: Beginner Question: Need a little help figuring out how to use golden ratio shapes to build a part of my logo Been checking out a bunch of tutorials and came across this golden ratio technique.
Been checking out a bunch of tutorials and came across this golden ratio technique. My math side loves the idea but I'm curious how it works.
In this logo I'm putting together using Illustrator, I have sunshine rays coming over some hills, all enclosed in a half circle. I get how I can make the half circle and hills, but what about the rays?
All the golden ratio tutorials use only curved lines but the rays are straight. Would I just manually add straight lines and use the circles for the ends of the rays? Any help and advice would be much appreciated. Thanks
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This is only an addition to already useful answers. You wanted a golden ratio grid in the comments. Its here:
Draw a rectangle H=10 millimeters, W=16,18 millimeters. Goto Object > Transform > Scale and make a 161,8 % sized copy. Press Ctrl+D a few times to make more
Align the rectangles to right and bottom
Add lines to make a grid. Be sure that you have smart quides ON and snapping only to points ON. Group all parts to keep them together.
Make a copy, Object > Transform > Reflect > Vertical gives to you the right part. Move the parts side by side and scale to the wanted size.
Ready
ADDENDUM: You might get it a little easier and also vertically symmetric, if you do step 1, but after it divide the result vertically and horizontally (Magenta) at the middle. Then add lines (Blue), group and scale.
The Golden Ratio is 1:1.618 and has nothing to do with circles per-se. The circles in your sample show the limit of sequence
You could use the Golden Triangle to define the rays. Or just use the 'Golden Section Ruler':
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