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Four-dimensional space - Wikipedia
https://en.wikipedia.org/wiki/Four-dimensional_space
WEBFour-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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Four-Dimensional Geometry -- from Wolfram MathWorld
https://mathworld.wolfram.com/Four-DimensionalGeometry.html
WEB5 days ago · Four-dimensional geometry is Euclidean geometry extended into one additional dimension. The prefix "hyper-" is usually used to refer to the four- (and higher-) dimensional analogs of three-dimensional objects, e.g., hypercube , hyperplane, hypersphere . -dimensional polyhedra are called polytopes .
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Visualizing the Fourth Dimension - Research Blog
https://researchblog.duke.edu/2017/04/26/visualizing-the-fourth-dimension/
WEBApr 26, 2017 · What exactly is the 4th dimension? Let’s break down spatial dimensions into what we know. We can describe a point in 2-dimensional space with two numbers x and y, visualizing an object in the xy plane, and a point in 3D space with 3 numbers in the xyz coordinate system. Plotting three dimensions in the xyz coordinate system.
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Tesseract - Wikipedia
https://en.wikipedia.org/wiki/Tesseract
WEBThe Dalí cross, a net of a tesseract. The tesseract can be unfolded into eight cubes into 3D space, just as the cube can be unfolded into six squares into 2D space. In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two- dimensional square and a three-dimensional cube. [1]
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4th Dimension Models: Interactive Models of 4D Objects - Union …
https://www.math.union.edu/~dpvc/math/4D/models/welcome.html
WEBInteractive Models of 4D Objects. The following images link to interactive models of some of the four-dimensional objects we've studied. To use the interactive versions, your browser must support WebGL, and you must have JavaScript enabled in your browser. Check if your browser has these things enabled. On each othe linked pages there will be a ...
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Interactive 4D Handbook - 4D Spheres - Bailey Snyder
https://baileysnyder.com/interactive-4d/4d-spheres/
WEBGiven 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. This is analogous to the points of a circle in 2D space, and the points of a regular sphere in 3D space.
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Tesseract | Brilliant Math & Science Wiki
https://brilliant.org/wiki/tesseract/
WEBA tesseract is a four-dimensional closed figure with lines of equal length that meet each other at right angles. Since we've added another dimension, four lines meet at each vertex at right angles. Just as with a cube, each 2D face of the tesseract is a square. In fact, a tesseract has 3D "faces", each of which is a cube.
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Interactive 4D Handbook - Bailey Snyder
https://baileysnyder.com/interactive-4d/
WEBTo 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! Interact with 4D shapes and learn about 4D universes!
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Four Dimensional Maths: Things to See and Hear in the Fourth ... - YouTube
https://www.youtube.com/watch?v=1wAaI_6b9JE
WEBFour Dimensional Maths: Things to See and Hear in the Fourth Dimension - with Matt Parker - YouTube. 0:00 / 1:01:40. Matt Parker, comedian and mathematician, shows how four-dimensional...
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Regular 4-polytope - Wikipedia
https://en.wikipedia.org/wiki/Regular_4-polytope
WEBIn mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope. They are the four-dimensional analogues of the regular polyhedra in three dimensions and the regular polygons in two dimensions. There are six convex and ten star regular 4-polytopes, giving a total of sixteen. History [ edit]
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