Construction a Golden Rectangle

[Acorn]

This Challenge allegedly has deep connections to art, geometry and our psyche.

The Golden Ratio is calculated to be 1.618::1.
It describes a pattern that is found in sunflowers, playing cards, architecture and web design layout.

Here are two presentations of a Golden Rectangle where the sides are in Golden Ratio proportion:

Attachment 122576

Now it can be shown that the Golden Ratio is integral to the pentagon, where it is Diagonal Length::Edge Length:


It is therefore possible to construct the blue Golden Rectangle from this knowledge, as shown.

In this Challenge, I wish you to uncover a simpler construction of the Golden Rectangle.

Acorn

P.S. Phi (ɸ) is (√5 + 1) / 2 ≃ 1.6180339887498948482045868343656

[handrawn]

first attachement not showing here... unless you have a deleted image broken link...

[handrawn]

well at least you spared us the fibonacci sequence

how accurate do you want it - 1.6 is usually ok for this lowly cartoonist, and since that is one:three-fifths makes it all a whole load easier... but I tend not to use it that much, I go by what looks right..

[Acorn]

well at least you spared us the fibonacci sequence
how accurate do you want it - 1.6 is usually ok for this lowly cartoonist, and since that is one:three-fifths makes it all a whole load easier... but I tend not to use it that much, I go by what looks right..

I actually slipped in the Fibonacci Sequence through the sunflowers.

The attachment got deleted instead of the one wrongly enumerated in the second diagram.

The diagram should have been:



Acorn

This one had two typos:

[handrawn]

I actually slipped in the Fibonacci Sequence through the sunflowers.

don't tell me... next up is the golden spiral

[Acorn]

don't tell me... next up is the golden spiral

Nope, only pink elephants:



Acorn

[wizard509]

Nope, only pink elephants:



Acorn

Ha ha
H

[wizard509]

This Challenge allegedly has deep connections to art, geometry and our psyche.

The Golden Ratio is calculated to be 1.618::1.
It describes a pattern that is found in sunflowers, playing cards, architecture and web design layout.

Here are two presentations of a Golden Rectangle where the sides are in Golden Ratio proportion:

Attachment 122576

Now it can be shown that the Golden Ratio is integral to the pentagon, where it is Diagonal Length::Edge Length:


It is therefore possible to construct the blue Golden Rectangle from this knowledge, as shown.

In this Challenge, I wish you to uncover a simpler construction of the Golden Rectangle.

Acorn

P.S. Phi (ɸ) is (√5 + 1) / 2 ≃ 1.6180339887498948482045868343656

Acorn , I used to be very aware of the "Golden rectangle" but now a days like handrawn I tend to go by what looks right. I tend to think of the value of Pi as 22/7 or rounded to 3.14159.

[handrawn]

[Acorn]

Cheers, your eye is half of the solution. If the elephant has a left eye squint as well, you have the complete answer!

Acorn