what links all the following ??????. the golden ratio (φ) it is approximately equal to; 1.61803...

What links all the following ??????

The Golden Ratio (φ)

It is approximately equal to;

1.61803 39887 49894 84820 45868 34365 63811 77203 09179 80576 ………… but is often shortened to 1.618, such as pi is shortened to 3.145. The Golden Ratio is a fascinating number which appears everywhere from nature to art.

The Golden Rectangle

The "Golden Rectangle" is a rectangle whose length and height is determined by the "Golden Ratio". It is deemed to be the most aesthetically pleasing rectangle possible.

What links all the following ??????

The Mona Lisa

The Mona Lisa's face was constructed to fit into a golden rectangle, with the rest of the painting fitting into other golden rectangles.

The Veruvian Man

The ratio of the distance from the top of the head to the navel compared with the distance of the navel to the ground is around 1.6.

The Parthenon is full of examples of the "Golden Rectangle", both its

exterior and interior contain the "Golden Ratio".

Interesting Properties of the Golden Ratio

The Golden Ratio is the only number which when you add one it gives you the value of itself squared

1.6182 + 1 = 2.618 = 1.61822

The Golden Ratio is also the only number which when you take away one it gives you the value of its reciprocal

1.618 - 1 = 0.618 =1

1.618

• Piet Mondrian is a modern Dutch artist, who lived in 1872 - 1944. The Golden Rectangle is one of the basic shapes, which keeps appearing in Mondrian's art.

• Create Your Own ‘Golden' Art:

• Take a blank piece of paper • Prepare different coloured pencils • On a separate piece of paper, practice drawing golden

rectangles of different sizes and colours. • Plan out your original design: how you are going to

arrange the rectangles on paper. • Draw your design, experimenting with the different

colours and sizes of your golden rectangles. • You can also draw some rectangles which aren't golden,

include them in your artwork, and see how it changes the effect.