The Moving Sofa Problem - Numberphile
Featuring Dan Romik from UC Davis. More footage from this interview soon on Numberphile2. Dan's comprehensive page on this topic: http://bit.ly/movingsofa Numberphile is supported by the Mathemati...
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So we're going to talk about a problem in geometry and it's called the moving sofa problem. So the problem is inspired by the real life problem of moving furniture around. It's called - named after sofas but it can be anything really. You have a piece of furniture you're carrying down a corridor in your house or down some whatever place and you need to navigate some obstacles. So one of the simple situations in capturing that would be when you have a turn, a right turn, in the corridor. You need to move the sofa around. We're modeling this in two dimensions so let's say the sofa is so heavy you can't even lift it up you can only push it around on the floor. Obviously some sofas will fit around the corner some will ...
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So we're going to talk about a problem in geometry and it's called the moving sofa problem. So the problem is inspired by the real life problem of moving furniture around. It's called - named after sofas but it can be anything really. You have a piece of furniture you're carrying down a corridor in your house or down some whatever place and you need to navigate some obstacles. So one of the simple situations in capturing that would be when you have a turn, a right turn, in the corridor. You need to move the sofa around. We're modeling this in two dimensions so let's say the sofa is so heavy you can't even lift it up you can only push it around on the floor. Obviously some sofas will fit around the corner some will ...
