Small Signed Integer Addition 3D

x

y

Addition of small signed integers

x

and

y

is represented by a black cuboid at position

{x,y,x+y}

. The other cuboids mark possible results within the regions defined by coordinate and threshold planes. The outer two of the three parallel planes mark thresholds for results that involve carries or are of different signs. The other planes pass through the origin

{0,0,0}

and distinguish between positive and negative ranges for arguments and results.