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Category: Mathematics

November 16, 2020

Top game-related math books

Mathematics used to be a lot more important for game development than it is now. There are so many tools available for creating all…

November 10, 2020

Procedural Meshes for Lines in Unity

A lines is a fundamental graphics object, but generating attractive, robust lines involve many subtle issues and can be difficult to get right. In…

July 22, 2018

Domino Tilings I

I started a new project: studying polyomino tilings and related problems (very much inspired by Golomb’s famous Polyominoes). As part of this study, I…

February 20, 2013

Pentagons

A while back I developed a mild obsession with pentagons (mathematical ones, not symbolistic!) It started when I discovered some beautiful (simple and to me,…

September 30, 2010

Update to Functional Equations Reference (version 1.3)

This is a substantial update of this reference document. The most important addition is the chain and substitution rules for arithmetic difference calculus (ADC)….

May 27, 2009

Update: Reference for Functional Equations

In this new  version of Reference for Functional Equations I added several more z-transform pairs. I also started to add binomial transform pairs. The definition for…

April 28, 2009

Generating Random Integers With Arbitrary Probabilities

I finally laid my hands on Donald Knuth’s The Art of Computer Programming (what a wonderful set of books!), and found a neat algorithm…

April 15, 2009

Estimating a Continuous Distribution from a Sample Set

It is sometimes necessary to find the distribution given a sample set from that distribution. If we do not know anything about the distribution,…

April 15, 2009

Generating Random Points from Arbitrary Distributions for 2D and Up

I have already covered how to generate random numbers from arbitrary distributions in the one-dimensional case. Here we look at a generalisation of that…

February 26, 2009

A Reference for Functional Equations

I have not posted in a while; one reason is that I got sucked into some interesting mathematics; the work-in-progress Reference for Functional Equations is…

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vector field Mathematics game tools Python Dev.Mag sampling z-transform level editor functional equations compression filtering maintainability difference equation quadtree response curve Game Development Special Numbers Library random number generation blending random distribution random probability Simulation Image Processing editor image partitioning functional equation 2D Perlin noise sum procedural texture quadtrees grids C++ algorithm artificial intelligence distribution function tiles white noise spatial partitioning optimisation Game Maker computer graphics AI discrete calculus

Categories

  • Algorithms (25)
  • C++ (3)
  • Downloads (13)
  • Game Development (18)
  • Games (1)
  • Image Processing (11)
  • Java (2)
  • Mathematics (11)
  • Python (6)
  • Simulation (5)
  • Snippet (8)
  • Tools (4)
  • Tutorial (9)
  • Web Development (1)

Blogroll

  • Dev.Mag

Tag cloud

Special Numbers Library quadtrees Mathematics 2D optimisation random distribution function random distribution quadtree editor Image Processing level editor discrete calculus tiles difference equation Dev.Mag random number generation response curve Game Development C++ grids computer graphics procedural texture Perlin noise spatial partitioning blending maintainability probability vector field Python Game Maker sum filtering AI z-transform functional equation Simulation algorithm white noise functional equations artificial intelligence game tools sampling image partitioning compression
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