About: List of Rotatopes by Toratopic Notation   Sponge Permalink

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A rotatope is a shape constructed from the Cartesian product of multiple hyperballs. This includes the hypercubes (as the products of multiple line segments), hyperballs, intermediate shapes that can be considered as higher-dimensional analogues of the cylinder, and hyperball products with no lower-dimensional analogies like the cyclosphere. If hyperspheres are also allowed in the Cartesian products, then a larger class of polytopes known as toratopes can be constructed. The following is a list of rotatopes, organized by their representation in toratopic notation as written by Bowers

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  • List of Rotatopes by Toratopic Notation
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  • A rotatope is a shape constructed from the Cartesian product of multiple hyperballs. This includes the hypercubes (as the products of multiple line segments), hyperballs, intermediate shapes that can be considered as higher-dimensional analogues of the cylinder, and hyperball products with no lower-dimensional analogies like the cyclosphere. If hyperspheres are also allowed in the Cartesian products, then a larger class of polytopes known as toratopes can be constructed. The following is a list of rotatopes, organized by their representation in toratopic notation as written by Bowers
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abstract
  • A rotatope is a shape constructed from the Cartesian product of multiple hyperballs. This includes the hypercubes (as the products of multiple line segments), hyperballs, intermediate shapes that can be considered as higher-dimensional analogues of the cylinder, and hyperball products with no lower-dimensional analogies like the cyclosphere. If hyperspheres are also allowed in the Cartesian products, then a larger class of polytopes known as toratopes can be constructed. The following is a list of rotatopes, organized by their representation in toratopic notation as written by Bowers
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