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Disk Pyramid Puzzle

Disk Pyramid Puzzle
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2016-03-09 07:44
SequenceSolid GeometryGeometric Construction
Turn the pyramid upside down with the fewest number of moves possible. Explore the minimum moves required for 2 rows, 3 rows, 4 rows, 5 rows, and 6 rows. This example demonstrates geometric transformations and sequences, using Circle and Sequence commands in GeoGebra. Suitable for middle school and above students to learn about geometric transformations and optimization problems.

GeoGebra Commands & Parameters

  1. Circle(A, disksize) → c
  2. Circle(A_1, disksize) → c_1
  3. Circle(A_2, disksize) → c_2
  4. Circle(A_3, disksize) → c_3
  5. Circle(A_4, disksize) → c_4
  6. Circle(A_5, disksize) → c_5
  7. Circle(A_6, disksize) → c_6
  8. Circle(A_7, disksize) → c_7
  9. Circle(A_8, disksize) → c_8
  10. Circle(A_9, disksize) → c_9
  11. Circle(A_{10}, disksize) → c_{10}
  12. Circle(A_{11}, disksize) → c_{11}
  13. Circle(A_{12}, disksize) → c_{12}
  14. Circle(A_{13}, disksize) → c_{13}
  15. Circle(A_{14}, disksize) → c_{14}
  16. Sequence(Sequence[(w, k), w, 0, widthadjuster], k, 0, heightadjuster) → grid
  17. Circle(A_{15}, disksize) → c_{15}
  18. Circle(A_{16}, disksize) → c_{16}
  19. Circle(A_{17}, disksize) → c_{17}
  20. Circle(A_{18}, disksize) → c_{18}
  21. Circle(A_{19}, disksize) → c_{19}
  22. Circle(A_{20}, disksize) → c_{20}

AI Drawing Prompt Reference

Draw a pyramid-shaped stack of disks with six layers, containing 1, 2, 3, 4, 5, and 6 disks respectively from bottom to top. Each disk should be the same size and stacked stably to form a pyramid.
The prompt above was compiled from the original drawing commands and is for reference only.