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In seven-dimensional geometry, a runcinated 7-cube is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-cube. There are 16 unique runcinations of the 7-cube with permutations of truncations, and cantellations. 8 are more simply constructed from the 7-orthoplex .
Each cube contains a stick figure that has a unique animation it performs by itself and with others, such as playing a musical instrument or lifting weights. When the cubes are combined, the figures interact with one another, and can move from cube to cube, with up to four at a time in any display across a maximum network of sixteen cubes. [1]
The Necker cube is an optical illusion that was first published as a rhomboid in 1832 by Swiss crystallographer Louis Albert Necker. [1] It is a simple wire-frame, two dimensional drawing of a cube with no visual cues as to its orientation, so it can be interpreted to have either the lower-left or the upper-right square as its front side.
In geometry, a 9-orthoplex or 9-cross polytope, is a regular 9-polytope with 18 vertices, 144 edges, 672 triangle faces, 2016 tetrahedron cells, 4032 5-cells 4-faces, 5376 5-simplex 5-faces, 4608 6-simplex 6-faces, 2304 7-simplex 7-faces, and 512 8-simplex 8-faces.
The dual of a 7-cube is called a 7-orthoplex, and is a part of the infinite family of cross-polytopes.. Applying an alternation operation, deleting alternating vertices of the hepteract, creates another uniform polytope, called a demihepteract, (part of an infinite family called demihypercubes), which has 14 demihexeractic and 64 6-simplex 6-faces.
[c] [10] [9] [11] By 1970, the marriage had faltered, and Shyamala moved back to California with her two daughters; [12] [13] [9] the couple divorced when Kamala was seven. [14] In 1972, Donald Harris accepted a position at Stanford University ; Kamala and Maya spent weekends at their father's house in Palo Alto and lived at their mother's ...
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