[net.math] a brief puzzle to match the coffee breaks most of us get

ee161im (10/09/82)

Can you imagine a way of cutting six circular ( conformist )
holes in a sphere so that, excluding rotations and reflections,
there is exactly one circularly symmetrical projection of
the sphere onto the plane?!  I have just discovered that
one of my favorite shapes has this surprising property.
			- steve
			sdcsvax^sdcattb^wa125

All comments disproportionately welcome.