Procedural Terrain Generation

» 28 Jan 2018

Realistic terrain using four random values and basic math? You bet! Procedural generation is a method of creating data algorithmically instead of manually. It is commonly used in video games to create textures and landscapes. The Diamond Square Algorithm is a straight forward method of procedurally generating terrain.

Making Changes

» 14 Nov 2017

In 2016 I started up a mathematics blog called Experimental Imperfections. In 2016 I also seemingly ended that blog. Its demise was caused by three main factors:

1. Free Time is a Limited Commodity

2. Tools are Everything

3. It has to be Relevant

Spent some time fixing these issues and this is the result of those efforts. Let the writing begin!

Trying to be Edgy

» 24 Oct 2016

Maths and making stuff! I spent some time this weekend folding up the Dodecahedron pictured below. Instructions on how to build your own origami dodecahedron come from MathCraftNZ, great site with some high quality and fun math related builds.

dodecahedron

One, Plus, Minus and Infinity

» 17 Oct 2016

The Problem: What does \(1 – 1 + 1 – 1 + 1 …\) equal?

Write down your answer and save it for later, I’m about to bend your brain.

The Seven Bridges of Könisgberg

» 10 Oct 2016

In 1735 the city of Königsberg, Prussia (now Kalinigrad, Russia) was set on both sides of the Pregel River. The river divided Königsberg into four regions with seven bridges connecting the regions.

The Problem: Can you find a path that allows you to walk around the city, crossing each of the seven bridges only once?

bridge

The City of Könisgberg