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.

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 of as a limit polychoron with infinitely many cells, glomes themselves are not …

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...

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 intersections with hyperplanes. The set of points midway between two antipodal points form a sphere, hence one may think of the glome as having a spherical "equator".

2004年1月6日 · This coordinate system is very strange - it describes a point in four dimensional space, but with only three coordinates. Is this really possible? It violates the principle that you need four quantities to describe a point in space of four dimensions. Maybe it needs two radii:

Globe4D is an interactive installation for immersive globe viewing. It allows people to learn and communicate about different phenomena on earth and other planets and see how these have changed over time. Interactive visualizations on a physical …

Glome - This is the four dimensional sphere, solid versions are sometimes called gongols. It has rollability of 4, for all four dimensions are curved. It could be represented as (||).

In 4D space, the equivalent of the sphere is called the hypersphere, or the glome. From now on, all we can do is to imagine. It's hard to imagine it, but it's just all points same distance away from the center, extending to the fourth dimension. On the glome surface, one can move in three directions; thus, three angular parameters show ur location.

For 4D objects, begin with the tesseract (or 4D hypercube, the 4D analog of a cube) and the pentachoron (or 4-simplex, the 4D analog of a tetrahedron). Again, begin with the simplest figure: a 4D hypersphere (a.k.a. glome).

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 that we know of exist in simulation, and within the confines of a Kerensky-Fuchida vessel.