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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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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.

Oct 31, 2023 · Conceptualizing familiar 3D objects like spheres in higher dimensions — a 4D sphere or “glome” has 3D surfaces

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 …

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...