I saw a similar animation and I had to recreate it! The code is quite easy:

ClearAll[HexColumn,CellDistance,MakeFigure]
hx={{1,1/2},{0,Sqrt[3]/2}};
CellDistance[p1_,p2_]:=Module[{dx,dy},
    {dx,dy}=p1-p2;
    If[Sign[dx]==Sign[dy],Abs[dx+dy],Max[Abs[dx],Abs[dy]]]
]
HexColumn[p:{x_,y_},l_]:=Module[{cap,sides},
    cap=CirclePoints[p,{1/Sqrt[3],\[Pi]/2},6];
    cap={Append[l/2]/@cap,Append[-l/2]/@cap};
    sides=Partition[#,2,1,1]&/@cap;
    sides[[2]]=Reverse/@sides[[2]];
    sides=Join@@@Transpose[sides];
    {Polygon[cap],Polygon[sides]}
]
MakeFigure[t_]:=Module[{pts,heights},
    pts=N@Tuples[Range[-25,25],2];
    pts=Select[pts,CellDistance[{0,0},#]<12&];
    pts=hx.#&/@pts;
    heights=12+3.5Sin[0.9Norm[#]-t]&/@pts;
    Graphics3D[{EdgeForm[],MapThread[HexColumn,{pts,heights}]},Boxed->False,ViewPoint->{0, -2,1.5},
    Lighting->{{"Directional",Darker[,0.1],ImageScaled[{0,2,2}]},{"Directional",Darker[,0.1],ImageScaled[{-2,-2,0}]},{"Directional",Darker[,-0.1],ImageScaled[{2,-2,0}]}},
    ImageSize->{400,400},
    PlotRange->{{-12,12},{-12,12},{-9,9}},
    Background->White
    ]
]
SetDirectory[NotebookDirectory[]];
imgs=Table[Rasterize[MakeFigure[\[Tau]],"Image",RasterSize->400],{\[Tau],Subdivide[0,2\[Pi],45]//Most}];
Export["out.gif",imgs,"DisplayDurations"->1/40.0]