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На квадратном торте расположены a) круглые; b) треугольные шоколадки, которые не соприкасаются между собой. Всегда ли можно разрезать торт на выпуклые многоугольники так, чтобы каждый многоугольник содержал ровно одну шоколадку? (Торт считайте плоским квадратом.)

P.S. Первый пункт взаимосвязан с областями Вороного, а второй пункт - задача А.Я. Канеля на тургоре



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На квадратном торте расположены a) круглые; b) треугольные шоколадки, которые не соприкасаются между собой. Всегда ли можно разрезать торт на выпуклые многоугольники так, чтобы каждый многоугольник содержал ровно одну шоколадку? (Торт считайте плоским квадратом.)

P.S. Первый пункт взаимосвязан с областями Вороного, а второй пункт - задача А.Я. Канеля на тургоре

BY Геометрия-канал




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Unlike Silicon Valley giants such as Facebook and Twitter, which run very public anti-disinformation programs, Brooking said: "Telegram is famously lax or absent in its content moderation policy." Since its launch in 2013, Telegram has grown from a simple messaging app to a broadcast network. Its user base isn’t as vast as WhatsApp’s, and its broadcast platform is a fraction the size of Twitter, but it’s nonetheless showing its use. While Telegram has been embroiled in controversy for much of its life, it has become a vital source of communication during the invasion of Ukraine. But, if all of this is new to you, let us explain, dear friends, what on Earth a Telegram is meant to be, and why you should, or should not, need to care. Pavel Durov, Telegram's CEO, is known as "the Russian Mark Zuckerberg," for co-founding VKontakte, which is Russian for "in touch," a Facebook imitator that became the country's most popular social networking site. "Like the bombing of the maternity ward in Mariupol," he said, "Even before it hits the news, you see the videos on the Telegram channels." On February 27th, Durov posted that Channels were becoming a source of unverified information and that the company lacks the ability to check on their veracity. He urged users to be mistrustful of the things shared on Channels, and initially threatened to block the feature in the countries involved for the length of the war, saying that he didn’t want Telegram to be used to aggravate conflict or incite ethnic hatred. He did, however, walk back this plan when it became clear that they had also become a vital communications tool for Ukrainian officials and citizens to help coordinate their resistance and evacuations.
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