Meditation on Geometric Transformations - excerpt from "Spiritual Initiation in the Western Tradition"

MEDITATION ON GEOMETRIC TRANSFORMATIONS
(Excerpt from "Spirtual Initiation in the Western Tradition" by Robert Gilbert)

In this meditation we are working in pure consciousness with the geometric language of creation.  By following a simple, fundamental transformation from one geometric form to another (which follows spiritual laws), we come closer to perceiving the dynamic, mobile activity of spiritual archetypes as living beings.

Step One: Visualize a central point of light.

Step Two: Visualize a line of energy emerging from the top of the point and then from the bottom of the point; both projecting lines from the top and bottom should extend the same distance from the point, as the two lines are in reality an axis/geometric vector.

Step Three:  Visualize a line of energy emerging from the right side of the point, then from the left side, making another axis.

Step Four: Visualize a line of energy emerging from the back of the point, then from the front, making a third axis of light.  We now have a three-dimensional cross, which holds the three 90-degree axes of the physical world.

Step Five:  Spin the cross on each of its three axes, one after the other.  Then spin it on all three axes simultaneously (if this is difficult, think of it as three different interpenetrating full 3-d crosses each with a different axis of rotation).  Observe the lines created (on an implicit sphere) by the form as it undergoes the three simultaneous axial rotation.

Now return to spinning the cross on just one axis; then spin the cross on the same axis in the opposite direction.  Then spin it both directions simultaneously (again if this is difficult, think of it as two separate crosses interpenetrating).  There is a particular energy which manifests when any form is spun in interpenetrating counter-rotations. 

If the preceding steps were easy, then: rotate the cross on another axis; then counter-rotate it on the same axis, followed once again by spinning it both directions simultaneously.  Then do this for all three axes simultaneously (so that there are six total interpenetrating rotations).

Step Six:  Connect the end-points of the cross with lines of light.  This will form an octahedron.  Practice rotating the octahedron as you did the cross in the previous step.

Step Seven:  Become aware of the center point of the octahedron.  Then become aware that there is an implicit center point in the center of all 8 faces of the form.  Extend out each of the implicit points in the center of the faces a short distance, keeping the extension in the same vector line of the center point of the octahedron to the center point of the face (the distance should the location which would make the new extended point the top point of an equilateral tetrahedron given the size of the base triangle lines of the face).

Then connect these new points with lines of light to the three adjacent points of the octahedron face; this will create tetrahedrons on each of the 8 faces of the form (the base of the tetrahedron is the three lines which define each face).

Observe the entire form; it is the form known as the “Stella Octangula” (stellated octahedron), called by Leonardo da Vinci the “Star Tetrahedron.”

Rotate this form along the axes provided by the new pairs of opposite points provided by the stellation (there are four axis pairs, the top points of the tetrahedrons we just constructed on each of the eight faces).

Step Eight:  Connect each of the eight stellated points (the eight “tetrahedron tops” we just created) with a line of light.  This will form a Cube.

Step Nine:  Go through the sequence of octahedron-to-stellated octahedron-to-cube quickly in your mind. Once you have the forms clear and well-defined in the mind, Pay attention to the energy of the transformation activity rather than the form as you go through the sequence.  Run the sequence backward as well, from Cube to stellated octahedron to Octahedron.

Step Ten:  In the mind transform the Octahedron directly to the Cube without going through the intermediary step of the stellation (an easy way to do this is simply to connect the center of each of the eight faces so that a cube is formed inside the octahedron).  Then transform the Cube directly into the Octahedron without going through the intermediary step of the stellated octahedron (simply connect the center of all eight faces and an octahedron will be created within the cube).  Run the transformation back and forth until the images are crystal clear, then shift the attention to the feeling of the transformation processes rather than the images.

Some notes on this practice:

*  Note that you can create a constant dynamic movement through this dual transformation process, either in progressively smaller forms or progressively larger forms; this is essentially a progression of either emerging from a center or disappearing into a center.

*  Note the importance of the center of each face in this transformation process.  Meditate on the connection of this phenomenon with the teachings regarding the center and accessing the BG3 energies in Biogeometry®.

*  A further advanced practice is to rotate a cube so that a given line of it creates a five pointed star after five rotations.  If all the points of the cube’s positions through the five rotations were to be joined together, they would form a dodecahedron.  This rotation essentially creates 12 five pointed stars, one on every face of a dodecahedron.

...except end...

Learn More about this book