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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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  "map_content": "You need to watch the video described above to understand what he's talking about in this analysis, but what's interesting is that when you arrive at 4 dimensions, the space between the \"padding spheres\" becomes equal to the size of an additional padding sphere. This is because the when you take the square root of four orthogonal directions, aka, 1+1+1+1=4 and take its square root, you get 2, and then subtracting the original length of 1 from the original padding sphere, you get 1. If you think about this, that is a conceptual model for the argument in the above video that \"all motion is hyperplane reflection.\" And it could be argued that the new \"void space\" of the original sphere is just the same sphere itself but having \"moved\" its location via reflection.\r\n\r\nDoes that make sense? I'm not claiming this is true, I'm just saying there is an argument for that using this math.",
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  "map_content": "Neil's description is useful because it doesn't just go into what the object is, but how we could define it by what it's bounded by. This in part introduces the concept of something called Nets, and this video gives a detailed explanation about what \"nets\" are with respect to higher-dimensional objects, and shows some examples in both three dimensions as well as four dimensions for the concept of \"nets.\" https://www.youtube.com/watch?v=Yq3P-LhlcQo",
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  "map_content": "He shares a lot of powerful information about cycles of time and the platonic solids and ways that these overlap or intersect. \r\n\r\nThese \"platonic solids\" are also called regular polyhedrons meaning that all of their faces, vertexes and angles are identical. These shapes also appear in the 4th dimension, albeit, there is a unique difference in how they show up. In the 4th dimension, these are called \"Polychorons\" or polytopes. https://en.wikipedia.org/wiki/4-polytope",
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  "map_content": "The above video about Spheres in Higher Dimensions helps to illustrate this concept of hyperplane reflection representing \"motion.\" In the above video, math influencer, Matt Parker, author of a book of fun things to do in the 4th dimension, describes the Pythagorean Theorem generalizes to any number of dimensions. So regardless of which dimension you're in, add up all the orthogonal directions and take the square root of them, and that's the length of the new unit.",
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  "map_content": "I'll take a second to unwind from higher-dimensional modeling and instead turn attention to the third dimension. There are a lot of magical and wonderful things about this third dimension and they relate in ways to things we encounter in the 4th, so let's look at them for a second. One of my favorite lectures is this one by Randall Carlson talking about Sacred Numbers in both time and space. This is worth an entire watch: https://www.youtube.com/watch?v=R7oyZGW99os",
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  "map_content": "There are parallels between these higher dimensional structures and network topologies because the \"nets\" of these structures can be considered unique configurations of network nodes in terms of their connective pathways to each other in such a way as a \"closed system\" can form... They have high degrees of flexibility in terms of which nodes are connected to which while still retaining the ultimate integrity of the higher structure. This is described a bit in Matt Parker's video on \"unfolding the 4d cube.\"",
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  "map_content": "What's interesting about these is that in 4 dimensions, we actually get 6 of these unique structures. \r\n\r\nEach of these structures corresponds to an equivalent polyhedron in the dimension below it. For example, the most famous of these is the 8-Cell or Tesseract which is the 4d equivalent of the 3d cube.",
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  "map_content": "Buckminster Fuller's description of the vector equilibrium is something to really spend time on and consider. He makes bold claims. He says that this form, the V.E., represents the highest field for a form of unity. In other words, beyond this form, you cannot hold more in a single field, and instead you'd necessitate to divide. So you could imagine that this form represents the Zygote, the fertilized egg, which initiates the cellular division process of embryogenesis. \r\n\r\nhttps://www.youtube.com/watch?v=jcq_Hzo8PC8",
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  "map_content": "Buckminster Fuller is truly a brilliant and innovative thinker in terms of how to define and classify the experiences of the human condition. Here's a little bit of info on who Buckminster Fuller is and what his ideas attempt to explore.\r\n\r\nhttps://www.youtube.com/watch?v=81ov7eDy52c",
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  "map_content": "I was raised with a Christian upbringing in a Catholic household, and the wide-range of Ken's influences, from Christian mysticism to Anthony Robbins to countless others intrigued me. I tried for a long time to understand Ken's ideas but I never could fully grasp them. Instead, I listened to him because I thought he had brilliant guests. I could almost always relate much more to his guests than to him. I mostly tuned him out to be honest. \r\n\r\nhttps://www.youtube.com/watch?v=kB1hAIwFAus",
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  "map_content": "And the other one was named Jean Gebser. \r\n\r\nGebser wrote a book called The Ever Present Origin and in it, he argued that mankind has gone through several developmental leaps in its conscious-capacity both on the individual and on the cultural and social levels. He analogized these leaps in consciousness as being symbolically related to dimensional shifts in the complexity of spatial form. \r\n\r\nhttps://www.youtube.com/shorts/PKAQaxKffnw",
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  "map_content": "And the other one was named Jean Gebser. \r\n\r\nGebser wrote a book called The Ever Present Origin and in it, he argued that mankind has gone through several developmental leaps in its conscious-capacity both on the individual and on the cultural and social levels. He analogized these leaps in consciousness as being symbolically related to dimensional shifts in the complexity of spatial form. \r\n\r\nhttps://www.youtube.com/shorts/PKAQaxKffnw",
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  "map_content": "Truly dumbfounded by what I was learning on multiple fronts, my martial arts discipline, the Zen and Eastern undertones of kung fu as well as this leadership training which engendered new models for thinking, I found myself on a journey of voluntary silence for one year. During this year, I encountered many indescribeable elements to both myself and the world around me. When I started speaking again, I found very little capacity with my peers to relate with anything I was describing. Eventually, I found this relatability with an individual named Ken Wilber. Here he is in one of my favorite discussions describing the nature of the subject and the object.\r\n\r\nhttps://www.youtube.com/watch?v=NQ_HsQkBkJA",
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  "map_content": "I'll try to wrap this up in only a few more posts and I'll relate this all to bitcoin, but first I'll just share some of my own story. I started a martial arts discipline at age 18, and this profoundly altered my perspective on life. My teacher was a student of a program called Landmark Forum, and this program is an extension of the EST program that Erhard led. I became deeply involved in supporting individuals working through this leadership training as a volunteer. \r\n\r\nMy initial training was led by a dynamic and visionary influencer named Jeff Willmore. \r\nPic related.",
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  "map_content": "But then one day, I was on a long bus ride, and I read a full book by him called Integral Psychology. And this truly changed my entire life. When I arrived on the bus, it was like my hair was on fire. I had never read anyone who could articulate and speak to the things I'd experienced during my year of silence, but this book could. So I began to explore less about Ken's guests and more about his own models and ideas. \r\nEventually this led me to two Swiss Psychologists named Jean!... One was named Jean Piaget, https://www.youtube.com/watch?v=IhcgYgx7aAA",
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  "map_content": "I was raised with a Christian upbringing in a Catholic household, and the wide-range of Ken's influences, from Christian mysticism to Anthony Robbins to countless others intrigued me. I tried for a long time to understand Ken's ideas but I never could fully grasp them. Instead, I listened to him because I thought he had brilliant guests. I could almost always relate much more to his guests than to him. I mostly tuned him out to be honest. \r\n\r\nhttps://www.youtube.com/watch?v=kB1hAIwFAus",
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  "map_content": "He argued that Leonardo Da Vinci's use of the vanishing point in his frescos as being the \"origin\" of the third dimension within man's mental modeling, and only after this point do we see the emergence of things like rationality, the scientific method, western liberalism, separation of church and state, etc. He links these to the transformation from a two-dimensional model to a three-dimensional model of interpreting the world. He also points out that this model introduces the concept of \"dialectical opposites\" to our understanding. Prior to this shift, there was a polarity but the polarity implied in a way a uniformity of substance. For example, the yin yang represents both the light and the dark, but these are not opposed but instead are complimenting forces which help to carve out and define each other and on whom each other depend. With the introduction of the third-dimension, you have for the first time, according to Gebser, the concept of the dialectical opposites.",
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  "map_content": "Our ability to choose our future means the ability to invent a world of our making. Choice returns us to our deepest reverence. This is the key insight in the culmination of the Matrix. Agent Smith thinks he's finally defeated Neo, reprogramming Neo as a copy of himself, but this has the opposite of its intended effect. This reboots the matrix, undoing the mechanism of central controls and gives rise to the individuating power of agency and choice. \r\n\r\nThanks for tuning in! Let me know if you have any questions. Cheers!\r\n\r\nhttps://www.youtube.com/watch?v=C5JVFCouXIU",
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  "map_content": "Wanted to come back to this post to share a few additional pieces of content that I think are interesting to consider in this context. \r\n\r\nRecently, I noticed a paper which argued that rotations in physical space for dynamic systems can return to their origin by doubling the walk and uniformly scaling all rotation angles. I believe this is connected to the argument that all motion is vector reflection which I included in the sub comments of this original post. You can read this new paper here: \r\n\r\nWalks in Rotation Spaces Return Home when Doubled and Scaled\r\nhttps://arxiv.org/abs/2502.14367",
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