3d Control Sphere Edge And Face Study

3D Control Sphere Edge and Face Investigation

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Dewayne Broussard, December 2009

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This study was inspired by the comments of jtstatic on the David Icke forum. 6

http://www.davidicke.com/forum/showthread.php?t=61370&page=48

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Rodin’s

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This is a continuation of the study of a 3 dimensional representation of the Rodin control circle. On this study the edges and faces where considered to have properties related to the vertices which have be assigned values according to the Rodin control sphere.

Control Circle

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Rules: 1) Each edge emanating from a vertex retains the value of that vertex. 2) Each edge created by the intersection of the two planes emanating from vertices has the value of the sum of the two vertices. 3) The value of each plane is the sum of the perimeter edges.

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3D Control Sphere Edge and Face Investigation

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Taking a plan view of the start tetrahedron looking down on the 3 vertex the achieve the view shown Figure 3. All object in light grey are hidden from direct view.

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Indicates a vertex value

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Indicates an edge value

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Indicates a face value

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Some interesting conditions materialize: 1) 3s and 6s are the edges between the two tetrahedron.

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2) The value of the face on the lower tetrahedron is equal to the edge value where the two tetrahedrons intersect. Turquoise arrows in figure 4. 3) The inner upper edge value is the same as the next vortex value in counter clock-wise rotation. Black arrows in figure 4.

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Figure 3

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4) The edge value of the lower tetrahedron is the same as the next upper tetrahedron vortex value in counter clock-wise rotation. Figure 5. 5) Faces tangent to the center vertex (3) are equal to vertices of the downward facing tetrahedron. Violet arrows in figure 5.

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Figure 4

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Figure 5

3D Control Sphere Edge and Face Investigation 5

Figure 6 shows the plan view of the start tetrahedron looking toward the 6 vertex.

7 It is also interesting to note that the upper and lower horizontal face of the tetrahedrons are equal to 9. Depending on the applied dominance, the values would appear to indicate a clockwise or counter-clockwise rotation. Dominance being face value toward vertex value or vice versa. Arbitrarily the sequence of point-line-plane may be applied. Therefore the sequence would be vertex-edge-face, which is opposite of that which is displayed. Since both upper and lower tetrahedron would have the same direction then the values would only indicate a potential and not an actual rotation.

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Figure 6

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3D Control Sphere Edge and Face Investigation

The layout included herein are only a first run. Further instigations may reveal additional patterns.

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One additional observation is the projection of the vertices onto the inscribed octahedron results in a separation of even and odd numbers if the positions of 3 and 6 are reversed.

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Fold line

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