We have a B= xyz as cuboid belong s|S sub group with s1.....s nth geometry marker, if s|S is isometric and belongs to T|t sub group with x sub class:x1.....x nth , y sub class: y1....y nth and z sub class: z1.....z nth. Change in xyz sub classes belong to B with deltaT|t sub class elements: R|x i|y i|z determines local shape variables shifting to real and imaginary surface geometry. Under a T|t class with real defined projection group proj proj|pi: pi projection elements, then transformation of B = Bi as well B = projection elements. If s|S is a global open group, Rx|R trace other geometric bodies l^3/b^2 x A or set trailing body group GD|D: V1.....V nth volume variations or area-perimetric variations. GD|D: T|tsin(theta).......T|tsin(theta) nth : T|tcos(theta).....T|tcos(theta) nth is the radial variations added with mapped projection groups which contain sub class elements and real geometry transformation for the open group. Cause||infinity T|t proj B|n1....n nth false geometric components is the ending group definition.
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