Le vendredi 17 mai 2019 05:35:54 UTC+2, saad khalid a écrit : > > Hi everyone: > > I'm trying to using Sage's plot functionality to plot the honeycomb > lattice: > > https://sites.google.com/site/makingplots4scipurposes/_/rsrc/1456789513003/gnuplot-samples-of-2d-lattices/honeycomb.png > > Plotting the honeycomb lattice is slightly different from plotting a > simple (like a square) lattice, as each site is technically two points, > with a basis vector pointing from one point to the other within a single > site. So you take your two lattice vectors and start from some point and > generate all possible points from those lattice vectors. Then you go back > to your starting point, shift by the basis vector, and then generate all > possible points from there using the lattice vector, and then you add these > two sets of points together to get the honeycomb lattice. I've figured out > how to do it using points at the corner of each hexagon, like this: > list_plot(flatten([[a*vector([sqrt(3)/2,1/2]) + b*vector([sqrt(3)/2,-1/2]) > for a in (0..30)] for b in (0..30)] + [[a*vector([sqrt(3)/2,1/2]) + b* > vector([sqrt(3)/2,-1/2]) + vector([-1/sqrt(2),0]) for a in (0..30)] for b > in (0..30)])) > > However, I was hoping to do this with lines outlining the hexagons as > shown in the linked image. Would anyone know of a way to do this? Thanks! >
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