Part 3;

Angle-of-viewpoint( < ) + dimenision-of-mind/intellect( ----- )

Sometimes the mind/intellect is referred to as the minds eye.

In the previous emails-- see part 2 and 1 below ---I had introduced the right-angled tetra(4)hedron and then simplified to just a triangle for ease of grasping this visually simple concept of viewpoint and mind/intellect dimension. Here below, using text, I will give another angle( perception/image ) on this angle-of-viewpoint Dimensional Mind scenario.al

......................O

O<---------------!-----------

......................O

So each "<" angles point/corner/vertex is seen to be the center of spheres-of-influence that are tangent to each other and have a XYZ( abc ) line-of-relationship( ! ) between and connecting their centers.

Here above we the observers angle-of-viewpoint and the mind/intellect dotted line dimension looking across the triangular plane and seeing the diametrically opposite hypotenuse as the line-of-relationship( ! ).

In this specific scenario, we may say, that, the mind/intellect dimension is looking at the tangential kissing point of two spheres-of-influence.

So this appears to me, to be the basic/fundamental of this whole Dimensional Mind scenario and what have I learned from this exploration?

Patr two(2);

1) XYZ or abc 'd' lines without a necessity of having a reference to a closed cube or any polyhedral shape

In this scenario above, infinity of the line is inferred/implied so we discount any further in our analysis/assessment.

2) vectorial lines-of-relationship, that inherently do involve a polygonal or polyhedral shape and spheres of influence

OOOO = In this scenario above we invoke the minimal polyhedron--tetra(4)hedron ---with the cartesian set of three right-angles and 4 nodal-vertexial event corners as the centers of 4, tangential and conceptual spheres-of-influence having vectorial line-of-relationship between all four ergo 6 vectorial lines-of-relationship define a tetra(4)hedron.

http://en.wikipedia.org/wiki/Trirectangular_tetrahedron

3) dotted lines-of-mind associated with a Viewpoint or points-of-view( <, > or even v or ^ )

Beginning with the nodal-vertexial event, where the three XYZ/abc lines meet at three 90 degree angles, I wish to invoke this additional dotted---line association with the angular space of inbetweeness, that exists between any three lines-of-relationship.

This means that between any two lines and have a dotted line that goes from the center-of-angle--- aka Viewpoint/point-of-view ---and goes across surface opening of tetra(4)hedron to meet( conceptualizes ) the vectorial line-of-relationship at its exact middle of the vectorial line-of-relationship.

It may be easier for some to only think of a triangle that has only three Viewpoints/points-of-view( <^> or <v> or ^

Across from the angle-of-viewpoint( < ) is the diametrically opposing vectorial line-of-relationship( ! ) so,

< -----! is mean to show that a dotted line goes from center of angle-of-viewpoint and meet the hypotenuse( vectorial line-of-relationship ) at the middle of that line, which is exactly where any two spheres-of-influence would tangentally kiss/meet.

If were dealing on with one triangle then there are only 3 angle-of-Viewpoints and 3 dotted lines-of-mind dimensions.

Part one( 1 )

<------- = Viewpoint( < or > ) + Dimension( ------ )

< ------> = 2 Viewpoints sharing common dimension

The common and convention/traditional accepted version for defining a dimension of space is that of using Cartesian mathematics i.e.;

XYZ = 3Dimensions of height, width and length at 90 degrees to each other. M. Kaku explains a 4th spatial dimension this way;

Start with a corner of a cube and the three( XYZ )lines at 90 degrees to each other dimensions are labeled as a, b and c.

The 4th dimension( d ) is then viewed as a line from the same corner the goes off in a direction towards the volumetric/body center of the cube and that direction is approximately 45 degrees from each other three a, b and c dimensions.

Someone recently refered to each observer( consciousness fix/triangulated ) as being a specific dimension of Universe, and this got me to thinking of how to textually graph that, as I attempt to do with so many things.

Viewpoint or point-of-view is what I call the observer( consciousness fix/triangulated ).

The above is the start of more to come on this <--------- = Viewpoint( < or > ) + Dimension( ------- ).

However, I am making a not-yet-clarified distinction between;

1) XYZ or abcd lines without a necessity of having a reference to a closed cube or any polyhedral shape

2) vectorial lines-of-relationship, that inherently do involve a polygonal or polyhedral shape and spheres of influence

3) dotted lines-of-mind associated with a Viewpoint or points-of-view( <, > or even v or ^ )

r6