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baileysnyder.com
https://baileysnyder.com/interactive-4d/4d-spheres…
Interactive 4D Handbook - 4D Spheres - Bailey Snyder
4D SPHERES Now our journey into the fourth dimension can truly begin. To gain a solid understanding of the fourth dimension, we require a solid understanding of simple 4D shapes. We begin with the 4D sphere. Given a generic radius of length R, a 4D sphere is the set of all points that are R distance away from a fixed center point in 4D space.
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wikipedia.org
https://en.wikipedia.org/wiki/Four-dimensional_spa…
Four-dimensional space - Wikipedia
Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.
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regmovies.com
https://www.regmovies.com/4dx
4DX Movie Theatres — Interactive Movie Experience | Regal
Watch the latest movies in 4DX and be transported into the world of the film. Book your tickets now for an immersive 4D movie experience.
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youtube.com
https://www.youtube.com/watch?v=4uL1tNIGZGQ
How to see a sphere in 4D
A deep dive into the volume calculation of spheres from 3D to 4D. Understanding the Gaussian integral and its connection to higher-dimensional volumes.
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diversedaily.com
https://diversedaily.com/visualizing-hyperspheres-…
Visualizing Hyperspheres: Understanding the Properties of a 4D Sphere
Explore the fascinating concept of hyperspheres and four-dimensional geometry, which challenge our traditional understanding of space. This comprehensive guide delves into the mathematical foundations of hyperspheres, their unique properties, visualization techniques, and applications in science and art. Learn how higher-dimensional shapes expand our knowledge of geometry and their ...
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maths.org
https://plus.maths.org/content/hypersphere-in-4D
The hypersphere in four dimensions | plus.maths.org
The image below is a description of a hypersphere, a shape which curves around in four-dimensional space in a way we can't directly visualise. So what is a hypersphere and what does the image mean?
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mit.edu
https://groups.csail.mit.edu/mac/users/rfrankel/fo…
The HyperSphere - Massachusetts Institute of Technology
The mathematical objects that live on the sphere in four dimensional space -- the hypersphere -- are both beautiful and interesting. The four dimensional sphere is a unique object, with properties both similar to and surprisingly different from those of our ordinary sphere. Similarly to the case in three dimensions, there is a family of Platonic and Archimedean solids that can be viewed on the ...
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explanaria.github.io
https://explanaria.github.io/thinking4D/index.html
Explanaria - How Mathematicians Think about Four Dimensions
2. Direct Sums! 3. Is a sphere a direct sum? 4. Coordinate Charts 4.5. 3-manifolds, or: how to visualize the unvisualizable 5. A 3-torus, or circle times circle times circle 6. So what is the fourth dimension? Bonus fun stuff: Why knots are useless in four dimensions Questions! 4D Shape Viewer: Play around with an interactive 4D hypercube in ...
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baileysnyder.com
https://baileysnyder.com/interactive-4d/
INTERACTIVE 4D HANDBOOK - Bailey Snyder
To achieve this, we'll first brush up on simple 2D and 3D space, then using that knowledge we'll observe the most fundamental 4D shapes. To begin, try interacting with these six 4D objects below. Once you’re sufficiently mesmorized, tap the Next button to learn how these objects work!
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stackexchange.com
https://math.stackexchange.com/questions/2306425/d…
Description of a 4th dimensional sphere - Mathematics Stack Exchange
I have been wondering what a 4th dimensional "sphere" is like, because I already know what a tesseract looks like, and I am wondering if there is a description of a 4th dimensional "sphere".