The tesseract's radial equilateral symmetry makes its tessellation the unique regular body-centered cubic lattice of equal-sized spheres, in any number of dimensions. As a simple example, stop the animation and set all the angles to zero. An axis (set of fixed points) of a four-dimensional rotation is a plane. Hence, the tesseract has a dihedral angle of 90°. This Demonstration gives a variety of animated rotations of a hypercube in four dimensions with eight spaced cubes projected onto three dimensions. It is the four-dimensional hypercube, or 4-cube as a member of the dimensional family of hypercubes or measure polytopes. Hypercube Vertices in Parallel Coordinates This is a four dimensional visualization of the vertices. The tesseract is also called an 8-cell, C 8, (regular) octachoron, octahedroid, cubic prism, and tetracube. For n 2, when the n -cube is a square, there are 4 rotations around the centre of the square: by 0, 90, 180 and 270 degrees. Hypercube Edges in Orthogonal Projection Indices Edges Perspective Rotate xz Rotate yz Rotate xw Rotate yw Rotate xy Rotate zw Unfortunately, your browser does not support coolness. The tesseract is one of the six convex regular 4-polytopes.
Just as the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells.
In geometry, a tesseract is the four-dimensional analogue of the cube the tesseract is to the cube as the cube is to the square. Its made by taking a cube net, extending it to the 3rd dimension, then using the 4th dimension folding it into a hypercube. The tesseract can be unfolded into eight cubes into 3D space, just as the cube can be unfolded into six squares into 2D space. A hypercube/tesseract is the 4 dimensional equivalent of a normal cube.
0 kommentar(er)
