Perhaps many people are no stranger to posters explaining the admirable golden ratio in Apple’s logo as below:

Over the years, many people have always believed that the Apple logo is definitely a prime example of the golden ratio. However, the actual golden ratio does not exist on this famous symbol. The article below will better explain to you why all the “golden ratio” here is just an elaborate trick.

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The current image of the perfect defective apple is actually not the first version designed by designer Rob Janoff for Apple. In a previous interview, he revealed that although it is still an apple prototype, its shape has been designed by the design company Landor & Associates changed more or less. Specifically, they lightened the color and adjusted its shape to make it more symmetrical.

When designing it, Janoff turned out to be hand-drawn, so the early 1980s version looked rather distorted like this:

Yes, the original logo Apple used certainly cannot be called a symmetry or a “mathematical masterpiece” at all. Then Apple hired design firm Landor & Associates to “orthopedic” it quite a lot. Although not much is known about the design process of this company, but we all know that after being revised, the missing apple image in the Macintosh catalog looks quite close to the current Apple logo.

The next step is to match the circles to other curves on the logo to see if the geometric relationship between them matches the graph above. It turns out that many of the curves on the Apple logo are not arcs (arcs belonging to a certain circle). For example, compare two curves on a leaf, you will see that they intersect but are not symmetrical like the “golden ratio” graph plotted.

The difference between 7.5 and 8.5 is like a “golden ratio” where the value is not 1.618 as usual, but 1.53 or 1.73. For ease of visualization, here is an actual image of a 1.73 “golden ratio” rectangle:

Or 1.53:

Turns out it’s 4.4 just…

If so, when inserted into the logo it will look like this, really the circles are too small to touch each other:

In this case, the “gold” standard has been lowered too low, because any area can be filled by circles of decreasing diameter that touch each other, for example right with the leaf on the logo:

At first glance you may think that the horizontal stroke and the stroke in the letter T have the same width. However, when placed side by side, their actual widths “shown as is”:

The difference is quite large, but it is difficult for the human eye to notice when they are arranged in different directions. In fact, if these two strokes were the same width, the image of a T up would be very odd. This is what they call “accuracy that can tear art”. In design, we can only say: If it looks right, let it be. Likewise, the Apple logo draws people in because it feels confusingly accurate when it’s not.