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A two-dimensional representation of the Klein bottle immersed in three-dimensional space. In mathematics, the Klein bottle (/ ˈ k l aɪ n /) is an example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down.
In geometry, a 10-cube is a ten-dimensional hypercube. It has 1024 vertices , 5120 edges , 11520 square faces , 15360 cubic cells , 13440 tesseract 4-faces , 8064 5-cube 5-faces , 3360 6-cube 6-faces , 960 7-cube 7-faces , 180 8-cube 8-faces , and 20 9-cube 9-faces .
In geometry, a 10-demicube or demidekeract is a uniform 10-polytope, constructed from the 10-cube with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM 10 for a ten-dimensional half measure polytope.
The D 10 family has symmetry of order 1,857,945,600 (10 factorial × 2 9). This family has 3×256−1=767 Wythoffian uniform polytopes, generated by marking one or more nodes of the D 10 Coxeter-Dynkin diagram. Of these, 511 (2×256−1) are repeated from the B 10 family and 256 are unique to this family, with 2 listed below. Bowers-style ...
In ten-dimensional geometry, a rectified 10-cube is a convex uniform 10-polytope, being a rectification of the regular 10-cube. There are 10 rectifications of the 10-cube, with the zeroth being the 10-cube itself. Vertices of the rectified 10-cube are located at the edge-centers of the 10-cube.
Since the -form gauge fields naturally couple to extended objects with dimensional world-volume, Type IIA string theory naturally incorporates various extended objects like D0, D2, D4 and D6 branes (using Hodge duality) among the D-branes (which are charged) and F1 string and NS5 brane among other objects.
Primary fabric (bedding) shown by abrupt change in clast size, secondary fabric shown by penetrative S-fabric, cleavage, in fine-grained rock, and by shape fabric in deformed volcanic clasts. Cape Forchu, Nova Scotia. In geology, a rock's fabric describes the spatial and geometric configuration of all the elements that make it up.