A consideration on Buffon’s needle problem

Although there are many delicate tasks performed by the fingertips, such as a famous doctor’s scalpel treatment, calligrapher’s brushwork, and craftsman’s delicate work, there are few evaluation methods in those fields. In this study, evaluations are performed using “Buffon’s needle problem,” and the important factor is the random drop of a needle held by the fingertips. It is generally known that an approximate value of pi (circle ratio) can be found using Buffon’s needle problem. Therefore, the approximation of pi by a needle dropped at random is calculated, and the closer the approximation is to true pi, the higher the accuracy of randomly dropping the needle held by the tip of a finger is judged to be. The purpose of this paper is to clarify the characteristics of “randomly dropping a needle held by the fingertips’’ using Buffon’s needle problem. Computer simulations and actual experiments with a subject are performed in this study. And, the accuracy of randomly dropping the needle held at the fingertip is improved.