Thanks for that wonderful exploration of the problem space.
Side note on magnets: when our kids were young, I got one of theose stick-and-ball magnetic sets that are capable of making geometric figures. So I made a Archimedian-style polyhedron big enough to be a helmet. I wore it for some minutes on a few occasions and it gave me a very unpleasant (but subtle) headache and a deep, somewhat lasting nausea.
I try not to put magnets near my body anymore, nor allow the kids to. My understanding is that our bodies were evolved over millennia without being near magnets (or electric fields), especially the neodynium sorts.
Anyhow, thanks for the thoughtful reply. It's the best of the internet's potential.
Side note on magnets: when our kids were young, I got one of theose stick-and-ball magnetic sets that are capable of making geometric figures. So I made a Archimedian-style polyhedron big enough to be a helmet. I wore it for some minutes on a few occasions and it gave me a very unpleasant (but subtle) headache and a deep, somewhat lasting nausea.
I try not to put magnets near my body anymore, nor allow the kids to. My understanding is that our bodies were evolved over millennia without being near magnets (or electric fields), especially the neodynium sorts.
Anyhow, thanks for the thoughtful reply. It's the best of the internet's potential.