A study on Visual Patterns using the Characteristics of Prime Numbers

Abstract

Just as the exact value of the golden ratio is calculated by the quadratic formula, the fields of aesthetics and mathematics have existed in association with each other since ancient times. Most of the concepts of numbers are quantitative, but there are also many unpredictable sequences such as π, e, and prime numbers. Since the work of visualizing such an irregular sequence also includes unpredictable expectations, a completely new pattern form can be experienced through the visualization of irregular data. This study presented a prime pattern that visually expresses the progress of a prime number by minimizing unnecessary data in expressing a prime sequence. The prime pattern has the advantage of intuitively knowing the characteristics of prime numbers that do not have more than two consecutive prime numbers ending in the same number. And it provides patterns that can be applied to various design fields through overlapping or transformation.