<p><a href="http://www.rhythmiccanvas.com/research/papers/worley.pdf" rel="nofollow noreferrer">Worley noise</a>, also known as <a href="https://thebookofshaders.com/12/" rel="nofollow noreferrer">cellular noise</a>, has the same property. It just as easily implemented as Perlin noise and easily extends to higher dimensions. Thus the slicing of 4D Worley noise will produce a 3D Worley noise. However, it is not necessarily a noise function but rather a texture function, producing cellular-like characteristics. With FBM applied to Worley noise some interesting patterns can be created.</p>

<p>You can find additional types of procedural noise functions in <a href="http://graphics.cs.kuleuven.be/publications/LLCDDELPZ10STARPNF/" rel="nofollow noreferrer">this</a> survey paper. </p>

CC BY-SA 4.0
2018-10-11T11:15:56.943Z
2018-10-11T11:46:55.943Z
2018-10-11T11:46:55.943Z
Reynolds
<p>A well-known property of Perlin noise (with FBM) is that if you take a slice of it, the result is still Perlin noise.  So, by taking successive slices of 4D  noise, you get smoothly shifting 3D noise, like a cloud or a lava lamp.</p>

<p>What other noises have this property?</p>

<animation><noise>
What noises can be sliced?
Maxpm
# What noises can be sliced?

(Asked by: username_0 on 2018-10-06)

A well-known property of Perlin noise (with FBM) is that if you take a slice of it, the result is still Perlin noise. So, by taking successive slices of 4D noise, you get smoothly shifting 3D noise, like a cloud or a lava lamp.

What other noises have this property?

**Tags:** animation, noise


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## 1 answers

### Answer by username_1 on 2018-10-11. Score: 2 | Accepted answer

[Worley noise](http://www.rhythmiccanvas.com/research/papers/worley.pdf), also known as [cellular noise](https://thebookofshaders.com/12/), has the same property. It just as easily implemented as Perlin noise and easily extends to higher dimensions. Thus the slicing of 4D Worley noise will produce a 3D Worley noise. However, it is not necessarily a noise function but rather a texture function, producing cellular-like characteristics. With FBM applied to Worley noise some interesting patterns can be created.

You can find additional types of procedural noise functions in [this](http://graphics.cs.kuleuven.be/publications/LLCDDELPZ10STARPNF/) survey paper.


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