2 Attachment(s)
Construction a Golden Rectangle
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:
Attachment 122575
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
Re: Construction a Golden Rectangle
first attachement not showing here... unless you have a deleted image broken link...
Re: Construction a Golden Rectangle
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..
2 Attachment(s)
Re: Construction a Golden Rectangle
Quote:
Originally Posted by
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..
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:
Attachment 122582
Acorn
This one had two typos:
Re: Construction a Golden Rectangle
Quote:
Originally Posted by
Acorn
I actually slipped in the Fibonacci Sequence through the sunflowers.
:D
don't tell me... next up is the golden spiral ;)
1 Attachment(s)
Re: Construction a Golden Rectangle
Quote:
Originally Posted by
handrawn
:D
don't tell me... next up is the golden spiral ;)
Nope, only pink elephants:
Attachment 122583
Acorn
Re: Construction a Golden Rectangle
Quote:
Originally Posted by
Acorn
Ha ha
H
Re: Construction a Golden Rectangle
Quote:
Originally Posted by
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:
Attachment 122575
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.
1 Attachment(s)
Re: Construction a Golden Rectangle
Re: Construction a Golden Rectangle
Quote:
Originally Posted by
handrawn
Cheers, your eye is half of the solution. If the elephant has a left eye squint as well, you have the complete answer!
Acorn