Two squares and two equilateral triangles. Prove that the red vertices also form an equilateral triangle.
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Solution
![](https://mirangu.com/wp-content/uploads/2023/06/HiddenPerfectionSolution.jpg)
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
![](https://mirangu.com/wp-content/uploads/2023/06/HiddenPerfectionBella.jpg)