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The Parallelogram

Two red diagonals in two parallelograms, a big one and a small one.

Geometry

How to play

Look first, then answer

Two red diagonals in two parallelograms, a big one and a small one.

  • Under a minute · one question · then the explanation
How it works — best read after you have tried it

A line takes the size of its shape

The two diagonals are exactly the same length. Each is seen as part of the shape around it, and the size of the whole leaks into the judgement of the part: the diagonal of the big parallelogram borrows its bigness, the one in the small parallelogram its smallness.

Friedrich Sander described it in 1926. Take the parallelograms away and what is left is a plain V with two equal arms.

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