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A lot of you have tried to construct a sphere by iterating through longitudes and latitudes and tessellate from that. It produces a sphere ok, but sometimes it has annoying shortcomings. One of them is the unequal size of the triangles generated. So, I'm looking at constructing the sphere from equal size triangles. From my flat pencil-sketch, it looks as it is possible by starting out with eight six-sided symmetric polygons. That would be very convenient, becourse the polygons easily are split into equal size triangles .. and they again can be split if need be for further detail.

Am I fooling myself?

Replies(2)

I would do some searching on wikipedia about geometric solids, they have A LOT of them. If you are using equilateral triangles then your best bet would be an icosahedron.

It is hard to determine what your idea is without a diagram / drawing.
asimes,
I had my compass on the table ... it won't work from the outset of equal size honeycombs.