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- Jun 1, 2014
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The reason I joined this forum (and a couple of others) is: I wanted to do a painting of spirals, and as I was envisioning a 3D spiral, I couldn't see it right in my mind, it was too complex. So, using the Fibonacci sequence, and altering the numbers to account for a third dimension, I came up with this: starting at 0, the arc of the spiral goes to the opposite corner of the cube each time. The cubes are a dimension of 1, 1, 2, 3, 5 etc.
Fib. Number: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...
x axis: 1, 2, 0, -3, 2, 10, -3, -24, 10, 65, -24, -168...
y axis: 1, 0, -2, 1, 6, -2, -15, 6, 40, -15, -104, 40...
z axis: 1, 0, 2, -1, 4, -4, 9, -12, 22, -33, 56, -88...
I came up with these by imagining an arc going from one corner of the cube to the opposite corner, like the arc in a Fibonacci goes from one corner of the square to the opposite corner.
I'm not a mathematician, I'm an artist, so I don't know if this is new stuff, or has any value, in math or physics or anywhere. Let me know if this is new. Thanks.
Fib. Number: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...
x axis: 1, 2, 0, -3, 2, 10, -3, -24, 10, 65, -24, -168...
y axis: 1, 0, -2, 1, 6, -2, -15, 6, 40, -15, -104, 40...
z axis: 1, 0, 2, -1, 4, -4, 9, -12, 22, -33, 56, -88...
I came up with these by imagining an arc going from one corner of the cube to the opposite corner, like the arc in a Fibonacci goes from one corner of the square to the opposite corner.
I'm not a mathematician, I'm an artist, so I don't know if this is new stuff, or has any value, in math or physics or anywhere. Let me know if this is new. Thanks.