When it comes to the mathematics of design, it must be the golden ratio.
The fascinating thing about the golden ratio lies more in the exquisite combination of mathematics and aesthetics, and 0.618 has become the standard for famous paintings, sculptures, and photographic works.
After extensive research and analysis, botanists have also found that the angle between the two leaf stalks of some plants is 137.5°, which happens to divide the circumference into 1:0.618.
And according to the research, this angle has a good effect on the ventilation and lighting of the plants.
The golden ratio itself is an irrational number, which conforms to the law of least resonance.
It can also be found that buildings that meet the golden ratio can generally survive earthquakes because the resonance caused by earthquakes is not large.
Does the design require a mathematical foundation? No mathematical foundation, you can't understand the design! Tokyo 2020 emblem design revealed!
Three groups of rectangles and diamonds
How are the three blue rectangles of different sizes arranged?
In fact, after finding the symmetry, we treat each rectangular block as an independent entity, and draw parallelograms with equal circumferences for the outside of each rectangular block (each side needs to be in contact with the four corners of the rectangular box).
When you finish drawing, you will notice that the ring-shaped emblem has become a regular dodecagonal shape.
This regular dodecagonal shape is made up of three diamonds: a square, an inner angle of 60° and 120°, and an inner angle of 30° and 150°.
If you want to put these three diamonds together, no matter how many diamonds you put together, the final sum of angles must be 360°.
You can use four squares; In short, you can make up for 360°
This is where the blue "pine leaves" in the emblems of the Tokyo Olympics and Paralympics are hidden.
Infinite permutations and combinations
Some netizens calculated through the program that if the same number of diamonds is used to inlay the emblem of the Tokyo Olympics and the Paralympic Games, there are 539968 and 3357270 ways to arrange them respectively. Using these diamonds, you can design more possible combinations.
Pilot project: A set of posters was designed for these events.
Although the elements are one, through the combination and variation of mathematics, different posters were designed for the competition for 33 categories, 46 events, and 339 medals at the Tokyo 2020 Olympic Games.
The same graphics are graded and repeated in an attempt to highlight the Olympic logo and sports icons in the most minimalist shape, and the poster color is inspired by the red color of the Tokyo Olympics website.
These posters are simple and varied, full of graphics, and use a teaching material that can be called graphic design!
See more posters and applications.