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Quaternions, one of the ways to describe rotations in three dimensions, consist of a four-dimensional space. Rotations between quaternions, for interpolation, for example, take place in four dimensions. Spacetime, which has three space dimensions and one time dimension is also four-dimensional, though with a different structure to Euclidean space.
Its net can be seen as a 4×4×4 matrix of 64 cubes, a periodic subset of the cubic honeycomb, {4,3,4}, in 3-dimensions. It has 192 edges, and 192 square faces. Opposite faces fold together into a 4-cycle. Each fold direction adds 1 dimension, raising it into 6-space. The 6-cube is 6th in a series of hypercube:
In six-dimensional geometry, a rectified 6-cube is a convex uniform 6-polytope, being a rectification of the regular 6-cube.. There are unique 6 degrees of rectifications, the zeroth being the 6-cube, and the 6th and last being the 6-orthoplex.
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; The Sixth Dimension, a fictional place in the British-Canadian TV series Ace Lightning
The following narration was used in the later-released versions of the episode which had been dubbed over by Rod Serling as narrator, where the phrase "the sixth dimension" is replaced with "the fifth dimension" to fall in line with later episodes of The Twilight Zone. There is a fifth dimension beyond that which is known to man.
A 6-polytope is a closed six-dimensional figure with vertices, edges, faces, cells (3-faces), 4-faces, and 5-faces. A vertex is a point where six or more edges meet. An edge is a line segment where four or more faces meet, and a face is a polygon where three or more cells meet.
KD’s sixth in the NBA in scoring, pumping in 27 points a night on characteristically sparkling 52/38/83 shooting splits; the Suns are 20-12 with him in the lineup, and a ghastly 1-9 in the 10 ...
The dimension of a vector space is the number of vectors in any basis for the space, i.e. the number of coordinates necessary to specify any vector. This notion of dimension (the cardinality of a basis) is often referred to as the Hamel dimension or algebraic dimension to distinguish it from other notions of dimension.