Pi Revealed in a Pile of Toothpicks

Pi Revealed in a Pile of Toothpicks

The Coding Train via YouTube Direct link

Add a toothpick

13 of 24

13 of 24

Add a toothpick

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Classroom Contents

Pi Revealed in a Pile of Toothpicks

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  1. 1 Happy Pi Day 2023!
  2. 2 Introduce Buffon's Needle
  3. 3 Unpack the math
  4. 4 Let toothpick fall at an angle
  5. 5 The probability that the toothpick crosses the border
  6. 6 Uniform probability density function
  7. 7 Illustrate the probablity with a graph
  8. 8 Approximating the value of Pi
  9. 9 Calculating the area under the curve
  10. 10 Resources for Buffon's Needle
  11. 11 Start Coding
  12. 12 Draw vertical lines
  13. 13 Add a toothpick
  14. 14 Draw background in setup
  15. 15 We have to use the built-in value of Pi
  16. 16 Find the closest column
  17. 17 Determine if the toothpick intersects the column
  18. 18 Rotate the line relative to the y-axis
  19. 19 Draw the toothpick as a vertical line
  20. 20 Improve the visuals
  21. 21 Approximate the value of Pi using the probility that a toothpick intersects a column
  22. 22 Suggestions for variations
  23. 23 New Passenger Showcase page on the Coding Train website
  24. 24 Easter egg

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