Two squares and two equilateral triangles. Prove that the red vertices also form an equilateral triangle.

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## Solution

This proves the more general case in which the blue rectangle is a parallelogram. I thank Marshall W. Buck and Bob Ruyle for pointing out this generalisation. Also please refer to this article.

## Poem

Aspire to perfection

It’s a metaphor

To talk

About

Progress

Sidesteps

Disgressions

Crossroads

That we dared

Freely

Always

In respect and

In otherness

In true duality