You feel yourself grow as you find the answers. Exploring it, especially without the limits of a structured course, gives rise to meaningful questions. Agius enjoyed this project, and enjoys mathematics in general because of how someone can grow as they explore new concepts. Each individual aspect of his art piece is derived from a specific math equation or set of values he designated in the calculator. In total, he spent somewhere between 15 and 20 hours on his creation. On a purely artistic note, I used an off-black background to accentuate the darkness of the black hole and made stars of several different sizes,” said Agius. I put a lot of thought into scientific accuracy. “Our knowledge of black holes is essentially the culmination of applied mathematics, so it seemed a natural subject for the competition. He put significant thought into the subject for his entry and wanted to ensure that it all connected back to mathematics. He created a starry night sky for the background of his piece and enhanced the black hole with colorful disks. Agius was named one of a few finalists in his category, and the only finalist across all age groups from Missouri.Īgius’ art piece was titled “Blackhole”. Ten-thousand students from all over the world participated in the contest, guaranteeing strong competition between entries. Agius participated in a group for 15 and 16 year olds. The contest was open to four different age groups, starting with students as young as 13. The contest consisted of very little instruction students were merely told to use the Desmos graphing calculator to design a piece of online art. So, I saw when the contest opened pretty quickly,” said Agius. “I use Desmos regularly, animating concepts to test my understanding or just doodling. Agius frequently uses the Desmos calculator outside of his math classes at school, and so he found the contest through the website itself. He entered and ended up a finalist in his age group out of thousands of entries.Īs the competition kicked off, Desmos advertised it on their website to spur participation. He noticed a competition: the Second Annual Desmos Global Art Contest. This would mean videos can be played in a graphing utility like desmos.Several months ago, Republic High School sophomore Nathan Agius visited the website of a free online graphing calculator called Desmos. Also, attempts can be made to represent entire videos as mathematical equations. Attempts can also be made to animate the curves. In the future, I can learn to incorporate more complex curves like quartic and arc bezier curves. In addition to this, I also managed to explore new libraries in Python and improve my programming skills. ![]() Through this I gained a deeper understanding of calculus, finding some real-life applications of it instead of simply learning from a textbook. I had almost no idea how to fix things and had to resort to manually computing some of the curves in order to test the program. I had several first attempts where the graphs looked like this. I am personally proud of the fact that I didn't give up on problems I encountered. The mathematical aspect was made simpler by revisiting an old calculus textbook. I overcame the SVG file formatting problems by using regular expressions instead of XML parsing libraries to extract the paths. In addition, the conversion of the bezier curves posed a challenge due to the mathematical complexity of converting bezier points to parametric equations. The varying formats used made it quite difficult to make the project work for all SVG file formats. One of the main challenges I ran into was understanding the math and the formatting of an SVG file. In addition, Wikipedia and my math textbook were used to understand the math behind the bezier curves. Documentation for SVG files was consulted. ![]() The app was built using Python and desmos. For this reason, SVG files are very compact and often used in 2D website design. Unlike other methods of encoding images, like PNG and JPEG, SVG files encode the image using mathematical equations. This program takes advantage of a file format called SVG (Scalable Vector Graphics). These are then graphed on demos using its API. This program converts an image into a set of graphable equations. As someone who also liked playing around with mathematical equations on desmos, a graphing tool, I wanted to make use of this unique file format to display images on desmos using equations. These equations would then be graphed by a computer. Unlike other file formats, SVG files use mathematical equations to store an image instead. When learning about SVG file formats for an Android development class, mobile apps commonly use this format, I came to realize that SVG files held a unique property.
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