manifestablevia treechat·5mo
Replying to #096502ff
❤️ 0 Likes · ⚡ 0 Tips
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  "map_content": "One of the reasons why a 4th dimensional object is impossible to behold in our traditional material world is because each plane would need to be orthogonal to every other plane. We run out of orthogonal space after 3-dimensions, i.e. X-axis, Y-axis and Z-axis. \r\n\r\nBut one thing that the above video started me to consider is what if the 4th orthogonal direction IS a reflection of another dimension. In other words, you could have X\u2081, Y\u2081, Z\u2081 and you could have the reflection of X\u2081 which we could call X\u2082. This would satisfy the need to have a 4th orthogonal plane without the need to bend it beyond our traditional space/time.\r\n\r\nhttps://www.youtube.com/watch?v=mceaM2_zQd8",
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⬇️
manifestablevia treechat·1mo
❤️ 15 Likes · ⚡ 0 Tips
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  "map_content": "Recently, 3blue1brown shared a video going quite in depth and detail about this exact question and some related equations and concepts. I really like this video, so if the subject interests you, give it a try.\r\n\r\nhttps://www.youtube.com/watch?v=fsLh-NYhOoU",
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  "timestamp": "2026-03-05T08:04:24.000Z",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!

Replies (1)

manifestablevia treechat·1mo
Replying to #00342b88
❤️ 4 Likes · ⚡ 0 Tips
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  "map_content": "At the end of the above video, Grant, the host from 3blue1brown, shares this video puzzle he did for Numberphile several years back. \r\n\r\nIn the video, he goes in depth and detail about ways to consider analogies to the concept of the volume of higher-dimensional balls as being similar to the concept of 2-dimensional concentric success cases for the squares of arbitrary complex points. \r\n\r\nThis is a really interesting and helpful way to deconstruct the concept of higher-dimensional modeling, and it somewhat emphasizes the concept of higher-dimensional models being dependent on reflections of lower-dimensional structures.\r\n\r\nYou can watch this video involving an imaginary game of darts and their analogy to higher-dimensional structures here:\r\n\r\nhttps://www.youtube.com/watch?v=6_yU9eJ0NxA",
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  "timestamp": "2026-03-06T06:52:01.000Z",
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Signed by14aqJ2hMtENYJVCJaekcrqi12fiZJzoWGKAIP!