Geodesic Dome of Hexagons

I am trying figure out the minimum size of a world that is made of hexagonal tiles for it to be not very noticeable. I cannot find anything online that is directly helping me; so I come here. In my model, every hexagon is 10 meters in diameter.

Make a geodesic sphere with only hexagons.

• What is the minimum number of hexagons to produce this?
• What is the minimum number of hexagons I need to add to make the geodesic sphere larger?
• How do I calculate the angle of declination given the number of hexagons in a geodesic sphere?

There are the questions I have come up with. Let me know if they need to be on their own question, but they are all closely related to each-other.

Any help on this is much appreciated.

Thank you

• If you look closely enough at the image you linked, you will notice several pentagons :-) In fact, it is not possible to build a sphere using only regular hexagons. Jul 23, 2017 at 0:32
• nooooooooooooooo! Jul 23, 2017 at 0:41
• ill look into triangles. Jul 23, 2017 at 0:42
• Yes, you need pentagons, 12 of them, or smaller numbers of squares or triangles. But try using hexagons to tile a torus. Jul 23, 2017 at 0:44
• That is an interesting proposal, a toroidal world. Jul 23, 2017 at 0:53