Triangle ABC is equilateral.

MA/ME is the golden ratio!

(George Hart showed me this result some time ago.)

Vynce Montgomery pointed out that therefore, this could be a way to construct a pentagram. To respond to this challenge, I hid everything but MA and ME, and proceeded from there:

--Henri

PS: thinking about this a few days later, it occurs to me that if you don't feel like doing the algebra, the second figure is pretty good confirmation of George's claim.

"There is no one way"

## Wednesday, October 30, 2013

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