Most shapes are covered by the the decagon being Pentagons, Pentacles, etc, the Decagon is two opposite Pentacles being 36 degrees apart:-
[www.goldennumber.net]

However the Golden Spiral isn't so easy to fit in the pattern, but is very important:-

[en.wikipedia.org].

To see how the Decagon and a Golden Spiral can come up in approx. measures can be seen by diagrams below:-

[files.abovetopsecret.com]

[www.goldennumber.net]

[files.abovetopsecret.com]

What set me thinking was the link below that explains the retrograde-motion of planets, it appears that Venus forms a Pentacle and a Heart, which is an illusion.

[www.skyscript.co.uk]

If you join a Golden Spiral to a mirror image you do get a bean or heart shape as shown below:-

[files.abovetopsecret.com]

I will leave the puzzle till tomorrow, but i will leave the shape that the Mandelbrot set zoom can't show the inside of, it is a rough ride, hold tight, video below:-

[www.youtube.com]