# Hexsphere Generator

Eventually, this will be a full-blown planet generator. But, for now, this is a 
hexsphere generator. This shape is also known as a [Goldberg 
polyhedron](https://en.wikipedia.org/wiki/Goldberg_polyhedron) or a [truncated 
icosahedron](https://en.wikipedia.org/wiki/Truncated_icosahedron). It is made 
from generating a [icosahedron](https://en.wikipedia.org/wiki/Icosahedron) whose 
sides are split N times (for a detail level of N). Then, I calculate the [dual 
polyhedron](https://en.wikipedia.org/wiki/Dual_polyhedron) of that shape, which 
results in the hexsphere. In its smallest form (detail level of 0), it has 12 
pentagon faces. As the detail level increases, it gains more hexagon faces and 
becomes more spherical in shape.

Detail level 0 with 12 pentagons:

![detail 0](img/detail-0.png)

Detail level 1 with 12 pentagons and 30 hexagons (AKA. a soccer ball):

![detail 1](img/detail-1.png)

Detail level 8 with 12 pentagons and 655,350 hexagons:

![detail 8](img/detail-8.png)