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.

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

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8 February 2003 - 12:24am

#1
Golden Section for an 8.5" x 11" horz paper...

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

Here you are Kyle.

-smc

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

hildebrant.

wow. votes.

Can we see your design?

-smc

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

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.

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

Kyle, I don’t understand what you want to do (didn’t get what

you mean by

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.

how about 9” x 12”

hildebrant.

being that this is what my specs have changed to.

You ratio is 3 to 4.

Use #3 if you can.

-smc

how about for horizontal orientation?