![]() ![]() Please write in with any questions or feedback to Extend to 3D. If you want to dive deeper, check out our Spherical Coordinates article. Be sure to check out the 3D User Guide that can be found in the help menu in the calculator. We can't wait for you to dive into 3D with us. Challenge yourself to complete them all or send one to a friend to complete. Each quest is a challenge to complete through a series of goals and tips. You can choose a quest from the announcement in the expression list. QuestsĪnother way to get started is by trying a quest built into the 3D Calculator. Example graphs are one great place to start to learn about the power of Desmos 3D. ![]() The surface of revolution example graph can be used as a template to revolve an equation in terms of \(x\) around the \(x\)-axis. You can open any of the graphs and edit the equations to learn more. Here, you can get an idea of some of the curves and surfaces you can graph in Desmos 3D. Also, I wanted to challenge my math and music skills, so I put a lot of effort figuring out how to put the song together, making sure each note was as close to tune as possible, and I made sure the animation looked well with the song.The example graphs can be accessed by pressing on the hamburger menu in the top left of the screen and scrolling down past your saved graphs. Using The Flight of the Bumblebee song I can show that even a song which is fast and has so many notes, can still be made using the power of math. “My inspiration for choosing this topic was to show how math can be turned into a wonderful animation and a great song, so I decided to choose the Flight of the Bumblebee song along with an animation of a bee flying. Nathan uses the Desmos audio-trace feature, originally designed for vision-impaired and blind students, to create a masterpiece based on Rimsky-Korsakov's "Flight of the Bumblebee." It's a multi-sensory mathematical experience-buckle up! "Flying Bumblebee Song and Animation" by Nathan Leeįrom the judges: The judges decided to make a special category for this incredible graph. Incorporating my mathematical knowledge and Desmos' tools was quite difficult, but I learnt a lot of new tricks and equations along the way. “I was reading several fantasy books at that time, and that's when I got the idea to present something magical and enchanting. Subtle, animated hyperbolas seal the deal as one of the most original and beautiful graphs we encountered. She then brings it to life with a wide variety of equations and line styles. I used bubbles and sliders to create an illusion of motion in the water.”įrom the judges: Chloe's hand drawing on which this graph is based would have been impressive enough. “For my graph, I wanted to play with the graphing calculator's limited color palette, and I was able to create several different shades by layering with just two colors. Notice how the tentacles are created with pieces of many different arcsin functions, which is no small feat! The bubbles are particularly breathtaking, with their subtle animation and reflective glints. In the end, I created something that I am proud of and had fun learning in the process.”įrom the judges: Multiple judges noted how lovely the colors and textures are, with so much richness captured by just two colors. Experiment with values of 'a' and 'k' and observe the effect on the wave form. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. This graph was created with a lot of trial, error, and tons of patience. Explore math with our beautiful, free online graphing calculator. ![]() “Through this process, I learned how mathematics can be turned into a work of art. “Even though what initially captures your eye are all the brightly colored and strangely satisfying polygons making up the spots, the whimsy and expressions of the giraffes themselves come across in just a handful of key functions.” The judges were struck by the vivid coloring, originality, and personality that Kari was able to capture with just our 6-color palette. "Giraffe Spectrum" by Kari Yatsushiro Ages 13-14 įrom the judges: This graph is a stunning intersection of art and mathematics. ![]()
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