Kirby,
Thanks for the dome video.
In God's eyes, we must all be kids building castles on the seashore. Come the evening tide, they will all be washed away.
But isn't our "day" on the beach fun nevertheless?
From whence is five-fold symmetry? If you cut an apple, or a quince, along the equator instead of a longitude,
you can see the five seeds.
As for "spheres", of course there are raindrops and planets that are roughly round. But necessarily "roughly",
because if they are all built of chemical bonds, they will not be perfectly smooth.
My heresy regarding "circles" stems from trying to draw them in pixels.
But if the universe is all finite "pixels", then nature must be able to get along without them.
But if nature can, can't our geometry?
Do we "need" infinity to model the "finite", or is it just a convenience, an approximation?
I suspect we may be stuck in the same kind of trap as the ancients,
who decided that the sphere and regular solids were "perfect" constructions,
and hence God, being perfect, necessarily used them to create the universe.
Speaking of pixels, I sometimes wonder whether it would be better to arrange pixels in hexagons instead of squares.
Then we could have "real" straight lines for isometric rectilinear diagrams.
But then perhaps some engineer would decide to run the phosphor lines horizontal instead of vertical (the better to align text) and mess it all up!
Joe