Posts
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Forces-First Rollercoaster Design
04-05-2025Try it out! Instead of designing the track and calculating the forces after, why not design the forces over time and have the computer calculate the track for you? It turns out to be a fairly interesting math problem which took me about a day of work to solve in 2D. I let it sit for about a year before I figured out a way of repurposing the solution to allow... Read more
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Reverse Engineering GPT-4o's Image Gen Process
03-27-2025OpenAI's 4o Image Generation capability launched two days ago on March 25th, 2025. The quality of the images it creates is the best among all contemporary models by a large margin. However, what is most interesting is the way it seems to generate the image: first it quickly creates a blurry version of the final image, then... Read more
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Math Practice Tools
11-11-2022The Math Practice Tools are a set of interactive applications designed to help students prepare for mathematics competitions, specifically the American Mathematics Competitions (AMC) and the American Invitational Mathematics Examination (AIME). Features Practice questions from past AMC and AIME competitions Adaptive difficulty based on user performance In... Read more