- no, we did not all know!
Very cool. Are these the only two meeting some nice constraints, or are there more?
You're reminding me of the pyritohedron, which is the fool's gold version of the regular dodecahedron, using the fool's golden ratio. But this is part of an infinite series, which I explained here:
https://math.ucr.edu/home/baez/week241.html
starting at
"The pyritohedron is interesting in itself, so before I turn to some really fancy math, let me talk a bit about this guy. Since pyrite is fundamentally a cubic crystal, the pyritohedron is basically made out of little cubic cells, as shown here:..."
