Golf ball
I went back and looked at it again….I see that two of the outer hexagons
were redundant. So….
__
1 / \ 2 If you start with the center hexagon, pick it up and plop 3
\__/ 4 down copies on sides 1-4. The top and bottom are unneeded.
__ __ Now, cut out a square with corners in the exact centers of
/1 \__/2 \ hexagons 1,2,3 and 4.
\__/ \__/
/3 \__/4 \
\__/ \__/
..__..
|_/ \_| Now that I look at it, I see I goofed when I described is as
|.\__/.| a square. It's actually a rectangle.
If instead, you add the top & bottom hexagons, then cut from the center of
the top face of #1 to the center of the bottom face of #4 you get a brush
that's closer to being a square.
_…._
\__/ Actually, I like this one better. It looked pretty good
_/ \_ tiled onto a 10km sphere at about 60×60. Since I have a
\__/ large tube comming out both poles,distortion at the poles is
_/..\_ not a problem.
Jim… Plain Geometry, nothing fancy.