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В пространстве легко расположить 6 кубов с попарно непересекающимися внутренностями так, чтобы каждые 2 соприкасались по многоугольнику ненулевой площади. Как доказать, что нельзя больше? Какое максимальное число произвольных тетраэдров можно расположить таким же образом? А произвольных выпуклых многогранников?



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В пространстве легко расположить 6 кубов с попарно непересекающимися внутренностями так, чтобы каждые 2 соприкасались по многоугольнику ненулевой площади. Как доказать, что нельзя больше? Какое максимальное число произвольных тетраэдров можно расположить таким же образом? А произвольных выпуклых многогранников?

BY Геометрия с Ниловым




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Given the pro-privacy stance of the platform, it’s taken as a given that it’ll be used for a number of reasons, not all of them good. And Telegram has been attached to a fair few scandals related to terrorism, sexual exploitation and crime. Back in 2015, Vox described Telegram as “ISIS’ app of choice,” saying that the platform’s real use is the ability to use channels to distribute material to large groups at once. Telegram has acted to remove public channels affiliated with terrorism, but Pavel Durov reiterated that he had no business snooping on private conversations. As such, the SC would like to remind investors to always exercise caution when evaluating investment opportunities, especially those promising unrealistically high returns with little or no risk. Investors should also never deposit money into someone’s personal bank account if instructed. "There are a lot of things that Telegram could have been doing this whole time. And they know exactly what they are and they've chosen not to do them. That's why I don't trust them," she said. A Russian Telegram channel with over 700,000 followers is spreading disinformation about Russia's invasion of Ukraine under the guise of providing "objective information" and fact-checking fake news. Its influence extends beyond the platform, with major Russian publications, government officials, and journalists citing the page's posts. The message was not authentic, with the real Zelenskiy soon denying the claim on his official Telegram channel, but the incident highlighted a major problem: disinformation quickly spreads unchecked on the encrypted app.
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