Hexagonal geodesic map - Unity Answers

Hello, I don't find on the web the mathematic formule or routine for know the hexagones 3d position and rotation for this type of grid (is an icosahedron dual ?) : My 0;0;0 position would be the center of the map, and i would like choose the size between 2 pentagons (If I understood correctly, there are always 12 pentagons), like that : I specify, I have an hexagon mesh, and I doesn't want the met