Turil

I am for you

Pascal’s perspectives

the larger perspective, but still only 2D

Pascal’s triangle is a mathematical diagram that is created when you start at the top with one element (zero elements are there too, next to it and above it, but the zeros aren’t always shown in the diagram), and then divide that one element into two elements, which you show below the first one, and then divide those two elements into three elements, which you show below the two elements, and so on. In the process of division, though, you also combine the divided elements (the ones on the edge of the diagram get combined with zero, so they never increase).

I think it’s definitely easier to do than to describe. So look at that link, if you don’t already understand the process of generating the numbers in the triangle.

This process gives you a reasonable understanding of how things can combine and divide – contraction and expansion.

Once you’ve understood the basics of Pascal’s triangle, imagine standing on a giant sports field or court that has Pascal’s triangle painted onto it, in place of the usual goal lines and boundaries and such. Then imagine picking a place to stand and a direction to look, and noticing the patterns of numbers you see laid out in front of you. You might need a telescope to see all the numbers that go way out in that direction, since the triangle gets really big (infinite, actually, in some directions).

Of course, if you know anything about the delightful surprises of Pascal’s triangle, you know that the pattern that you see in any given direction is not only very different from the other patterns that you see in the other directions/vantage points, but that the pattern seen is also always meaningful and true to life, in some situation. You might see the ordinal numbers (1,2,3…), or just ones, or the “normal distribution” of statistics, or the Fibonacci sequence.

And each different perspective is useful. Each view is valuable. Each approach is helpful in some way. Each individual path is a part of the truth that makes up the whole…

This is life, the universe, and everything.

So stand where you are, or move somewhere else if you like, focus on what you’ve observed, and then describe the patterns of information that your senses have been presented with. In this way we will all get a more wholistic picture of the ultimate reality. Telling stories about our lives is what we are meant to do. Because we too are a true and valuable part of the process of contraction and expansion, as we divide (the process of editing our sensory data into a story) and combine (the process of sharing data/stories)…

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1 Comment»

  No matter who you are, or what you do, you fit in. « Turil wrote @

[…] You might also wish to see a previous post on Pascal’s triangle: Pascal’s Perspectives […]


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