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Garrett Maruyama

Explore the inherent relationship between triangular, square, and cube numbers and how they relate to the Mayan temples. Discover the mathematical patterns and connections behind these numbers and their significance in Mayan mathematics and architecture.

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Garrett Maruyama

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  1. Garrett Maruyama Math 101 Project

  2. Triangular, Square, and Cube Numbers and Their Inherent Relationship to the Mayan Temples

  3. Triangular Numbers

  4. Triangular Number Sequence • 1,3,6,10,15,21,28….. .Tn

  5. Cont.

  6. Cont.

  7. Square Numbers

  8. Square Numbers

  9. Squares Cont. -Any square number is the sum of two consecutive triangular numbers.

  10. Squares Cont.

  11. Cube Numbers • The difference between the squares of two consecutive triangular numbers is a cube.

  12. Kukulkan Mayan Ruins

  13. Aerial View

  14. x.8

  15. x.6

  16. x.4

  17. Side View

  18. Mayan Math System -What we know of the Mayan math system is simple.

  19. Mayan Achievements -Written Language -Studied Astronomy -Devised Calendars based on 365 - days -Calculated the lengths of years for other planets such as Venus and Mercury -Stone cutting -Aqueduct agriculture -Architecture

  20. Review • The sum of two consecutive triangular numbers is a….? Square

  21. Review: -The difference between two consecutive squared triangular numbers is a ….? Cube

  22. Review: -What was the name of the Mayan temple..? Kukulkan

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