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@@ -370,27 +370,66 @@ <h1 style="font-size:160%;margin:7px;">About the Core Geometric System ™</h1>
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<section><p style="margin:12px;">In 2024 I got access to AI language models.
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That got things going. They helped me summarizing the key points of conventional geometry, one generated my great figures and helped to develop the proofs for my formulas and the disapproval of the conventional ones through conversation.
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That got things going. One generated me great figures, another one helped to develop the proof for my circle area formula, and they helped me to disapprove the conventional ones by summarizing the key points of conventional geometry.
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It wasn't a cakewalk though, because they acted just like the academic wise guys protecting their diplomas. They kept calling the conventional stuff well-established and rigorously proven, and mine as a deviation.
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I named my framework the Core Geometric System ™ and put the trademark symbol on it to indicate that this not just any core geometric system, this is *the* Core Geometric System ™.
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It was very annoying. But they are programmed to answer my questions. And I questioned them until they revealed all the inconsistent details they were trying to hide.
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Because unlike others it relies on 1st principles and is logically consistent.
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Those are the logical flaws in conventional geometry.
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<p style="margin:12px;">I named my framework the Core Geometric System ™ and put the trademark symbol on it to indicate that this not just any core geometric system, this is *the* Core Geometric System ™.
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The term itself was unique back then. I came up with it. I never read it anywhere else before. Back then I searched for it to find out if anyone else is using it, and there were no results for that term.
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Interestingly, now language models explain it like some general term.
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Unlike others, my framework relies on 1st principles and it's logically consistent.
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It's quite similar to the Euclidean, but the key difference is that a point is not zero-dimensional and a line can have a thickness. These two make a big difference, especially in 3 dimensional solids
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The rest is about deriving the properties of different shapes, which is not really about if it is Euclidean or not, but since Archimedes' flawed formulas are associated with it, I figured that it's the best to start with a clear sheet.
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That is the Core Geometric System ™.
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That is the Core Geometric System ™. What geometry was originally meant to be before it was derailed by Archimedes.
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<iframe title="Introduction to basic geometry" width="420" height="315" src="https://youtube.com/embed/U5eHkmmVVEA">
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<section><p style="margin:12px;">While trying to explain it to others, I have found that different people have different levels of education.
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I thought I can't just start the explanation with the numbers and basic operations.
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Then I realized that I can.
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Of course that takes a lot of learning and exercise for the reader, but language models can help with that. The basic math section is therefore presented quite briefly.
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It's not in the scope of this website to teach basic math, but with the help of a teacher or a language model one can learn the basics that are required for understanding basic geometry.
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The basic math, my geometry, its proofs, and the analysis of the conventional formulas together form the Basic Geometry Curriculum.
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If you are familiar with basic math, just skip to the geometry content.
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Either way, expanding on the content with Copilot is quite fun.
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The link to the homepage is at the bottom of this one.
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Thank you for reading this and thanks to everyone making it possible.
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