In conclusion, "i power G / 45", is not only the expression of a BIDIMENSIONAL ANGULAR SPACE, but also contains an implicit geometry which consists on a square divided in two parts, two triangles, positive and negative, by means of an straight line (zero line) which is a dividing diagonal going from one vertex to the opposite one.

i ^{G / 90} x i ^{G / 90} x i ^{G / 90} = i ^{G / 30}

Which indicates that the implicit geometry in the expression "i power G divided by 30", is a deformed cube in such a way that it shows two volumes, one labelled as positive and the other as negative.
In this case, naturally, these volumes are separated by a dividing surface, zero surface, in a way that this zero plane is at 30º of each opposite sign volume which it separates.

D / Finally, we deduce the expression for the FOUR DIMENSIONS ANGULAR SPACE, and from it we will try to deduct its morphology. Let’s power four the angular equivalent of the elementary length, as we did with the previous cases, that is:

i ^{G / 90} x i ^{G / 90} x i ^{G / 90} x i ^{G / 90} = i ^{G / 22.5}

which indicates that the geometry, implicit in the expression "i power G divided by 22,5" is a four dimension "hypercube", a four dimensional space, divided into two parts, positive and negative, this time separated by a three dimensions "cube" which is situated at 22,5º sexagesimal from the two parts of the hypercube its separates.
 

3.4.- VISUALIZATION OF THE ANGULAR FIELDS MORPHOLOGY.
 

A - One Dimension. Vector  -1, 0 1, 180º turn and dividing (zero) point at 90º

B - Bi dimensional rhombus shaped square and dividing diagonal (zero line) at 45º
  

C - Tri dimensional. "Mitral" figure with dividing (zero) plane at 33
  

D - Four dimensional . "Hypercubic" shadow and dividing (zero) cube at 22,5º
  

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