Patterns

Name1D (line view, Y=value)2D (surface view, Z=value)3D (surface view, Z=time)
ConstantN/AN/A
CheckeredN/AN/A
CylindersN/AN/A
SpheresN/AN/A

Noise

In the order of "recommended to try first":

Name1D (line view, Y=value)2D (surface view, Z=value)3D (surface view, Z=time)4D (not renderered)
OpenSimplex2 noiseN/A
OpenSimplex2 noise (smooth falloff)N/AN/A
Simplex noise
Simplex noise (smooth falloff)N/AN/A
OpenSimplex2S noiseN/A
OpenSimplex2S noise (smooth falloff)N/AN/A
OpenSimplex noiseN/A
OpenSimplex noise (smooth falloff)N/AN/A
Perlin "Improved" noise
Value cubic noise
Value noise
Worley noise (Manhattan distance, F1)
Worley noise (Manhattan distance, F2)
Worley noise (Manhattan distance, F1 + F2)
Worley noise (Manhattan distance, F2 - F1)
Worley noise (Manhattan distance, F1 * F2)
Worley noise (Manhattan distance, F1 / F2)
Worley noise (Manhattan distance, cell value)
Worley noise (Euclidean distance, F1)
Worley noise (Euclidean distance, F2)
Worley noise (Euclidean distance, F1 + F2)
Worley noise (Euclidean distance, F2 - F1)
Worley noise (Euclidean distance, F1 * F2)
Worley noise (Euclidean distance, F1 / F2)
Worley noise (Euclidean distance, cell value)
Worley noise (Euclidean² distance, F1)
Worley noise (Euclidean² distance, F2)
Worley noise (Euclidean² distance, F1 + F2)
Worley noise (Euclidean² distance, F2 - F1)
Worley noise (Euclidean² distance, F1 * F2)
Worley noise (Euclidean² distance, F1 / F2)
Worley noise (Euclidean² distance, cell value)
Worley noise (Chebyshev distance, F1)
Worley noise (Chebyshev distance, F2)
Worley noise (Chebyshev distance, F1 + F2)
Worley noise (Chebyshev distance, F2 - F1)
Worley noise (Chebyshev distance, F1 * F2)
Worley noise (Chebyshev distance, F1 / F2)
Worley noise (Chebyshev distance, cell value)
Worley noise (Minkowski4 distance, F1)
Worley noise (Minkowski4 distance, F2)
Worley noise (Minkowski4 distance, F1 + F2)
Worley noise (Minkowski4 distance, F2 - F1)
Worley noise (Minkowski4 distance, F1 * F2)
Worley noise (Minkowski4 distance, F1 / F2)
Worley noise (Minkowski4 distance, cell value)

Fractals

Name1D2D (surface view, Z=value)3D (surface view, Z=time)4D (not renderered)
fBm (OpenSimplex2 noise)N/ATODON/A
fBm (Simplex noise)TODON/A
fBm (OpenSimplex2S noise)N/ATODON/A
fBm (OpenSimplex noise)N/ATODON/A
fBm (Perlin noise)TODON/A
fBm (Value cubic noise)TODON/A
fBm (Value noise)TODON/A
fBm (Worley noise)TODON/A
Billow (OpenSimplex2 noise)N/ATODON/A
Billow (Simplex noise)TODON/A
Billow (OpenSimplex2S noise)N/ATODON/A
Billow (OpenSimplex noise)N/ATODON/A
Billow (Perlin noise)TODON/A
Billow (Value cubic noise)TODON/A
Billow (Value noise)TODON/A
Billow (Worley noise)TODON/A
Multi (OpenSimplex2 noise)N/ATODON/A
Multi (Simplex noise)TODON/A
Multi (OpenSimplex2S noise)N/ATODON/A
Multi (OpenSimplex noise)N/ATODON/A
Multi (Perlin noise)TODON/A
Multi (Value cubic noise)TODON/A
Multi (Value noise)TODON/A
Multi (Worley noise)TODON/A
Hybrid (OpenSimplex2 noise)N/ATODON/A
Hybrid (Simplex noise)TODON/A
Hybrid (OpenSimplex2S noise)N/ATODON/A
Hybrid (OpenSimplex noise)N/ATODON/A
Hybrid (Perlin noise)TODON/A
Hybrid (Value cubic noise)TODON/A
Hybrid (Value noise)TODON/A
Hybrid (Worley noise)TODON/A
Ridged (OpenSimplex2 noise)N/ATODON/A
Ridged (Simplex noise)TODON/A
Ridged (OpenSimplex2S noise)N/ATODON/A
Ridged (OpenSimplex noise)N/ATODON/A
Ridged (Perlin noise)TODON/A
Ridged (Value cubic noise)TODON/A
Ridged (Value noise)TODON/A
Ridged (Worley noise)TODON/A