Needles and yarn

The purple yarn is stretched between the coloured needles approximately as shown, and the yarn is repositioned to make the shortest path of that type. What is the length ratio purple/green?

Scroll down for a solution to this problem.


Purple/green is the Golden ration φ.

Solution by Stéphane Bernard.


Needles and yarn

If life hurts
Take needle and thread
If you have a sore
Don’t cry anymore
Help yourself
Don’t shed tears
Words are caresses
To express tenderness
The thread of life
Unfolds endlessly


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