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Wallpaper Symmetry is a free online JavaScript drawing tool supporting the 17 groups. The main page has an explanation of the wallpaper groups, as well as drawing tools and explanations for the other planar symmetry groups as well. TALES GAME, a free software designed for educational purposes which includes the tessellation function.
Another special class of fiber bundles, called principal bundles, are bundles on whose fibers a free and transitive action by a group is given, so that each fiber is a principal homogeneous space. The bundle is often specified along with the group by referring to it as a principal G {\displaystyle G} -bundle.
In mathematics, the classifying space for the unitary group U(n) is a space BU(n) together with a universal bundle EU(n) such that any hermitian bundle on a paracompact space X is the pull-back of EU(n) by a map X → BU(n) unique up to homotopy. This space with its universal fibration may be constructed as either
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Mac OS X Leopard introduced the concept of the sparse bundle. [3] Instead of a single big file, a sparse bundle is a bundle (directory) containing a number of files called bands, each on the order of 8 MB in size. This means even though to the end user the sparse bundle appears as a single file, it is composed of smaller files.
Free-space path loss, the spreading-out of light as it travels through 3D space; Free-space display is a 3D display projected into the air, often with the help of mist; Autonomous free space, community centers in which non-authoritarians enact principles of mutual aid; Social centre the free shared space in a community; Descent: FreeSpace ...
The tangent frame bundle (or simply the frame bundle) of a smooth manifold is the frame bundle associated with the tangent bundle of . The frame bundle of M {\displaystyle M} is often denoted F M {\displaystyle FM} or G L ( M ) {\displaystyle \mathrm {GL} (M)} rather than F ( T M ) {\displaystyle F(TM)} .