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개념 기사 기사 작성법
내가 아는 수학개념을 쉽게 설명해주세요!
[개념 기사] QR코드에 수학적 원리가 숨겨져 있었다고?
로보카폴리 2020.03.10 20:53

사람에게는 자신을 나타내는 이름이 있습니다.

또한 사물에게도 자동으로 상품 정보를 읽을 수 있도록 하기 위해 만들어낸 코드인 바코드가 존재합니다.

하지만 사물이 점점 더 많아지면서 바코드가 표시할 수 있는 경우의 수보다 더 많아졌습니다.

그리하여 만들어진 것이 바로 'QR 코드' 입니다.

(출처: 내가 만들었기 때문에 없음...)

(스마트폰으로 이 바코드를 검색하면 폴리매스 화면으로 이동해요!)

 

일반적인 QR코드는 21*21 사이즈에 정사각형을 통해 만들어 집니다.

그렇다면 21*21은 441 이라는 작은 수인데 어떻게 그렇게 많은 정보들을 담을 수 있나고요?

비밀은 바로 2의 거듭제곱에 있습니다.

 

(출쳐:http://study.zum.com/book/13621)

2의 거듭제곱을 2를 여러번 곱한 수들을 의미합니다.

예를 들어 2,4,8,.. 이 있겠죠.

 

그런데 왜 QR코드가 2의 거듭제곱과 관련이 있냐고요?

QR코드를 잘 보시면 알 수 있는 것이 하나 있습니다.

바로 검은색과 흰색으로만 이루어져 있다는 것이죠.

 

그렇다면 441개의 칸을 검은색 또는 흰색으로 칠하는 가짓수는 몇가지일까요?

그값은 무려 2441 이라는 굉장히 큰 수입니다.(원래 계산기로 계산해보려고도 했고 

프로그램으로라도 계산해보려고 했으나 숫자가 너무 커서 계산을 못했어요..)

 

이처럼 QR코드는 2의 거듭제곱이라는 멋진 방법으로 많은 경우의 수를 표현할 수 있습니다.

 

오늘의 퀴즈>>

제가 만든 QR코드 버젼 2는 가로 8 세로 8의 정사각형으로 이루어져 있습니다.

그리고 특이하게더 하얀색,검은색,노락색 이렇게 세개의 색으로 이루워져 있습니다.

그렇다면 QR코드가 만들어 질 수 있는 가짓수는 몇가지 일까요??

 

____________________________________________끝___________________________________________

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