#3d plot

(The bronze-, gold- and silver- coloured lines are not on the sheet of paper of the drawing, but on the foil around the paper: )

Golden ratio:

Throwing the 3D thing into a coordinate system grid:

[3D plot in a 3D coordinate system]

[3 2D-projections: (xy xz yz)]

[Crafting a foldable grid of the 3 2D-projections:]

[The folded grid resembling a 3D coordinate system:

I played around with a simple magic square and the Lo-shu-technique - and I recognized a simple pattern:

- The average value of this magic square is at the center [5]

- The sum of each row and column and diagonal is 15 - 3 times the 'average' in this case.

There also appear 'symmetries' - see the violet writing: 4 [1 less than 5] and 6 [1 more than 5] - as well as the other colors: blue [ 3 [2 less than 5] and 7 [2more than 5]... etc...

somehow this rather unconventional and dreamy mind wandering led me to drawing this tiny 3D plot...

Two 2D perspectives of a 3D plot of a motion of a ball on a string with alternating string length - shaping a motion track like a distorted "8"...

I am not finished. It's a rough sketch/doodle...It may have errors as well.

How it started:

I randomly scribbled some (2D) triquetras to depict some concepts for another project I am working on:

[Just ignore the written stuff in the photo.] I actually drew it as 2D. Yet I imagined this/a similar thing as 3D:

This was the result:

I attempted to depict the 2D projections of that 3D plotted manifold as well.

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Math that is art, and art that is math