Phi and the Golden Ratio

φ

It sounds like it might be Roald Dahl's unreleased sequel to James and the Giant Peach, but it's not.
Is it the answer to our aesthetic dreams?  Well maybe, but whatever it is, this number has fascinated mathematicians, architects and artists for millenia now, so it must mean something right?
I don't really get maths but this has something to do with the proportions of two quantities:

"two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to (=) the ratio of the larger quantity to the smaller one"

Ok, so I don't get it but it's interesting because it's eveywhere.  Not only does it seem to be part of the design of nature, but it's consciously or unconsciously shaped many of the greatest pieces of art and architecture around us.  Some dimensions of the Acropolis, the Pantheon, the Great Pyramid of Giza and the Great Mosque of Kairouan have it, Salvador Dali used it in his  'Sacrament of the Last Supper'.  Da Vinci's illustrations in De Divina Proportione and The Vitruvian man exhibit it, and it is expressed in the structure of branches, the stems of plants and even the veins in their leaves.

So I wonder, is it in the design of your iPod?

Remember it when you're designing your next building, painting your next painting or measuring your next garment...does it look better now?

φ = 1.6180339887...

The space between our ears, or glasses.

The Japanese called it 'ma' in garden design, some people have a lot of it between their ears and others believe that it's actually dark matter.  Negative space: Whatever it is, some people just like using it for artistic effect.

So, tasked with designing an object to celebrate the anniversary of the classic Coca Cola bottle Paul Daly came up with this little masterpiece.  Using the negative space between 2 beautifully crafted crystal glasses he 'pseudo-creates' the best unmade coke bottle of all time.  Genius.


http://pauldaly.com/index.php

Here's a poem from philosopher Lao Tse about this whole negative space (ma) thing: so very profound.:

Thirty spokes meet in the hub,

but the empty space between them

is the essence of the wheel.

Pots are formed from clay,

but the empty space between it

is the essence of the pot.

Walls with windows and doors form the house,

but the empty space within it

is the essence of the house