Comments by "" (@willemvandebeek) on "Mathologer"
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@Mathologer , are you sure? If you follow the 3 dimensional diagonal of the box (instead of the 2 dimensional diagonal of the box's surface), then there should only be one option left to create a new box to cut out of the rectangular box, because those 3D diagonals have to connect subsequentially. If you pause the video at 19:00, then you can follow the 3D diagonal from box to box, starting with the:
Yellow box, the diagonal starts in the far right bottom corner and goes to the far left top corner, which connects to the ->
Green box, at the far top hind corner, whose 3D diagonal connects to the far bottom front corner, which connects to the ->
Purple box, at the far left bottom corner, whose 3D diagonal connects to the far right top corner, which connects to the ->
Red box, at the far right bottom corner, whose 3D diagonal connects to the far left top corner, which does not connect to the ->
Blue box, because the 2D diagonals of the box's surface for the "folded golden spiral" were followed, which I seriously doubt is correct, since every odd quarter circle is contained within a rectangle and not a square like in the 2D golden spiral of the left image at frame 20:45 of the video...
There should only be one 3D golden spiral within these boxes and I bet Freya Holmer ( @acegikmo ) can make a great visualisation out of it with her Bezier splines https://youtu.be/jvPPXbo87ds in unity. :)
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