spamsink: (lenin)
[personal profile] spamsink
Как нетрудно подсчитать, объем шара с диаметром 1 - π/6, т.е. чуть больше 1/2. Вопрос: каково минимальное количество вершин у многогранника с диаметром 1 и объемом не менее 1/2?

99 points of diameter 1 in Euclidean space.
99 points with a volume of a 1/2.
Take one off, move them around (without increasing diameter)
You can't get a volume of 1/2 any more.
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