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A classical element referred to as the Fifth Element in ancient and medieval times. It is believed to be the material that fills the region of the universe beyond the terrestrial sphere. This belief goes as far back as Plato's Timaeus, where it is said that "there is the most translucent kind which is called by the name of aether (αἰθήρ ...
Direct projection of 3-sphere into 3D space and covered with surface grid, showing structure as stack of 3D spheres (2-spheres) 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.
Special cases are right triangles (p q 2). Uniform solutions are constructed by a single generator point with 7 positions within the fundamental triangle, the 3 corners, along the 3 edges, and the triangle interior. All vertices exist at the generator, or a reflected copy of it. Edges exist between a generator point and its image across a mirror.
A skybox is a method of creating backgrounds to make a video game level appear larger than it really is. [1] When a skybox is used, the level is enclosed in a cuboid.The sky, distant mountains, distant buildings, and other unreachable objects are projected onto the cube's faces (using a technique called cube mapping), thus creating the illusion of distant three-dimensional surroundings.
Menger sphere, rendered in SunFlow; Post-It Menger Sponge – a level-3 Menger sponge being built from Post-its; The Mystery of the Menger Sponge. Sliced diagonally to reveal stars; OEIS sequence A212596 (Number of cards required to build a Menger sponge of level n in origami) Woolly Thoughts Level 2 Menger Sponge by two "Mathekniticians"
In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes.A hyperboloid is the surface obtained from a hyperboloid of revolution by deforming it by means of directional scalings, or more generally, of an affine transformation.
Dyson Sphere Program takes place in a futuristic science fiction world, where a society exists primarily in a virtual computer space, which demands a great deal of power and computational ability. To expand that, they have sent one of their members, the player, into the real universe to construct a Dyson sphere from resources in a nearby star ...
Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .
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