including three types of functions: linear function, conic equations, and trigonometric equations.



-what have i learned
-skills i have used and improved

In the desmath project, I had greatly improved my understanding of the equation. I began to don’t know the pattern of the trigonometric function, also do not know how to draw the ellipse, but as the progress is going, I figured out many drawing methods by myself. after this project,  I became more sensitive with different types of functions, which help me to better understand the contents we learned in class. The mathematical thinking of summarizing patterns has brought me a lot of help in this project. For some equations I am not familiar with, I can find their graphic transformation rules by first drawing their general form on DESMOS to support my creation. 

-skills i still have to improve

in this project, the most difficult part is to depict the folds of the characters’ clothes, and I often don’t know what kind of equation is more convenient to complete them.

Drawing double parabola has become a mathematical challenge for me in this project. I don’t know much about its cluster change mode. It always needs to be adjusted for a long time when it is used, and the ideal result hasn’t been achieved yet.

Desmath Artwork link:
Goal setting and revise version:
Documentation of my artwork: see next page : )