• Fourth dimension: Fractals, 4D, and higher dimensionality

  • 2024/11/27
  • 再生時間： 26 分
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Fourth dimension: Fractals, 4D, and higher dimensionality

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  • Little ditty about 4-D... What is 4D? What are higher dimensions and how many could there be? Hypercube tesseract Sphere packing (kissing number) Geometric spatial dimensions (string theory) vs temporal Minkowski spacetime (time as the 4th dimension) Fractal dimensions (Coastline Paradox) Knots in 2D/3D/4D Brane worlds (aka brane cosmology/membrane theory) and gravity leakage (wormholes and black holes) Life in higher dimensions This podcast is Al-generated with NotebookLM, using the following sources, research, and analysis: A Mathematician’s Guided Tour Through High Dimensions (Quanta Magazine, 2021.09.13) Four-dimensional space (Wikipedia, 2024.11.21) Four-dimensionalism (Wikipedia, 2024.11.21) Fractal (Wikipedia, 2024.11.21) Fractal dimension (Wikipedia, 2024.11.21) Higher Dimensions in physics and mathematics (UT Austin) Large extra dimensions (Wikipedia, 20224.11.21) Minkowski space (Wikipedia, 2024.11.21) Spacetime (Wikipedia, 2024.11.21) The Fractal Geometry of Invention (Durham, 2012.04.18) The things you'll find in higher dimensions (YouTube, Zach Star, 2019.06.07) Toward a Visualization of the Fourth Dimension (Michielli, 2022.09.25) Not investment advice; do your own due diligence! # physics mathematics geometry science astrology astrophysics
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Little ditty about 4-D... What is 4D? What are higher dimensions and how many could there be? Hypercube tesseract Sphere packing (kissing number) Geometric spatial dimensions (string theory) vs temporal Minkowski spacetime (time as the 4th dimension) Fractal dimensions (Coastline Paradox) Knots in 2D/3D/4D Brane worlds (aka brane cosmology/membrane theory) and gravity leakage (wormholes and black holes) Life in higher dimensions This podcast is Al-generated with NotebookLM, using the following sources, research, and analysis: A Mathematician’s Guided Tour Through High Dimensions (Quanta Magazine, 2021.09.13) Four-dimensional space (Wikipedia, 2024.11.21) Four-dimensionalism (Wikipedia, 2024.11.21) Fractal (Wikipedia, 2024.11.21) Fractal dimension (Wikipedia, 2024.11.21) Higher Dimensions in physics and mathematics (UT Austin) Large extra dimensions (Wikipedia, 20224.11.21) Minkowski space (Wikipedia, 2024.11.21) Spacetime (Wikipedia, 2024.11.21) The Fractal Geometry of Invention (Durham, 2012.04.18) The things you'll find in higher dimensions (YouTube, Zach Star, 2019.06.07) Toward a Visualization of the Fourth Dimension (Michielli, 2022.09.25) Not investment advice; do your own due diligence! # physics mathematics geometry science astrology astrophysics
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