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How to plot all points that are defined by $(4\kappa+2(\lambda\mod2), \ 2\lambda\sqrt 3)$ for some $\kappa$ and $\lambda$ that are integers in Wolfram Alpha? I just want to know what this set of points looks like (I need it to understand a research paper). Thank you.

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  • $\begingroup$ Is this a mapping from $(\lambda, \kappa)\to (f(\lambda,\kappa), g(\lambda, \kappa))$? $\endgroup$ – caverac Apr 26 '18 at 23:37
  • $\begingroup$ @caverac I guess $\endgroup$ – YohanRoth Apr 27 '18 at 0:13
  • $\begingroup$ In that case you need to be more specific, are you looking for a particular domain? $\endgroup$ – caverac Apr 27 '18 at 0:44
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I would not use Wolfram|Alpha. Use a Wolfram Cloud Sandbox command similar to ListPlot[Table[{4 k + 2 Mod[n,2], 2 n Sqrt[3]}, {k,-3,3}, {n,-4,4}]]

The points form a Hexagonal lattice in the plane which determines a tiling by equilateral triangles.

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