√1¼ + ½ = ϕ
Thank you, Lada, for the geometry all around you. This math lesson, of yours, was fun!
The part about the golden rectangle fitting into the platonic solids freaked me out and also reminded me that one night I woke up from a dream and jotted this quick and easy formula down...
√1¼ + ½ = ϕ
It is a quick cheat for calculating the golden ratio, and although it shows itself to be essentially correct I have not proven it, but someone good at math could show us how this breaks down, or better yet, just prove it.
(1+√5) / 2 = √1.25 +.5
ᴷᴺᴼᵂᴺ versus ᴾᴵᴺᵀᴼ
I love to look at the descent of a bird of prey as it spirals in the perfect golden ratio toward its next meal. This allows the bird to make adjustments ever so slightly to compensate for the direction and speed of the fleeing prey. I also enjoy finding the golden ratio in the number and dircection of leaves and stems in a plant.
I would appreciate knowing of any other formulas for Phi in print. Thank you.
Please come check out some of the new hives and join in:
This last picture is an example of a logo for a domain name that I own. It is not currently being used other than as artwork for the banner of the hive called 'Pin.' Like the original Pinterest which is Pin + Interest, my version is Pin to Rest as an obvious play on my last name. Just like Pinterest, I hid a Tack within the image (above.) Using the same technique I also created something else unusual about this. Can you find what that is?