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Математическая Лига

30 Sep, 16:28

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📐Задача о вписанном прямоугольнике

Можно ли на любой замкнутой плоской кривой найти четыре точки, образующие вершины вписанного прямоугольника?

В данном видео детально исследуется эта задача и наглядно демонстрируется, как абстрактные топологические объекты (такие как бутылка Клейна или лента Мёбиуса) могут быть использованы для решения задачи.

#интересное
This open problem taught me what topology is
The inscribed square/rectangle problem, solved using Möbius strips and Klein bottles. Playlist with more neat proofs: https://www.youtube.com/playlist?list=PLZHQObOWTQDPSKntUcMArGheySM4gL7wS Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equal...

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