Golden Section for an 8.5" x 11" horz paper...

Hildebrant's picture

So Im trying ti fugure out what the golden section for an 8.5" x 11" USA letter sized paper would be. I know how one would figure this out for a square, but what about something not square? how would I go about this?


hildebrant.

matteson's picture

As far as know, Kyle, that would be impossible. The golden section is generally approximated by the ratio 1:1.618. Which, sadly for us, isn't a US letter sheet. Unless you trim it.

Nate

Hildebrant's picture

I hate our paper sizes :-(.... but still is it not possible to find these in a non square size? or am I crazy?

matteson's picture

US paper sucks. Why is it that we don't use metric? Anyway, after some fast long division, it seems that the closest (cheapest and easiest) you can get with US letter is to trim it to 11 x 6 13/16. That might be a resonable Golden Section.

matteson's picture

One more approximation (based on the Fibonacci series) would be 233mm x 144mm.

rcapeto's picture

Kyle, I don't understand what you want to do (didn't get what
you mean by

matteson's picture

OK, so I forgot about this thread, but today while I was teaching I farted out a way to geometrically derive a golden section from ugly US paper. Take an 11x17 sheet. Assume you're looking at it vertically. Draw a horizontal line 11" from the bottom to describe an 11" square. Draw a horiz. line 5.5" from the bottom to bisect the square. Draw a diagonal line from the bottom left corner to the top right corner of the lower half of the square. Rotate that line counterclockwise so that its arc hits the left edge of the paper approximately 12.3" from the bottom. Draw a horizontal line from that point. The area bounded by that line, the line at 5.5", and the left and right edges of the sheet should be a Golden Rectangle.

Although it would still be easier to trim your paper to 11 x 6 13/16". That's essentially what you've just constructed. And with a lot less waste.

Hildebrant's picture

how about 9" x 12" :-)


hildebrant.

being that this is what my specs have changed to. :-)

sean's picture

You ratio is 3 to 4.





Use #3 if you can.

-smc

Hildebrant's picture

how about for horizontal orientation?

sean's picture

Here you are Kyle.





-smc

Hildebrant's picture

sweet, I looks like it matches the design I did.

hildebrant.

sean's picture

wow. votes.

sean's picture

Can we see your design?

-smc

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