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Copy file name to clipboardExpand all lines: about.html
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"dateCreated": "2024-08-31",
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"datePublished": "2024-08-31",
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"dateModified": "2025-11-17",
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"dateModified": "2025-11-18",
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"description": "About the context of the Core Geometric System ™, the best-established and most accurate framework to calculate area and volume.",
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"disambiguatingDescription": "Introducing exact, empirically grounded and logically consistent formulas over the flawed conventional approximations.",
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"headline": "Introducing the Core Geometric System ™",
@@ -324,7 +324,7 @@ <h2 style="margin:12px;">Once around 2018 I was wondering how to calculate the a
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<section>
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<h2style="margin:12px;">
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Meanwhile I got curious about the properties of other shapes, and I figured that the volume of a sphere equals the cubed value of the square root of its cross-sectional area, just like a cube.</h2>
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<pstyle="margin:12px;">It's quite hard to physically measure the volume of a ball accurately, but there's a significant difference between the result of my V=(√(3.2)r)³ formula and the conventional "4 / 3 × π × r³".
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<pstyle="margin:12px;">It's quite hard to physically measure the volume of a ball accurately, but there's a significant difference between the result of my V = ( √( 3.2 )r )³ formula and the conventional "4 / 3 × π × r³".
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With the limited resources that I had, I conducted some experiments.
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The subject of the sphere experiment was a standard golf ball. That is not a perfect sphere because there are dimples on its surface. That can be compensated by calculating with a slightly shorter radius.
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The measuring bottle had a nominal volume of 4 cl (40 ml ~ 1.35 US ounce). That is not perfectly precise either because the nominal volume indicates the guaranteed amount of the fluid in it in commerce. They come with an air gap atop the fluid so the total capacity of the bottle is somewhat larger.
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The measuring bottle had a nominal volume of 4 cl (40 ml ~ 4 / 3 US ounce). That is not perfectly precise either because the nominal volume indicates the guaranteed amount of the fluid in it in commerce. They come with an air gap atop the fluid so the total capacity of the bottle is somewhat larger.
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The second sphere experiment was done with the same ball and a nominal 5 ml syringe. The nominal volume of a syringe should be its real volume. I have measured its length and width to make sure and I found that its real volume is about 10% larger. I took that into account in the calculations.
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The second sphere experiment was done with the same ball and a nominal 5 ml syringe. The nominal volume of a syringe should be its real volume. However, I have measured its length and width to make sure and I found that its real volume is about 10% larger. I took that into account in the calculations.
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</p>
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I could not provide the accuracy that the subject deserves, but the results aligned better with my V=(√(3.2)r)³ formula.
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I could not provide the accuracy that the subject deserves, but the results aligned better with my V = ( √( 3.2 )r )³ formula.
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</p>
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</section>
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<h2style="margin:12px;">In early 2020 there were news about that online education was introduced because of the pandemic. I thought it was time to share my discoveries online, so I went to the local public library to publish them on a webpage.</h2>
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<h2style="margin:12px;">In early 2020 there were news about that online education was introduced because of the pandemic.</h2>
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<pstyle="margin:12px;">I thought it was time to share my discoveries online, so I went to the local public library to publish them on a webpage. My volume formula for a cone and a pyramid was undeveloped and I didn't have much web development skills but I had to start somewhere. My attention was divided by lots of details in both geometry and IT.
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<pstyle="margin:12px;">My volume formula for a cone and a pyramid was undeveloped and I didn't have much web development skills but I had to start somewhere. My attention was divided by lots of details in both geometry and IT.
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<pstyle="margin:12px;">I received some negative criticism regarding my formulas. Those included the lack of rigorous proof, and the alleged rigorous proofs of the conventional formulas.
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I received some negative criticism regarding my formulas. Those included the lack of rigorous proof, and the alleged rigorous proofs of the conventional formulas.
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Obviously I wasn't happy about those, but I felt like there's not much I can do about that. I derived my formulas from first principles, what should I prove about those?
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