6-sphere coordinates - significado y definición. Qué es 6-sphere coordinates
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Qué (quién) es 6-sphere coordinates - definición


6-sphere coordinates         
3D COORDINATE SYSTEM CREATED BY INVERTING THE CARTESIAN COORDINATES ACROSS THE UNIT SPHERE
6-Sphere Coordinates; Six-sphere coordinates; Six-Sphere Coordinates
In mathematics, 6-sphere coordinates are a coordinate system for three-dimensional space obtained by inverting the 3D Cartesian coordinates across the unit 2-sphere x^2+y^2+z^2=1. They are so named because the loci where one coordinate is constant form spheres tangent to the origin from one of six sides (depending on which coordinate is held constant and whether its value is positive or negative).
N-sphere         
  • A set of points drawn from a uniformly distribution on the surface of a unit 2-sphere, generated using Marsaglia's algorithm.
  • 0,0,0,1}} have an infinite radius (= straight line).
  • ''n''}} dimensions.
GENERALIZATION OF THE ORDINARY SPHERE TO SPACES OF ARBITRARY DIMENSION
Hyperspherical coordinates; Hyper sphere; Area of the n-sphere; 4-sphere; Volume of the n-sphere; Four-dimensional sphere; Circle (topology); Hypersphere; 7-sphere; 0-sphere; N sphere; N-spheres; 5-sphere; 6-sphere; 8-sphere; 9-sphere; 10-sphere; N-Sphere; N‑sphere; Hyperspheres; Nsphere; D-sphere; Unit hypersphere; Hyperspherical; Hyperspherical coordinate system; Octahedral sphere; S^n; 4d Sphere
In mathematics, an -sphere or a hypersphere is a topological space that is homeomorphic to a standard -sphere, which is the set of points in -dimensional Euclidean space that are situated at a constant distance from a fixed point, called the center. It is the generalization of an ordinary sphere in the ordinary three-dimensional space.
SPHERES         
  • Plane section of a sphere: 1 circle
  • General intersection sphere-cylinder
  • spherical spiral with <math>c=8</math>
  • Coaxial intersection of a sphere and a cylinder: 2 circles
  • Loxodrome
  • Sphere and circumscribed cylinder
ROUND, ROTATIONALLY SYMMETRIC SHAPE OF THE 2D SURFACE OF A BALL IN 3D SPACE
Spherical; 2-sphere; Topological sphere; Hemispherical; Two-sphere; Globose; Spheres; Volume of a sphere; Sphere (geometry); Volume Of A Sphere; Two-dimensional sphere; S²; X^2+y^2+z^2=r^2; Surface area of a sphere; Maschler space; Orb (shape); Spherical surface; Spherical volume; Surface area of the sphere; ⁴⁄₃πr³; Volume of sphere; 1-sphere; Spherical region; Spherical curve; Curve on a sphere; Perfect sphere; Spherule
The Synchronized Position Hold Engage and Reorient Experimental Satellite (SPHERES) are a series of miniaturized satellites developed by MIT's Space Systems Laboratory for NASA and US Military, to be used as a low-risk, extensible test bed for the development of metrology, formation flight, rendezvous, docking and autonomy algorithms that are critical for future space missions that use distributed spacecraft architecture, such as Terrestrial Planet Finder and Orbital Express.