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More generally, any space that can be described locally with six coordinates, not necessarily Euclidean ones, is six-dimensional. One example is the surface of the 6-sphere, S 6 . This is the set of all points in seven-dimensional space (Euclidean) R 7 {\displaystyle \mathbb {R} ^{7}} that are a fixed distance from the origin.
A configuration of the rigid body is defined by six parameters, three from and three from (), and is said to have six degrees of freedom. In this case, the configuration space Q = R 3 × S O ( 3 ) {\displaystyle Q=\mathbb {R} ^{3}\times \mathrm {SO} (3)} is six-dimensional, and a point q ∈ Q {\displaystyle q\in Q} is just a point in that space.
In geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces. It has Schläfli symbol {4,3 4}, being composed of 3 5-cubes around each 4-face. It can be called a hexeract, a portmanteau of tesseract (the 4-cube) with hex for six (dimensions) in ...
The six degrees of freedom: forward/back, up/down, left/right, yaw, pitch, roll. Six degrees of freedom (6DOF), or sometimes six degrees of movement, refers to the six mechanical degrees of freedom of movement of a rigid body in three-dimensional space.
The Lorentz group is a six-dimensional noncompact non-abelian real Lie group that is not connected. ... (n − 1)-sphere in (n + 1)-dimensional Minkowski space.
The equation is a nonlinear integro-differential equation, and the unknown function in the equation is a probability density function in six-dimensional space of a particle position and momentum. The problem of existence and uniqueness of solutions is still not fully resolved, but some recent results are quite promising.
The Sixth Dimension or Sixth Dimension may refer to: . Six-dimensional space, a concept in mathematics and physics; Sixth Dimension, a 2017 album by Power Quest; The Sixth Dimension, a fictional place in the 1982 film Forbidden Zone
In geometry, the 2 22 honeycomb is a uniform tessellation of the six-dimensional Euclidean space. It can be represented by the Schläfli symbol {3,3,3 2,2}.It is constructed from 2 21 facets and has a 1 22 vertex figure, with 54 2 21 polytopes around every vertex.