Comparison of possible β-structures. Each β-strand is shown as an
arrow and is composed of four polar (○) and three nonpolar
(●) residues arranged in an alternating pattern
(○●○●○●○).
(Upper) If two successive β-strands were joined by an
odd number of turn residues (three “t”s), then failure to form
the desired hairpin could produce a continuous double-length
amphiphilic β-strand with polar residues (○) pointing down
toward the aqueous phase and nonpolar residues (●) pointing
up toward the air. (Lower) Double-length amphiphilic
β-strands are disfavored by “negative design.” Incorporating an
even number of turn residues (four “t”s) between successive
β-strands disrupts the up–down nonpolar/polar patterning.
Therefore, if the four turn residues failed to form the desired turn
(as depicted in Figs. 1 and 6) but instead continued as β-structure,
then the resulting polar/nonpolar patterning would be
“flipped”, and the double-length β-strand would
not form a continuous amphiphile. Hence, for sequences
in this designed binary code library (see Figs. 1 and 2), structures
containing double-length β-strands would be disfavored at an
air/water interface.