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  1. Jan 9
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  2. 30 Dec 2019
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    Ok, I think this one is topologically different. Highly distorted angles, but still all hexahedra, meeting face to face.

  3. 30 Dec 2019

    If you don't care about angles, one option is like this:

  4. 23 Dec 2019
  5. 23 Dec 2019
  6. 23 Dec 2019
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    Here's another way of showing it for N=3. View full size to see the grids

  7. 23 Dec 2019
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    The squares of the tilted/scaled grid which contain N points of the unit grid are shaded (below a zoom in for N=11). Some combinations of angle/scale produce these interesting *almost* repeating patterns

  8. 23 Dec 2019
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    Here the squares containing 11 points

  9. 23 Dec 2019
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    The patterns that show up in imperfect solutions are quite fascinating - here's a scaled and rotated grid with all the squares containing 7 points from the lattice shaded

  10. 22 Dec 2019
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    ...and here's one where they all contain 5 Does a grid like this exist for 3? or 7?

  11. 22 Dec 2019
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    Here's one where *most* of the squares contain 5 points of the lattice

  12. 22 Dec 2019

    I wonder about the case with not just a single square but a grid where each square contains N points of the lattice?

  13. 18 Dec 2019
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    I see - I would like to improve the way it handles hard constraints + make it easier to set up so they are enforced strictly at all stages of the movement + better feedback given when overconstrained. Accurate linkage simulation is already possible now with right setup though:

  14. 18 Dec 2019
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    What error? I think Kangaroo works quite well for linkages already. I'm interested to hear about where you see the limitations.

  15. 17 Dec 2019
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    You might like this article by Johannes Schönke and Eliot Fried:

  16. 17 Dec 2019
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  17. 13 Dec 2019
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  18. 12 Dec 2019
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  19. 11 Dec 2019

    Here's what I get by changing the initial position of one mass a tiny amount:

  20. 11 Dec 2019

    reading more about this-found lots of nice work on planar case (including this notebook from ). Also learned of free-fall orbits where they all start at rest and oscillate on an open curve Still not finding much about non-planar orbits though.

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