Exact dyadic ratios
Abstract
Physical descending masks
For a>=b>=c>=2, the ratios 2R/Z and 2R/T are actual dyadic positions. Their unions with the low bit two fit the U chain and are nested. Writing R=TP and T=ZL identifies their integer values, including coincident positions. Outside Z=4, R=2T, the descending polynomial inequalities give exact reserve bounds with remaining charges A-1, A-Z-1 and A-(TZ+T+1). The baseWord is the literal four-block masked word with these U masks and no V or W reserves.