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Glome - Hi.gher. Space
The glome, also known as the 3-sphere, is the 4-dimensional equivalent of a 3D sphere. It consists of a curved 3-manifold that forms circular intersections with planes, and spherical …
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Discussion of known convex regular-faced polytopes, including the Johnson solids …
- 4A. Iiii Tesseract
The geochoron is the four-dimensional hypercube, and is perhaps the most well …
- Spherinder
A spherinder is a special case of the prism where the base is a sphere.It is …
- Spheritorus
Of all the four-dimensional torii, the spheritorus, previously known as the …
- Cubinder
A cubinder is a special case of a prism where the base is a cylinder.It is also the …
- Cylinder
A cylinder is a special case of a prism where the base is a circle. it has two …
- Aerochoron
The aerochoron, also known as the hexadecachoron and the 16-cell, is the …
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3-sphere - Wikipedia
In mathematics, a hypersphere or 3-sphere is a 4-dimensional analogue of a sphere, and is the 3-dimensional n-sphere. In 4-dimensional Euclidean space, it is the set of points equidistant from a fixed central point. The interior of a 3-sphere is a 4-ball.
It is called a 3-sphere because topologically, the surface itself is 3-dimensiona…Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 9 mins
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3-sphere - MATHCURVE.COM
It is a 3-dimensional manifold homeomorphic to the Alexandroff compactification of the usual tridimensional space R 3, written S 3. In other words, the hypersphere minus one point is topologically equivalent to the usual space.
Glome - Polytope Wiki
A glome, also known as a 3-sphere, is the set of all points in 4D space that are a certain distance away from a given point. This distance is known as the radius. While a glome can be thought …
A cube is to a tesseract as sphere is to a _____? What is the
anything higher than n=2 and they're just generally called n-spheres (with n=2 being our usual 3-dimensional sphere). However a 3-sphere is called a glome. Good answer, but I've never …
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Glome - All dimensions Wiki | Fandom
The glome is the 4D sphere. vertex count = edge length = surface area = surcell volume = surteron bulk = Glome (3D) Notes on the subfacets of hyperspheres can be found on the circle and sphere...
Glome Wiki: Visualization - ludism.org
Again, begin with the simplest figure: a 4D hypersphere (a.k.a. glome). Somewhat unintuitively to non-mathematicians, this is also termed a 3-sphere, because any point on its "surface" can be …
3-sphere | EPFL Graph Search
In mathematics, a 3-sphere, glome or hypersphere is a higher-dimensional analogue of a sphere. It may be embedded in 4-dimensional Euclidean space as the set of points equidistant from a …
3-sphere - AcademiaLab
In topology, a 3-sphere or hypersphere (also called a glome) is analogous to a sphere in a space of greater number of dimensions. An ordinary sphere, or 2-sphere, consists of all points …
Glome | Verse and Dimensions Wikia | Fandom
A glome is a 3-dimensional surface produced by finding the set of all points that are an equal distance from another point in 4-dimensional space. Do to it being curved, it is often …
SC: Glome - Strolen's Citadel
A glome, what you younglings like to call a hypersphere, is a 4-D sphere existing within normal Euclidean space. As you all know, this is an unnatural configuration. The majority of glomes …
Instead of living on a 2-sphere (the 2-surface of a normal (3D) ball), we now pretend to be on/in a 3-sphere, a glome, which is the 3-surface of a 4-dimensional hypersphere. Our looking …
Glome Wiki: Home Page - ludism
What is a glome? "Glome" is the word for a four-dimensional hypersphere. It comes from the Latin glomus, which means "ball". It seems to have been coined by the hyperspatial geometer …
Hi.gher. Space • View topic - 4D Rotational Projection
Jan 30, 2015 · Is duosphere the correct term for a 2d circle->3d sphere->4d? equivalent? Here's an animation image of what a glome 'duosphere' might look like at a certain distance and …
2-spheres and 3-spheres - YouTube
May 23, 2018 · 3D and 4D spheres with 3D and 4D rotation. Btw a 4D hypersphere also goes under the name glome if it is hollow and gongyl if it is solid.
The Fourth Dimension: Why Our 3D-Bound Minds Struggle to See It
Oct 31, 2023 · Conceptualizing familiar 3D objects like spheres in higher dimensions — a 4D sphere or “glome” has 3D surfaces
Glome -- from Wolfram MathWorld
Mar 5, 2020 · A glome is a 4-sphere (in the geometer's sense of the word) x^2+y^2+z^2+w^2=r^2 (as opposed to the usual 3-sphere). The term derives from the Latin "glomus" meaning "ball of …
shows the possible ways to cope with a 3D visualization of a glome. In this paper, we hypothesize that brain activity is shaped in guise of an hypersphere which performs 4D movements on the …
Projections of sphere. The look from 2D space. A glome is a 4D …
The opaque sphere looks like a circle ( Fig. 1. at x=0). When the sphere is transparent one can find inside two orthogonal independent circles (Fig. 2.). In 3D space the glome can be...