# Questions tagged [mathematics]

Use of maths inside blender.

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### Is there a tool for scientific visualization using Blender?

Is there an interface or API that allows using Blender as a tool for mathematical and scientific visualization? It should allow Blender to read in data (a la gnuplot or matlab, perhaps using scipy) ...
13k views

### Generate curve from equation

I've been trying to design a dynamic sculpture which I can only define with exactitude through mathematical equations. Now, the equations yield only lines, like you can see in the animation below: I ...
2k views

### Physical iridescence in Cycles?

Having recently seen the Siggraph paper A Practical Extension to Microfacet Theory for the Modeling of Varying Iridescence, I of course said to myself "I have to have this in Blenderrrrr!" and started ...
10k views

### What is Dot Product?

I am doing this Blenderguru tutorial on Making Fire and at some point he is adding the Vector Math node Dot Product to his material. And he says that he does not understand what he is doing but this ...
12k views

### How can I generate an object from a mathematical function?

I have a formula that mathematically describes the heart surface in Cartesian coordinates: $$\left(x^2+\frac{9y^2}{4}+z^2-1\right)^3-x^2z^3-\frac{9y^2z^3}{80}=0$$ Unfortunately, I have no idea how ...
7k views

### What do glossy distribution models do?

In Cycles, the glossy (and anisotropic) shaders have a Distribution option. Since I don't really know the difference, I have always left it at it's default (GGX). So what is a distribution model, ...
1k views

### Closing “Fibonacci's Hole”

Creating a sphere using the points defined by Spherical Fibonacci Mapping. For the most part it is easy to "skin" by using two consecutive fibonacci numbers as steps to loop on the index. And get ...
21k views

### Fractals in Blender?

Is it possible to define a true mathematical fractal in Blender? For example, would it be possible to use a script or a Blender addon to procedurally generate 3D fractal objects. This could be ...
10k views

### how are the math node operations in cycles calculated?

How does the math node do calculations with a specific operation: the usual operations of add,subtract, multiply and divide are quite understandable and are(empirically) very similar to some of the ...
4k views

### Using Blender for plotting graphs?

While gnuplot is serviceable and matplotlib is a popular choice for Python developers, I wanted to use Python for plotting some simple graphs (matplotlib had some issues installing on my system, with ...
3k views

### How to: Exponential Fall Off for Volume Density?

I'm trying to create a photorealistic Earth Atmosphere. Several papers written on the topic of atmospheric scattering state that our atmosphere's density has an exponential fall off, with most of it ...
3k views

### How can I create 3D surface of sine waves?

I would like to make a surface that obeys the equation: z = Asin(x) + Asin(y), 0<=z<=1; 0<=x<=2npi; 0<=y<=2npi Where I would like to be able to change n to increase/decrease the ...
2k views

### Cycles node editor - Map gray scale value map to extremes

I have a value map that is black and white, but it covers a very small range of that spectrum, having the brightest value at 90% grey, and the darkest somewhere around 80% grey. What I need to do is ...
3k views

### Create procedural spiral pattern

I'm trying to make a galaxy in blender. If I use an image of a galaxy to get the spiral shape it becomes a 2d image projected into the 3d volume. To avoid this I wanted to use a procedural method, but ...
8k views

### What are the benefits of Quaternion rotation over Eulerian rotation?

What are some practical uses for the Quaternion? Why not just use the Euler X, Y, and Z axis rotation values? It's not intuitive how one should manipulate Quaternions. Can someone explain this?
1k views

### Recreating Mandelbulbs with math nodes

I'm trying to recreate a Mandelbulb using Volume and math nodes in blender. I have been able to create a Mandelbrot with math nodes but I am having problems making it 3d. I tried translating this ...
3k views

### Use Latex in Blender

I want to use math text in Blender. For example, I would like to have fractions (A/B) where the letter A is on top of letter B and the division line is horizontal. I also would like to move this ...
2k views

### Sine wave using only Math nodes?

For the purpose of animating materials, is there a way to construct a sine wave function out of Math nodes? A while back I asked about how to do something similar with scripted driver expressions. ...
1k views

### Precision of Math Node?

To normalize the position coordinates of particles for an Image Texture node, I have to divide 1 by a very large number (119,617). After running some tests, I see that the colors of my image texture ...
795 views

### Is there a way to calculate mean curvature of a triangular mesh?

So I've written a script which does this: Before: After: The code is: ...
3k views

### Build color ramp out of math nodes?

I want to use color ramps or RGB curve effects in my node groups. This runs into the problem that the only sockets these nodes have is their input image and factor. This means if I have them in a ...
3k views

### Make “gaussian laser beam” (object with variable radial emission profile)

Laser beams are usually not cylinders of light, but instead they have a smooth beam profile, where they are brighter in the center of the beam and dimmer towards the sides. The cross section typically ...
1k views

### IES-like lights in Cycles

I have been consistently trying and failing to recreate the techniques described in the links to create an IES like textured light effect with Cycles Spotlight lamps using a Color Ramp node. http://...
3k views

### Plotting 3D Surfaces

Building on from my previous question, how can I plot something more complex than a sphere (and not as easy to split into a set of parametric equations)? Say, for example $$2x^2+y^2-5z^2+z-7x=16$$ ...
1k views

### Which of Blender's bpy.props properties can store a Matrix?

In my script I am trying to store a Matrix, for example the region_3d.view_matrix of a 3D view. This returns: ...
4k views

### How can I make my procedural brick texture map correctly to both a cube and cylinder?

I've been experimenting with node-based procedural materials in Cycles lately, and after spending a few hours working out a brick material that works pretty well along walls, I noticed that it has a ...
3k views

### How to find all objects in the Camera's view with Python?

I have a scene with a many objects and one camera. I would like to select the objects that the camera sees, even partially. Is there a way to do that in Python that accounts for the objects bounds? ...
582 views

### Show banding on object

I'd like to emphasisze the '3d-ness' of my object, by applying a rectangular mesh to it, as if it were a white object in a black room illuminated only by a (far away) laser that scans horizontal and ...
2k views

### how to change a mesh given by mathematical function with time i.e. how to include the time parameter in the mathematical equation?

I am trying to make an animation in which a mathematical function changes as a function of time. Given below are two images which are z math surfaces(from the "extra objects" add on) whose equations ...
2k views

### What does the fraction math node do?

I am trying to learn some procedural basics. Could you tell me what the fraction math node does? Is the result similar to modulo?
2k views

### What does the “Absolute” setting in the Math node do?

The documentation is a little unclear. "Always return non-negative value from any operation input 2 between input 1." https://...
335 views

### Converting the Clifford Attractor equation into python to animate it in blender 2.8

I'm trying to re-create and animate a "Whispy Clifford Attractors" this http://paulbourke.net/fractals/clifford/5.jpg from this site http://paulbourke.net/fractals/clifford/ I can create the ...
844 views

### How to make a node group to calculate fresnel via F0 values

Object I want to make a node group so I can enter a F0 value instead of the IOR value for fresnel. Purpose The purpose is to make a fresnel node group for metallic shaders, since default fresnel isn't ...
4k views

### Blender for Mathematics Visualization

EDIT: For those believing that Blender is good for mathematics or want to prove it, this may be helpful: Blender + Mathifold. I hope it does indeed meet the aspects I need Blender for. I have ...
975 views

### How to read a bone's quaternion rotation and convert from local bone to world space

I am writing a custom exporter to export from blender to my opengl program. To read the roatation, as well as convert from blender's cordinate system to my game's system, i use this code: ...
541 views

### Clarifying Blender skeleton animation and OpenGL

I'm looking into implememting skeleton animations. I use Blender to create the armatures, export them using the IQM file format (Inter Quake Model). My first steps are to make sure that I'm getting ...
3k views

### Graph in blender a function of two variables, [duplicate]

I would like to know if there is any way to be able to graph in blender a function of two variables, for example Sin (x y2) for the domain of x from -3 to 3, the domain of y from -2 to 2, to get ...
541 views

### How to convert equations to work with Blender and animation nodes?

I have an equation that I'm trying to animate in Blender 2.79b The equation is. $$y=e^{{{\log \left(1-x^{{\it (S*T)}}\right)}\over{{\it (S*T)}}}}$$ Where: ...
1k views

### creating mesh on an isosurface

I have a function like $f(x,y,z)=\text{constant}$. It is not straightforward to solve $z$ as a function of $x$, $y$, and $\text{constant}$ analytically. So, I want to choose a Constant value, draw ...
608 views

### Trying to convert a DXT5NM Normal Map for use in my scene

I have a handful of these strange normal maps I need to use in my scene that store X in the Alpha channel, Y in the green channel, and require you to calculate Z with the following formula: Z = sqrt(...
2k views

### How to calculate Specular value for Principled BSDF node from IOR?

With regard to the manual the Specular value for the new Principled BSDF node can be computed with following formula: $\text{specular}=\left(\frac{\text{ior}-1}{\text{ior}+1}\right)^2/0.08$ For ...
1k views

### How to delete all faces with distance to other object

I want to delete all faces (of "Mesh") with a distance > 0.5 to the nearest point of an other object ("Sphere"). Unfortunately it deletes the whole object. Thanks for helping! ...
703 views

### A tube of light in a volume shader

As I had much fun with this (thx Chebhou) but gaussian functions are a bit too complex for me, i want my volume scatter cylinder to have simply a smaller cylinder emitting light inside it, from the ...
2k views

### Mathematical functions for mesh in Blender 2.8 beta [closed]

Does somebody know if it is already possible in the beta 2.8 to use mathematical functions for the mesh? I could not find the Addon "Add Mesh: Extra Objects", which I uses in 2.79. Any other solution ...
3k views

### How to turn a mesh inside out, like a sock?

I am working with a 3D scan of an object that has convex ridges. Here is a screenshot of the object: I am trying to use the interior of the model to create a space for a video game. As you can see in ...
362 views

### Need normalized distance between geometry bounds

I would like to get a value between 0 and 1 of the distance between the mesh bounds in an axis (Y), depending on the X value. not sure this is crystal clear but the screenshot says more than words :) ...
116 views

### Calculating position difference in a driver

Suppose I have an object, that I move from A to B (by pressing the G button) on the XY plane. I want to automatically orient it, so it always faces the direction of the movement. Furthermore, I want ...
1k views

### How do I make a giant clock made of many small clocks?

I want to recreate this animation I found online, of a giant clock that displays the time using many smaller clocks. The minute and hour hands of the smaller clocks rearrange into symmetry and shows ...