Chaikin Curves #

Sometimes I want to draw Voronoi or similar polygons in a rounded form:

Rounded polygons. Lots of them.

I use a process called Chaikin's Algorithm for this.


Verb-noun vs noun-verb #

I went to the Roguelike Celebration over the weekend and enjoyed Thomas Biskup's talk about Ultimate ADOM. Among the many interface improvements they're making based on user testing is they're simplifying the controls from the traditional roguelike controls to W A S D + E F. I don't know how roguelike game players will respond to that but I'm a fan! This reminded me of two things from my past, so I thought I'd say a little about those.


Square tiling of a sphere, part 3/3 #

In the previous post I described how I learned about the cube/sphere geometry so that I could put a square grid on a sphere. I ended up spending too much time on that, because it turns out the mapping from cube to sphere wasn't as useful as I had thought. This happens to me sometimes, where I find something fascinating, spend a lot of time on it, and it turns out to be not that important.

As the final step in learning how to work with square tiles on a sphere, I wanted to make something on the sphere. I decided to make a dungeon map.

Dungeon map on a sphere
Dungeon map on a sphere

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Square tiling of a sphere, part 2/3 #

In the previous post I described how I learned about HEALPix because I wanted to try covering a sphere with square tiles for a game map. During that exploration I realized that HEALPix with 12 square regions is similar to cubes with 6 square regions, but HEALPix has some nice properties for numerical calculations such as spherical harmonics. I don't need those properties. Instead, I am looking for something that's simpler to program, so I explored cubes.

Diagram showing the Earth mapped onto a cube
Earth mapped onto a cube

The goal is the same: I want to play a game on a flat top-down tile map (roguelikes, Dwarf Fortress, Factorio, etc.), but these games have one of three approaches to the map:

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