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Patterns

Name1D (line view, Y=value)2D (surface view, Z=value)3D (surface view, Z=time)
Constant[
](assets/algorithms/constant_1d_full.png)N/AN/A
CheckeredN/A[
](assets/algorithms/checkered_2d_full.png)N/A
CylindersN/A[
](assets/algorithms/cylinders_2d_full.png)N/A
SpheresN/AN/A[
](https://www.youtube.com/watch?v=SMp71xTHnDM)

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[
](assets/algorithms/opensimplex2_2d_full.png)[
](https://www.youtube.com/watch?v=dvs9FztpG4I)
OpenSimplex2 noise (smooth falloff)N/AN/A[
](https://www.youtube.com/watch?v=om2yQGZqbGU)
Simplex noise[
](assets/algorithms/simplex_1d_full.png)[
](assets/algorithms/simplex_2d_full.png)[
](https://www.youtube.com/watch?v=-kcvv0QZKxM)
Simplex noise (smooth falloff)N/AN/A[
](https://www.youtube.com/watch?v=2fTezwHGY_g)
OpenSimplex2S noiseN/A[
](assets/algorithms/opensimplex2s_2d_full.png)[
](https://www.youtube.com/watch?v=7Ld2-UIoYCs)
OpenSimplex2S noise (smooth falloff)N/AN/A[
](https://www.youtube.com/watch?v=fs0zFzc55l4)
OpenSimplex noiseN/A[
](assets/algorithms/opensimplex_2d_full.png)[
](https://www.youtube.com/watch?v=uc7m8gDwsWQ)
OpenSimplex noise (smooth falloff)N/AN/A[
](https://www.youtube.com/watch?v=hrBqbxaegmU)
Perlin "Improved" noise[
](assets/algorithms/perlin_1d_full.png)[
](assets/algorithms/perlin_2d_full.png)[
](https://www.youtube.com/watch?v=kn13KxWq9Y8)
Value cubic noise[
](assets/algorithms/value_cubic_1d_full.png)[
](assets/algorithms/value_cubic_2d_full.png)[
](https://www.youtube.com/watch?v=ki38XRuHRDs)
Value noise[
](assets/algorithms/value_1d_full.png)[
](assets/algorithms/value_2d_full.png)[
](https://www.youtube.com/watch?v=MJTHfLQqar0)
Worley noise (Manhattan distance, F1)[
](assets/algorithms/worley_1d_f1_full.png)[
](assets/algorithms/worley_2d_manhattan_f1_full.png)[
](https://www.youtube.com/watch?v=cFqzVXms8m4)
Worley noise (Manhattan distance, F2)[
](assets/algorithms/worley_1d_f2_full.png)[
](assets/algorithms/worley_2d_manhattan_f2_full.png)[
](https://www.youtube.com/watch?v=KRTVNzS81Vk)
Worley noise (Manhattan distance, F1 + F2)[
](assets/algorithms/worley_1d_add_full.png)[
](assets/algorithms/worley_2d_manhattan_add_full.png)[
](https://www.youtube.com/watch?v=0hfeXmizaSY)
Worley noise (Manhattan distance, F2 - F1)[
](assets/algorithms/worley_1d_sub_full.png)[
](assets/algorithms/worley_2d_manhattan_sub_full.png)[
](https://www.youtube.com/watch?v=6SBMZ8urrHU)
Worley noise (Manhattan distance, F1 * F2)[
](assets/algorithms/worley_1d_mul_full.png)[
](assets/algorithms/worley_2d_manhattan_mul_full.png)[
](https://www.youtube.com/watch?v=e_ansrAbe6Y)
Worley noise (Manhattan distance, F1 / F2)[
](assets/algorithms/worley_1d_div_full.png)[
](assets/algorithms/worley_2d_manhattan_div_full.png)[
](https://www.youtube.com/watch?v=HCGyPX1I-SQ)
Worley noise (Manhattan distance, cell value)[
](assets/algorithms/worley_1d_value_full.png)[
](assets/algorithms/worley_2d_manhattan_value_full.png)[
](https://www.youtube.com/watch?v=5Yk9wamkP_w)
Worley noise (Euclidean distance, F1)[
](assets/algorithms/worley_1d_f1_full.png)[
](assets/algorithms/worley_2d_euclidean_f1_full.png)[
](https://www.youtube.com/watch?v=5G0SvGcmt8s)
Worley noise (Euclidean distance, F2)[
](assets/algorithms/worley_1d_f2_full.png)[
](assets/algorithms/worley_2d_euclidean_f2_full.png)[
](https://www.youtube.com/watch?v=F15V3dlX0Gc)
Worley noise (Euclidean distance, F1 + F2)[
](assets/algorithms/worley_1d_add_full.png)[
](assets/algorithms/worley_2d_euclidean_add_full.png)[
](https://www.youtube.com/watch?v=4-BEzQCP7Vw)
Worley noise (Euclidean distance, F2 - F1)[
](assets/algorithms/worley_1d_sub_full.png)[
](assets/algorithms/worley_2d_euclidean_sub_full.png)[
](https://www.youtube.com/watch?v=L3J3SyhejDQ)
Worley noise (Euclidean distance, F1 * F2)[
](assets/algorithms/worley_1d_mul_full.png)[
](assets/algorithms/worley_2d_euclidean_mul_full.png)[
](https://www.youtube.com/watch?v=J4DbR7OPtfU)
Worley noise (Euclidean distance, F1 / F2)[
](assets/algorithms/worley_1d_div_full.png)[
](assets/algorithms/worley_2d_euclidean_div_full.png)[
](https://www.youtube.com/watch?v=VvrrFqFMyfU)
Worley noise (Euclidean distance, cell value)[
](assets/algorithms/worley_1d_value_full.png)[
](assets/algorithms/worley_2d_euclidean_value_full.png)[
](https://www.youtube.com/watch?v=QP9KIt1aXwo)
Worley noise (Euclidean² distance, F1)[
](assets/algorithms/worley_1d_f1_full.png)[
](assets/algorithms/worley_2d_euclidean_squared_f1_full.png)[
](https://www.youtube.com/watch?v=qTZ9Sl7X4Io)
Worley noise (Euclidean² distance, F2)[
](assets/algorithms/worley_1d_f2_full.png)[
](assets/algorithms/worley_2d_euclidean_squared_f2_full.png)[
](https://www.youtube.com/watch?v=-PSHRWJ-KdU)
Worley noise (Euclidean² distance, F1 + F2)[
](assets/algorithms/worley_1d_add_full.png)[
](assets/algorithms/worley_2d_euclidean_squared_add_full.png)[
](https://www.youtube.com/watch?v=pyJ55cE1MAI)
Worley noise (Euclidean² distance, F2 - F1)[
](assets/algorithms/worley_1d_sub_full.png)[
](assets/algorithms/worley_2d_euclidean_squared_sub_full.png)[
](https://www.youtube.com/watch?v=klqUEW-oKpg)
Worley noise (Euclidean² distance, F1 * F2)[
](assets/algorithms/worley_1d_mul_full.png)[
](assets/algorithms/worley_2d_euclidean_squared_mul_full.png)[
](https://www.youtube.com/watch?v=mJXRGTAElV8)
Worley noise (Euclidean² distance, F1 / F2)[
](assets/algorithms/worley_1d_div_full.png)[
](assets/algorithms/worley_2d_euclidean_squared_div_full.png)[
](https://www.youtube.com/watch?v=PXF9w2yvKCg)
Worley noise (Euclidean² distance, cell value)[
](assets/algorithms/worley_1d_value_full.png)[
](assets/algorithms/worley_2d_euclidean_squared_value_full.png)[
](https://www.youtube.com/watch?v=NwqNQVWGM8s)
Worley noise (Chebyshev distance, F1)[
](assets/algorithms/worley_1d_f1_full.png)[
](assets/algorithms/worley_2d_chebyshev_f1_full.png)[
](https://www.youtube.com/watch?v=7BZ_Fa0Jb4I)
Worley noise (Chebyshev distance, F2)[
](assets/algorithms/worley_1d_f2_full.png)[
](assets/algorithms/worley_2d_chebyshev_f2_full.png)[
](https://www.youtube.com/watch?v=UYpVaczrO2Y)
Worley noise (Chebyshev distance, F1 + F2)[
](assets/algorithms/worley_1d_add_full.png)[
](assets/algorithms/worley_2d_chebyshev_add_full.png)[
](https://www.youtube.com/watch?v=Nl5BEYyzfnE)
Worley noise (Chebyshev distance, F2 - F1)[
](assets/algorithms/worley_1d_sub_full.png)[
](assets/algorithms/worley_2d_chebyshev_sub_full.png)[
](https://www.youtube.com/watch?v=wxHiuX_lwIc)
Worley noise (Chebyshev distance, F1 * F2)[
](assets/algorithms/worley_1d_mul_full.png)[
](assets/algorithms/worley_2d_chebyshev_mul_full.png)[
](https://www.youtube.com/watch?v=_ANM-MOTJgo)
Worley noise (Chebyshev distance, F1 / F2)[
](assets/algorithms/worley_1d_div_full.png)[
](assets/algorithms/worley_2d_chebyshev_div_full.png)[
](https://www.youtube.com/watch?v=P0tQRueoADM)
Worley noise (Chebyshev distance, cell value)[
](assets/algorithms/worley_1d_value_full.png)[
](assets/algorithms/worley_2d_chebyshev_value_full.png)[
](https://www.youtube.com/watch?v=4RURXWmMJAA)
Worley noise (Minkowski4 distance, F1)[
](assets/algorithms/worley_1d_f1_full.png)[
](assets/algorithms/worley_2d_minkowski4_f1_full.png)[
](https://www.youtube.com/watch?v=DkcXpES3Mvc)
Worley noise (Minkowski4 distance, F2)[
](assets/algorithms/worley_1d_f2_full.png)[
](assets/algorithms/worley_2d_minkowski4_f2_full.png)[
](https://www.youtube.com/watch?v=sxMgWI4-5hM)
Worley noise (Minkowski4 distance, F1 + F2)[
](assets/algorithms/worley_1d_add_full.png)[
](assets/algorithms/worley_2d_minkowski4_add_full.png)[
](https://www.youtube.com/watch?v=GhaeNfnqsk4)
Worley noise (Minkowski4 distance, F2 - F1)[
](assets/algorithms/worley_1d_sub_full.png)[
](assets/algorithms/worley_2d_minkowski4_sub_full.png)[
](https://www.youtube.com/watch?v=8ESRjwnqnH4)
Worley noise (Minkowski4 distance, F1 * F2)[
](assets/algorithms/worley_1d_mul_full.png)[
](assets/algorithms/worley_2d_minkowski4_mul_full.png)[
](https://www.youtube.com/watch?v=-2wj-pJO2Xk)
Worley noise (Minkowski4 distance, F1 / F2)[
](assets/algorithms/worley_1d_div_full.png)[
](assets/algorithms/worley_2d_minkowski4_div_full.png)[
](https://www.youtube.com/watch?v=_0rc3c_f5LQ)
Worley noise (Minkowski4 distance, cell value)[
](assets/algorithms/worley_1d_value_full.png)[
](assets/algorithms/worley_2d_minkowski4_value_full.png)[
](https://www.youtube.com/watch?v=Qj_Hv3SaZ0g)

Fractals

Name1D2D (surface view, Z=value)3D (surface view, Z=time)4D (not renderered)
fBm (OpenSimplex2 noise)N/A[
](assets/algorithms/fbm_2d_opensimplex2_full.png)TODON/A
fBm (Simplex noise)[
](assets/algorithms/fbm_1d_simplex_full.png)[
](assets/algorithms/fbm_2d_simplex_full.png)TODON/A
fBm (OpenSimplex2S noise)N/A[
](assets/algorithms/fbm_2d_opensimplex2s_full.png)TODON/A
fBm (OpenSimplex noise)N/A[
](assets/algorithms/fbm_2d_opensimplex_full.png)TODON/A
fBm (Perlin noise)[
](assets/algorithms/fbm_1d_perlin_full.png)[
](assets/algorithms/fbm_2d_perlin_full.png)TODON/A
fBm (Value cubic noise)[
](assets/algorithms/fbm_1d_value_cubic_full.png)[
](assets/algorithms/fbm_2d_value_cubic_full.png)TODON/A
fBm (Value noise)[
](assets/algorithms/fbm_1d_value_full.png)[
](assets/algorithms/fbm_2d_value_full.png)TODON/A
fBm (Worley noise)[
](assets/algorithms/fbm_1d_worley_full.png)[
](assets/algorithms/fbm_2d_worley_full.png)TODON/A
Billow (OpenSimplex2 noise)N/A[
](assets/algorithms/billow_2d_opensimplex2_full.png)TODON/A
Billow (Simplex noise)[
](assets/algorithms/billow_1d_simplex_full.png)[
](assets/algorithms/billow_2d_simplex_full.png)TODON/A
Billow (OpenSimplex2S noise)N/A[
](assets/algorithms/billow_2d_opensimplex2s_full.png)TODON/A
Billow (OpenSimplex noise)N/A[
](assets/algorithms/billow_2d_opensimplex_full.png)TODON/A
Billow (Perlin noise)[
](assets/algorithms/billow_1d_perlin_full.png)[
](assets/algorithms/billow_2d_perlin_full.png)TODON/A
Billow (Value cubic noise)[
](assets/algorithms/billow_1d_value_cubic_full.png)[
](assets/algorithms/billow_2d_value_cubic_full.png)TODON/A
Billow (Value noise)[
](assets/algorithms/billow_1d_value_full.png)[
](assets/algorithms/billow_2d_value_full.png)TODON/A
Billow (Worley noise)[
](assets/algorithms/billow_1d_worley_full.png)[
](assets/algorithms/billow_2d_worley_full.png)TODON/A
Multi (OpenSimplex2 noise)N/A[
](assets/algorithms/multi_2d_opensimplex2_full.png)TODON/A
Multi (Simplex noise)[
](assets/algorithms/multi_1d_simplex_full.png)[
](assets/algorithms/multi_2d_simplex_full.png)TODON/A
Multi (OpenSimplex2S noise)N/A[
](assets/algorithms/multi_2d_opensimplex2s_full.png)TODON/A
Multi (OpenSimplex noise)N/A[
](assets/algorithms/multi_2d_opensimplex_full.png)TODON/A
Multi (Perlin noise)[
](assets/algorithms/multi_1d_perlin_full.png)[
](assets/algorithms/multi_2d_perlin_full.png)TODON/A
Multi (Value cubic noise)[
](assets/algorithms/multi_1d_value_cubic_full.png)[
](assets/algorithms/multi_2d_value_cubic_full.png)TODON/A
Multi (Value noise)[
](assets/algorithms/multi_1d_value_full.png)[
](assets/algorithms/multi_2d_value_full.png)TODON/A
Multi (Worley noise)[
](assets/algorithms/multi_1d_worley_full.png)[
](assets/algorithms/multi_2d_worley_full.png)TODON/A
Hybrid (OpenSimplex2 noise)N/A[
](assets/algorithms/hybrid_2d_opensimplex2_full.png)TODON/A
Hybrid (Simplex noise)[
](assets/algorithms/hybrid_1d_simplex_full.png)[
](assets/algorithms/hybrid_2d_simplex_full.png)TODON/A
Hybrid (OpenSimplex2S noise)N/A[
](assets/algorithms/hybrid_2d_opensimplex2s_full.png)TODON/A
Hybrid (OpenSimplex noise)N/A[
](assets/algorithms/hybrid_2d_opensimplex_full.png)TODON/A
Hybrid (Perlin noise)[
](assets/algorithms/hybrid_1d_perlin_full.png)[
](assets/algorithms/hybrid_2d_perlin_full.png)TODON/A
Hybrid (Value cubic noise)[
](assets/algorithms/hybrid_1d_value_cubic_full.png)[
](assets/algorithms/hybrid_2d_value_cubic_full.png)TODON/A
Hybrid (Value noise)[
](assets/algorithms/hybrid_1d_value_full.png)[
](assets/algorithms/hybrid_2d_value_full.png)TODON/A
Hybrid (Worley noise)[
](assets/algorithms/hybrid_1d_worley_full.png)[
](assets/algorithms/hybrid_2d_worley_full.png)TODON/A
Ridged (OpenSimplex2 noise)N/A[
](assets/algorithms/ridged_2d_opensimplex2_full.png)TODON/A
Ridged (Simplex noise)[
](assets/algorithms/ridged_1d_simplex_full.png)[
](assets/algorithms/ridged_2d_simplex_full.png)TODON/A
Ridged (OpenSimplex2S noise)N/A[
](assets/algorithms/ridged_2d_opensimplex2s_full.png)TODON/A
Ridged (OpenSimplex noise)N/A[
](assets/algorithms/ridged_2d_opensimplex_full.png)TODON/A
Ridged (Perlin noise)[
](assets/algorithms/ridged_1d_perlin_full.png)[
](assets/algorithms/ridged_2d_perlin_full.png)TODON/A
Ridged (Value cubic noise)[
](assets/algorithms/ridged_1d_value_cubic_full.png)[
](assets/algorithms/ridged_2d_value_cubic_full.png)TODON/A
Ridged (Value noise)[
](assets/algorithms/ridged_1d_value_full.png)[
](assets/algorithms/ridged_2d_value_full.png)TODON/A
Ridged (Worley noise)[
](assets/algorithms/ridged_1d_worley_full.png)[
](assets/algorithms/ridged_2d_worley_full.png)TODON/A