I tried running the code, and then turning the new code back into another chat-enabled prompt. After several iterations, I am now to this point, which still has errors:
Improve the following code to represent 4 tubular loxodromes plotted over the surface of two adjacent spheres. The surface area of the four tubular loxodromes equals the surface area of the two spheres. Make sure the tubular loxodromes are centered on the sphere's surface. Make each sphere and each loxodrome a different color. The final image should look like this image: https://sota.aetherwizard.com/images/Book/spin_2.jpg
fsc[r_, \[Theta]_, \[CurlyPhi]_] := {r*Cos[\[Theta]]*Sin[\[CurlyPhi]], r*Sin[\[Theta]]*Sin[\[CurlyPhi]], r*Cos[\[CurlyPhi]]};
sphereRadius = 13;
tubeRadius = sphereRadius^2 / (2 * Pi * sphereRadius);
l = 2 * Pi * sphereRadius * Sqrt[1 + Tan[45 Degree]^2]; (* Length of loxodromes *)
h1[t_] := t;
g1[t_] := t/l;
plot1 = ParametricPlot3D[
fsc[sphereRadius, g1[t], h1[t]], {t, 0, l},
PlotStyle -> Directive[Blue, Tube[tubeRadius]],
PlotRange -> All
];
plot2 = ParametricPlot3D[
fsc[sphereRadius, g1[t], -h1[t] + Pi], {t, 0, l},
PlotStyle -> Directive[Yellow, Tube[tubeRadius]],
PlotRange -> All
];
plot3 = ParametricPlot3D[
fsc[sphereRadius, g1[t] + Pi/2, h1[t]] + {2*sphereRadius, 0, 0}, {t, 0, l},
PlotStyle -> Directive[Cyan, Tube[tubeRadius]],
PlotRange -> All
];
plot4 = ParametricPlot3D[
fsc[sphereRadius, g1[t] + Pi/2, -h1[t] + Pi] + {2*sphereRadius, 0, 0}, {t, 0, l},
PlotStyle -> Directive[Magenta, Tube[tubeRadius]],
PlotRange -> All
];
Show[
Graphics3D[
{Opacity[.5], Red, Sphere[{0, 0, 0}, sphereRadius]},
{Opacity[.5], Green, Sphere[{2*sphereRadius, 0, 0}, sphereRadius]}
],
plot1,
plot2,
plot3,
plot4,
PlotLabel -> "Tubular Loxodromes on Spheres",
AxesLabel -> {"x", "y", "z"},
Axes -> True,
Boxed -> True,
ImageSize -> 400,
PlotLegends -> {"Sphere 1", "Sphere 2", "Loxodrome 1", "Loxodrome 2", "Loxodrome 3", "Loxodrome 4"}
]