The infamous Goat Problem; my fruitless efforts…

The Goat Problem is a centuries-old geometry problem with no closed form solution. If you tie a goat to the boundary of a circular fence that bounds 1 acre of area, how long does the rope need to be to allow the goat to roam exactly half of this area? Back in December 2020, Quanta Magazine posted a story announcing that Ingo Ullisch, a German mathematician, had reached the first exact solution. The trouble with this solution, however, is that it can only be evaluated iteratively. This is due to...
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Collection of Desmos Graphs – Part 2

Just like last time, I'm going to share a few of my favorite recent graphs on Desmos. This is probably going to become a yearly thing - despite that the previous part was my first post ever, it remains the most popular. That's probably due to the fact that r/visualizedmath on Reddit won't let me post anymore to share my work. Anyway, on with the graphs... November 2019 MCC Puzzler Try it yourself: https://www.desmos.com/calculator/qsy5qk4sjv Last year, I took a couple math classes...
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Creation of MathGraph3D (Part 1 – Foundation)

This series focuses on the creation of the original version of my 3D plotting software MathGraph3D. This first part is concerned with the overall structural components of the software. Before getting into any actual algorithms or math, it’s necessary to set up an outline for how the code will be structured. I decided to create a manager class called “Plot” that would handle everything to do with 3D space and all objects in the calculator. There are five main operations that the Plot must be ...
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Building a 3D Boat in Desmos

The graphing calculator Desmos recently held a competition called the Global Math Art Contest. People aged 13-18 submitted artwork they created with the graphing calculator using combinations of math curves. The judging is based on creativity, originality, visual appeal, and the math used to create the art. As a person with little artistic talent, I had to rely on the use of math category to get my edge. So I decided to create a rotatable 3D boat that moves and tilts according to the waves in t...
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