Color print 1280 X 960 GIF Grayscale print Color print 1280 X 960 GIF Grayscale print Just as displacement on a one dimensional slide rule scale equates to increasing or decreasing value of exponent and therefore equates to multiplication or division, so is it true in these vector space mappings that change of position corresponds to multiplication or division by some multiple or sub-multiple of a unit or a quantity. Remembering that [Ke] , the electrical interaction constant, is the reciprocal of the atomic unit of permittivity: [Ke] = 1/([4Pi][k]), each graphic is a 2D portrayal of an abstract 3D vector space, a 3D map, but can include representation of a factor extending into the 4th dimension. A wedge widening away from the viewer, extending behind the 2D depiction plane and out of the 3D space equates above to multiplication by [Meter/Farad]^[1/2] = (1/[Farad/Meter])^[1/2] so that two such wedges mean multiplication by [Meter/Farad]^1 while each wedge widening toward the viewer, into the foreground, equates to division by [Meter/Farad]^[1/2] = (1/[Farad/Meter])^[1/2] so that division by [Meter/Farad]^1 is associated with two such wedges into the foreground. Wedges as displacement into the fourth dimension In the portrayal below, mapping exact quantities called the atomic units, a wedge widening away from the viewer and extending behind the 2D depiction plane, out of the 3D space, is associated with a multiplication by ([Ke]^[1/2]) = 1/{([4Pi][k])^[1/2]}, and every two wedges widening toward the viewer into the foreground represent multiplication by ([4Pi][k])^1 , the atomic unit of permittivity, both numerically and in terms of units. These conventions combine, conceptually above, and explicitly below, with the mapping conventions confined entirely within the 3D space: displace one unit distance to the right to multiply by [frequency]^1 and one unit distance to the left to divide by [frequency]^1 , displace one unit distance up to multiply by [length]^1 and one unit distance down to divide by [length]^1 , displace one unit distance "into the page" to multiply by [mass]^1 and one unit distance "out of the page" to divide by [mass]^1 , while still within the 3D space depicted in the 2D depiction plane, mapping quantity calculus relationships among the atomic unit fundamental constants, here is a periodic table of laws of physics. Color print 1280 X 960 GIF B & W print