Mondrian Puzzle - Numberphile
Featuring Gordon Hamilton from Math Pickle. More links & stuff in full description below ↓↓↓ Read more (including an update to optimal solutions since the video): http://www.bradyharanblog.c...
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- You are Mondrian's worst art critic 100 years ago. You tell him he can no longer create art where two rectangles have the same dimension. That's just wrong. You're going to say, okay, I am going to score each of your pieces of art. We're going to insist that all of the rectangles have got different dimensions. And your score is going to be equal to your largest area of rectangle minus your smallest area of rectangle. Your smallest score possible is what you want to go for. The other condition is you have to tile the whole canvas. So let's start out. Brady, how big do you want this first rectangle to be? - [Brady] Three by two. - [Gordon] Three by two, okay. There's a three by two. So we can no longer make a two by three ...
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- You are Mondrian's worst art critic 100 years ago. You tell him he can no longer create art where two rectangles have the same dimension. That's just wrong. You're going to say, okay, I am going to score each of your pieces of art. We're going to insist that all of the rectangles have got different dimensions. And your score is going to be equal to your largest area of rectangle minus your smallest area of rectangle. Your smallest score possible is what you want to go for. The other condition is you have to tile the whole canvas. So let's start out. Brady, how big do you want this first rectangle to be? - [Brady] Three by two. - [Gordon] Three by two, okay. There's a three by two. So we can no longer make a two by three ...
