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In geometry, it is an unsolved conjecture of Hugo Hadwiger that every simplex can be dissected into orthoschemes, using a number of orthoschemes bounded by a function of the dimension of the simplex. If true, then more generally every convex polytope could be dissected into orthoschemes.

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  • Dissection into orthoschemes (en)
  • Разбиение на ортосхемы (ru)
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  • In geometry, it is an unsolved conjecture of Hugo Hadwiger that every simplex can be dissected into orthoschemes, using a number of orthoschemes bounded by a function of the dimension of the simplex. If true, then more generally every convex polytope could be dissected into orthoschemes. (en)
  • Нерешённая гипотеза Гуго Хадвигера утверждает, что любой симплекс может быть разбит на , причём число ортосхем ограничено сверху функцией от размерности симплекса. Если гипотеза верна, то верно и более общее утверждение, что любой выпуклый многогранник можно разбить на ортосхемы. (ru)
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  • In geometry, it is an unsolved conjecture of Hugo Hadwiger that every simplex can be dissected into orthoschemes, using a number of orthoschemes bounded by a function of the dimension of the simplex. If true, then more generally every convex polytope could be dissected into orthoschemes. (en)
  • Нерешённая гипотеза Гуго Хадвигера утверждает, что любой симплекс может быть разбит на , причём число ортосхем ограничено сверху функцией от размерности симплекса. Если гипотеза верна, то верно и более общее утверждение, что любой выпуклый многогранник можно разбить на ортосхемы. (ru)
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