from research import *
s=begin(679,'Resolve the1470 versus1475 closure','Why do the source’s scalar and coordinate closures differ by five?',{'center':2871,'start_offsets':[-13,13],'outward_arm':F(1449,2),'scalar_arm':F(1449,2)},['Supplement A §4.2'])
arm=F(1449,2); scalar_total=2*P*arm; half=13+arm; coords=[2871+half,2871-half]
finish(s,{'scalar_total':scalar_total,'coordinate_half_width':half,'coordinate_endpoints':coords,'coordinate_total':2*half,'Tishri_labels':[x+F(1,2) for x in coords]},'P converts the scalar724.5 arm to735, giving1470. The coordinate construction instead starts13 away from center before adding724.5, giving737.5 per side and1475 overall. The five-year difference is fully accounted for by different constructions.','Reconstruct the exterior-core opening of the ten-node ladder.',{'scalar':scalar_total==1470,'coordinate':2*half==1475,'labels':[x+F(1,2) for x in coords]==[3609,2134]})