- Geodesic raytracer » This article describes a shadertoy example implementing a geodesic raytracer through curved space
- 2nd order distance estimator to an implicit surface » This article describes a shadertoy example using a 2nd order estimator for implicit surface distances
- Curvature Computation and Visualization of Implicit Surfaces » This article describes a shadertoy example computing and visualizing curvature on implicit surfaces
- Visualization of coordinate transform stretching » This article describes a shadertoy example visualizing the stretching of coordinate transforms
- Simple epicycles » This article contains a simple script for recreational coding to display epicycles
- Visualizing a complex Fourier series » This article shows one way of how a complex Fourier series can be visualized
- View factor derivation - Disk with oriented area element in normal direction from center » This derives the view factor of a disk to an area element
- Friendly Robot Arm » Shows how two implementations of a multi-segment arm behave
- Chain, Product and Quotient rules for Gradient, Jacobian and Hessian » This article is a summary of various multivariate derivative rules
- Camera Ray Generation » This article explains how to compute a ray from a given OpenGL-style projection matrix
- Algeobra Showcase - Algorithms » Examples of generic algorithms
- Algeobra Showcase - Math » Examples of visualizations related to math
- Algeobra Showcase - Curves » Examples of visualizations related to curves
- Algeobra Showcase - Various » Examples of various topics not neatly fitting into other categories
- Algeobra Showcase - Physics » Examples of visualizations related to physics
- Algeobra Showcase - Geometry » Examples of visualizations related to geometry
- Algeobra Showcase - 3D » Examples of visualizations related to 3D
- Algeobra Showcase - Vectors » Examples of visualizations related to vectors
- Introduction » Introduction to the algeobra showcase
- Taylor Series » A short introduction to Taylor Series
- Sampling the Phong Distribution » Sampling the Phong distribution
- Sampling Normals » Summary of normal sampling
- Sampling the Trowbridge–Reitz/GGX Distribution » Sampling the Trowbridge–Reitz/GGX distribution
- Sampling the Beckmann Distribution » Sampling the Beckmann distribution
- Sampling Uniform Unit Hemisphere » Algorithm and derivation of how to sample the uniform unit hemisphere
- Sampling Power Cosine Weighted Unit Hemisphere Sector » Algorithm and derivation of how to sample the unit hemisphere weighted by a power cosine
- Sampling Power Cosine Weighted Unit Hemisphere Cap » Algorithm and derivation of how to sample the unit hemisphere cap weighted by a power cosine
- Sampling » Summary of direction sampling
- Sampling Cosine Weighted Unit Hemisphere » Algorithm and derivation of how to sample the unit hemisphere weighted by a cosine factor
- Sampling » Summary of 2D functions
- Sampling 2D » Summary of 2D sampling functions
- Sampling » Summary of common sampling algorithms in computer graphics and derivations for them
- Quaternion rotation » Exploration of the formula for quaternion rotations
- Operations » How to read and translate various operations from math and translate them into code
- Factorial » How to read and translate the factorial operation and translate it into code
- Binomial » How to read and translate the binomial operation and translate it into code
- Union and Intersection » How to read and translate union and interesction iteration symbols and translate them into code
- Summation » How to read and translate the summation symbol from math and translate it into code
- Set notation » How to read and translate the set notation in iteration symbols from math and translate it into code
- Product » How to read and translate the product symbol from math and translate it into code
- Nested iteration » How to read and translate nested iteration symbols from math and translate them into code
- Iteration » How to read and translate various iteration symbols from math and translate them into code
- General iteration » Summary of the general iteration symbol reading
- Conditions on indices » How to read and translate conditions on indices in iteration symbols and translate them into code
- Set containment » How to read and translate the set containment symbol and translate it into code
- Kronecker » How to read and translate the Kronecker symbol and translate it into code
- General symbols » How to read and translate various symbols from math and translate them into code
- Function composition » How to read and translate the function composition symbol and translate it into code
- Cases » How to read and translate the cases symbol and translate it into code
- Partial derivative » How to read and translate partial derivatives and translate them into code
- Differentiation » How to read and translate various differentiation operations and translate them into code
- Gradient » How to read and translate the gradient and translate them into code
- Derivative » How to read and translate the derivative and translate it into code
- Math Symbols to Code » This article shows how a few common math expressions can be converted and understood in code
- Low-rank filter » This article explores approximating an image filter with a low-rank approximation
- Integrals » Basic introduction to integrals
- Dot product applications » This article explores applications of the dot product
- Coordinate transform » Details for dealing with orthogonal coordinate frames
- Bezier subinterval » This article explores how to find a Bezier curve for a subinterval of the parameter space and how to derive it