graphics3d - sluggish 3D graphics

After I plot two concentric cylinder, I see that rotating the 3d object is not smooth and it's slow.

R1[i_] := {20.0*Cos[(2 Pi)/20 i], 20.0*Sin[(2 Pi)/20 i] , 6.0*(IntegerPart[i/(20 + 0.0000001)] + 1)};
R2[i_] := {30.0*Cos[(2 Pi)/20 i], 30.0*Sin[(2 Pi)/20 i] , 6.0*(IntegerPart[i/(20 + 0.0000001)] + 1)};



q1 = Graphics3D[Map[{Red, Sphere[#, 1.0]} &, Chop@Table[R1[i], {i, 1, 500}]]];
q2 = Graphics3D[Map[{Blue, Sphere[#, 1.0]} &, Chop@Table[R2[i], {i, 1, 500}]]];
Show[{q1, q2}]

Is there a way to make the rotation and interaction with the plot smoother and faster? Antialiasing -> False doesn't work on Graphics3D.

Answer

Your example works smoothly for me, but there are at least two ways to try faster rendering (possibly in combination):

1) Decrease the SpherePoints size (related post here, choose a value to your liking):

Show[{q1, q2}, Method -> {"SpherePoints" -> 3}]

Mathematica graphics

2) Use multi-primitive syntax:

q1 = Graphics3D[{Red, Sphere[Chop@Table[R1[i], {i, 1, 500}], 1.0]}];
q2 = Graphics3D[{Blue, Sphere[Chop@Table[R2[i], {i, 1, 500}], 1.0]}];
Show[{q1, q2}]

Finally, you may have suboptimal rendering presets (e.g. using software rendering). You can check with the options inspector (as described e.g. here).

Comments

plotting - Filling between two spheres in SphericalPlot3D

Manipulate[ SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, Mesh -> None, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], {n, 0, 1}] I cant' seem to be able to make a filling between two spheres. I've already tried the obvious Filling -> {1 -> {2}} but Mathematica doesn't seem to like that option. Is there any easy way around this or ... Answer There is no built-in filling in SphericalPlot3D . One option is to use ParametricPlot3D to draw the surfaces between the two shells: Manipulate[ Show[SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], ParametricPlot3D[{ r {Sin[t] Cos[1.5 Pi], Sin[t] Sin[1.5 Pi], Cos[t]}, r {Sin[t] Cos[0 Pi], Sin[t] Sin[0 Pi], Cos[t]}}, {r, 1, 2 - n}, {t, 0, Pi}, PlotStyle -> Yellow, Mesh -> {2, 15}]], {n, 0, 1}]

plotting - Plot 4D data with color as 4th dimension

I have a list of 4D data (x position, y position, amplitude, wavelength). I want to plot x, y, and amplitude on a 3D plot and have the color of the points correspond to the wavelength. I have seen many examples using functions to define color but my wavelength cannot be expressed by an analytic function. Is there a simple way to do this? Answer Here a another possible way to visualize 4D data: data = Flatten[Table[{x, y, x^2 + y^2, Sin[x - y]}, {x, -Pi, Pi,Pi/10}, {y,-Pi,Pi, Pi/10}], 1]; You can use the function Point along with VertexColors . Now the points are places using the first three elements and the color is determined by the fourth. In this case I used Hue, but you can use whatever you prefer. Graphics3D[ Point[data[[All, 1 ;; 3]], VertexColors -> Hue /@ data[[All, 4]]], Axes -> True, BoxRatios -> {1, 1, 1/GoldenRatio}]

plotting - Adding a thick curve to a regionplot

Suppose we have the following simple RegionPlot: f[x_] := 1 - x^2 g[x_] := 1 - 0.5 x^2 RegionPlot[{y < f[x], f[x] < y < g[x], y > g[x]}, {x, 0, 2}, {y, 0, 2}] Now I'm trying to change the curve defined by $y=g[x]$ into a thick black curve, while leaving all other boundaries in the plot unchanged. I've tried adding the region $y=g[x]$ and playing with the plotstyle, which didn't work, and I've tried BoundaryStyle, which changed all the boundaries in the plot. Now I'm kinda out of ideas... Any help would be appreciated! Answer With f[x_] := 1 - x^2 g[x_] := 1 - 0.5 x^2 You can use Epilog to add the thick line: RegionPlot[{y < f[x], f[x] < y < g[x], y > g[x]}, {x, 0, 2}, {y, 0, 2}, PlotPoints -> 50, Epilog -> (Plot[g[x], {x, 0, 2}, PlotStyle -> {Black, Thick}][[1]]), PlotStyle -> {Directive[Yellow, Opacity[0.4]], Directive[Pink, Opacity[0.4]],

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