[kragen]

From "counting the DNA", you would expect that the family of hundred-amino-acid-long peptides, which are encoded in strings of 300 bases, would have 4³⁰⁰ = 2⁶⁰⁰ possible three-dimensional conformations, or rather probability distributions over conformations, since many peptides have multiple stable conformations.

However, those 2⁶⁰⁰ sequences of bases are immediately reduced to 20¹⁰⁰ ≈ 2⁴³² possible sequences of amino acids (ignoring the start and stop codons, which are presumed to lie just before and just after the 300-base sequence in question).

Are you suggesting that these 2⁴³² different peptides somehow express many more than the 2⁶⁰⁰ different three-dimensional structures, or rather, probability distributions over them? Because that seems like a highly implausible claim, on the face of it.

Or are you going to answer, "Fucking arithmetic. How does it work?"