WEB-REPORT | |||||||||||

Authentication: We declare that the web-report is our own work and does not contain plagiarised material | |||||||||||

Group | 8-07 | ||||||||||

Project Title | The Buffon's Needle Problem | ||||||||||

Synopsis | Look at floor patterns in everyday life. Have you ever wondered what is the chance that a coin will land on the floor tile lines? The Buffon's Needle Problem investigates this concept, but specifically dropping straight needles on parallel strips of lines and finding the probability that it would cross the line. We got inspiration from videos online when we saw that the obtained formula involved pi and realised that this problem had potential for extensions. Proposed by Georges-Louis Leclerc, Comte de Buffon in 1777, it was the first geometric probability question to be solved using integral geometry. However, our group has researched on the simpler alternative, known as Barbier's Solution. What is Barbier's solution and how does it solve the problem? What are the possible extensions we can add to the problem with using trigonometry and calculus? How do we create a computer programme to compare simulated results with our formulas to check for their accuracy? Throughout the year, our group has been thinking of these questions and now we present our findings. |
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Link to start page | Click HERE to access web-report | ||||||||||

Special
instructions for evaluator to take note |
NIL | ||||||||||

Team Members (Names & Classes) |
Group Leader: | ||||||||||

ONG EUGENE (1A2) | |||||||||||

Group Member/s: | |||||||||||

PHUA JUN KAI (1A2) | |||||||||||

WU CHENGYE (1A2) | |||||||||||

LIM YI LIN (1O1) | |||||||||||