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Nicomachus's Theorem Demonstration
door jeffgus
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This was one of the first models I attempted to design in order to demonstrate the Nicomachus's theorem from number theory. It states that the sum of the cubes of the first N integers equals the square of the sum of those same integers. (eg 1^3 + 2^3+ 3^3 + ... N^3 = (1 + 2 + 3 + ... N)^2 ). For more detail see the wikipedia page, https://en.wikipedia.org/wiki/Squared_triangular_number .
I want to build more models like this which allow students to have a visual and tactile interaction with interesting mathematical relationships to hopefully foster greater interest in this important field.
The complete set requires one of each cube file, as well as the following square and half-square files:
- 1 square 1 model (Identical to cube 1)
- 1 square full 2
- 2 square half 2
- 3 square 3
- 3 square full 4
- 2 square half 4
- 5 square 5
I want to build more models like this which allow students to have a visual and tactile interaction with interesting mathematical relationships to hopefully foster greater interest in this important field.
The complete set requires one of each cube file, as well as the following square and half-square files:
- 1 square 1 model (Identical to cube 1)
- 1 square full 2
- 2 square half 2
- 3 square 3
- 3 square full 4
- 2 square half 4
- 5 square 5
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