Visualizing Pascal’s Triangle modulo n

Here’s a picture of Pascal’s Triangle where each black cell represents an even element and where each white cell represents an odd element. Pascal’s Triangle begins to look a lot like the Sierpinski Triangle!

It’s especially interesting to see where the rows of all odd elements are.

Below are representations of Pascal’s Triangle highlighting different multiples (3 through 8). All of them except for the multiples of 7 seem to have the potential to show some fractal-like properties.

3 thoughts on “Visualizing Pascal’s Triangle modulo n

  1. Casey

    Isn’t the multiples of 7 triangle also fractal-like (outside the field of vision)?
    ie. Wouldn’t the 50th row be completely black, except for the first and last cell?

  2. Pingback: Visualizing Pascal’s Triangle with Candy | Math 老师

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