25 lines
1016 B
Markdown
25 lines
1016 B
Markdown
# 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)
|