3 added 6 characters in body

I would like to make density plots of a list of (size 2 or 3) spherical harmonics on the surface of a sphere. I'd like to plot it so that each element of that list is using a different color (red density plot for the first one, blue for the next, green... and so on)

I tried using ColorFunction like ColorFunction like

SphericalPlot3D[1, {θ, 0, Pi}, {ϕ, 0, 2 Pi},
ColorFunction ->
Function[{x, y, z, θ, ϕ, r},
RGBColor[Abs[SphericalHarmonicY[1, 1, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, 0, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, -1, θ, ϕ]]^2]]]


But but all I get is some dark-green sphere. Is there a function like SphericalDensityPlot so SphericalDensityPlot so that I can illustrate the functions?

Also, a big problem I'm running into is the ambient lighting direction, which interferes with what its it's supposed to look like.

I would like to make density plots of a list of (size 2 or 3) spherical harmonics on the surface of a sphere. I'd like to plot it so that each element of that list is using a different color (red density plot for the first one, blue for the next, green.. and so on)

I tried using ColorFunction like

SphericalPlot3D[1, {θ, 0, Pi}, {ϕ, 0, 2 Pi},
ColorFunction ->
Function[{x, y, z, θ, ϕ, r},
RGBColor[Abs[SphericalHarmonicY[1, 1, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, 0, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, -1, θ, ϕ]]^2]]]


But all I get is some dark-green sphere. Is there a function like SphericalDensityPlot so that I can illustrate the functions?

Also, a big problem I'm running into is the ambient lighting direction, which interferes with what its supposed to look like.

I would like to make density plots of a list of (size 2 or 3) spherical harmonics on the surface of a sphere. I'd like to plot it so that each element of that list is using a different color (red density plot for the first one, blue for the next, green... and so on)

I tried using ColorFunction like

SphericalPlot3D[1, {θ, 0, Pi}, {ϕ, 0, 2 Pi},
ColorFunction ->
Function[{x, y, z, θ, ϕ, r},
RGBColor[Abs[SphericalHarmonicY[1, 1, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, 0, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, -1, θ, ϕ]]^2]]]


but all I get is some dark-green sphere. Is there a function like SphericalDensityPlot so that I can illustrate the functions?

Also, a big problem I'm running into is the ambient lighting direction, which interferes with what it's supposed to look like.

2 added 21 characters in body

I would like to make density plots of a list of (size 2 or 3) spherical harmonics on the surface of a sphere. I'd like to plot it so that each element of that list is using a different color (red density plot for the first one, blue for the next, green.. and so on)

I tried using ColorFunction like

SphericalPlot3D[1, {θ, 0, Pi}, {Φ, 0, 2 Pi}, ColorFunction -> Function[{x, y, z, θ, Φ, r}, RGBColor[Abs[SphericalHarmonicY[1, 1, θ, Φ]]^2, Abs[SphericalHarmonicY[1, 0, θ, Φ]]^2, Abs[SphericalHarmonicY[1, -1, θ,Φ]]^2]]]

SphericalPlot3D[1, {θ, 0, Pi}, {ϕ, 0, 2 Pi},
ColorFunction ->
Function[{x, y, z, θ, ϕ, r},
RGBColor[Abs[SphericalHarmonicY[1, 1, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, 0, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, -1, θ, ϕ]]^2]]]


But all I get is some dark-green sphere. Is there a function like SphericalDensityPlot so that I can illustrate the functions?

Also, a big problem I'm running into is the ambient lighting direction, which interferes with what its supposed to look like.

I would like to make density plots of a list of (size 2 or 3) spherical harmonics on the surface of a sphere. I'd like to plot it so that each element of that list is using a different color (red density plot for the first one, blue for the next, green.. and so on)

I tried using ColorFunction like

SphericalPlot3D[1, {θ, 0, Pi}, {Φ, 0, 2 Pi}, ColorFunction -> Function[{x, y, z, θ, Φ, r}, RGBColor[Abs[SphericalHarmonicY[1, 1, θ, Φ]]^2, Abs[SphericalHarmonicY[1, 0, θ, Φ]]^2, Abs[SphericalHarmonicY[1, -1, θ,Φ]]^2]]]

But all I get is some dark-green sphere. Is there a function like SphericalDensityPlot so that I can illustrate the functions?

Also, a big problem I'm running into is the ambient lighting direction, which interferes with what its supposed to look like.

I would like to make density plots of a list of (size 2 or 3) spherical harmonics on the surface of a sphere. I'd like to plot it so that each element of that list is using a different color (red density plot for the first one, blue for the next, green.. and so on)

I tried using ColorFunction like

SphericalPlot3D[1, {θ, 0, Pi}, {ϕ, 0, 2 Pi},
ColorFunction ->
Function[{x, y, z, θ, ϕ, r},
RGBColor[Abs[SphericalHarmonicY[1, 1, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, 0, θ, ϕ]]^2,
Abs[SphericalHarmonicY[1, -1, θ, ϕ]]^2]]]


But all I get is some dark-green sphere. Is there a function like SphericalDensityPlot so that I can illustrate the functions?

Also, a big problem I'm running into is the ambient lighting direction, which interferes with what its supposed to look like.

1

# Density plot on the surface of sphere

I would like to make density plots of a list of (size 2 or 3) spherical harmonics on the surface of a sphere. I'd like to plot it so that each element of that list is using a different color (red density plot for the first one, blue for the next, green.. and so on)

I tried using ColorFunction like

SphericalPlot3D[1, {θ, 0, Pi}, {Φ, 0, 2 Pi}, ColorFunction -> Function[{x, y, z, θ, Φ, r}, RGBColor[Abs[SphericalHarmonicY[1, 1, θ, Φ]]^2, Abs[SphericalHarmonicY[1, 0, θ, Φ]]^2, Abs[SphericalHarmonicY[1, -1, θ,Φ]]^2]]]

But all I get is some dark-green sphere. Is there a function like SphericalDensityPlot so that I can illustrate the functions?

Also, a big problem I'm running into is the ambient lighting direction, which interferes with what its supposed to look like.