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Jul 29, 2018 at 18:45 history edited Sebastien Palcoux CC BY-SA 4.0
Addition of two examples with (r,n) = (3,7), the second being a 90° rotation of the first.
Jul 29, 2018 at 10:43 history edited Sebastien Palcoux CC BY-SA 4.0
Replaced the example by two example for (n,r) = (3,2) and (4,3), the second having an Eulerian ordering but not the first.
Jul 29, 2018 at 10:43 comment added Sebastien Palcoux The example without Eulerian ordering (considered in the two above comments) was replaced by a 3 by 3 by 3 example. We also added a new 4 by 4 by 4 example having an Eulerian ordering.
Jun 3, 2018 at 12:38 history edited Sebastien Palcoux CC BY-SA 4.0
error fixed in code (result invariant, except computation time doubled)
May 31, 2018 at 14:03 history edited Sebastien Palcoux CC BY-SA 4.0
an example of partial Eulerian ordering of maximal length 11 + explanation why it cannot be completed.
May 31, 2018 at 3:48 history edited Sebastien Palcoux CC BY-SA 4.0
distribution -> combination (more usual terminology)
May 30, 2018 at 21:42 history edited Sebastien Palcoux CC BY-SA 4.0
sage code + brute-force search
May 30, 2018 at 21:10 comment added Sebastien Palcoux @GerhardPaseman: Yes, for an ordering "Eulerian" is stronger than "collinear". The collinear condition is of the form "$\forall i>1, \exists j<i$...", whereas the Eulerian condition is of the form "$\forall i>1, \forall j<i, \exists k<i$...". For a 2D grid, these two conditions are the same, but it is no more true for a 3D grid (and beyond).
May 30, 2018 at 19:41 comment added Gerhard Paseman This is different from collinear ordering, right? Because I see a (level by level) collinear ordering of your 4 by 4 by 4 example. Gerhard "Which Makes A Nice Puzzle" Paseman, 2018.05.30.
May 30, 2018 at 19:27 history asked Sebastien Palcoux CC BY-SA 4.0