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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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Artem Kliuchnikov and his family fled Ukraine just days before the Russian invasion. The last couple days have exemplified that uncertainty. On Thursday, news emerged that talks in Turkey between the Russia and Ukraine yielded no positive result. But on Friday, Reuters reported that Russian President Vladimir Putin said there had been some “positive shifts” in talks between the two sides. Telegram was co-founded by Pavel and Nikolai Durov, the brothers who had previously created VKontakte. VK is Russia’s equivalent of Facebook, a social network used for public and private messaging, audio and video sharing as well as online gaming. In January, SimpleWeb reported that VK was Russia’s fourth most-visited website, after Yandex, YouTube and Google’s Russian-language homepage. In 2016, Forbes’ Michael Solomon described Pavel Durov (pictured, below) as the “Mark Zuckerberg of Russia.” If you initiate a Secret Chat, however, then these communications are end-to-end encrypted and are tied to the device you are using. That means it’s less convenient to access them across multiple platforms, but you are at far less risk of snooping. Back in the day, Secret Chats received some praise from the EFF, but the fact that its standard system isn’t as secure earned it some criticism. If you’re looking for something that is considered more reliable by privacy advocates, then Signal is the EFF’s preferred platform, although that too is not without some caveats. These entities are reportedly operating nine Telegram channels with more than five million subscribers to whom they were making recommendations on selected listed scrips. Such recommendations induced the investors to deal in the said scrips, thereby creating artificial volume and price rise.
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