A Flake Of Mica and the Golden Rhombus

When we open ourselves to the ways of Nature and meditate on the structure of natural systems, we are sometimes surprised with gifts of beauty and tokens of our mental journey. Here is a photo of un-cut mica crystal I found on the ground during a recent hike in northern New Mexico.

Natural, un-cut mica in the perfect proportions of a golden rhombus.

Notice in this photo how lines of symmetry within the mica align perfectly with the major and minor axis of the golden rhombus. Readers of this blog may appreciate that my meditations on the proportions of the golden rhombus are extensive. In particular, I have expressed my admiration for this geometric jewel through several kilnformed glass art pieces. You may witness the golden rhombus arrayed in spherical formation as the thirty faces of the rhombic triacontahedron in the photo of my glass art below.

Thirty golden rhombus form the faces of the rhombic triacontahedron.

In northern New Mexico there are many wonderful natural places to explore. Ancient volcanic activity is evident in soothing, mineral rich hot springs. Whenever, I get a chance I love to take advantage of the healing waters, soak away my stress and dissolve my toxic attachments. During a recent trip to the Ojo Caliente hot springs, before immersing myself in the baths, I took a hike in the surrounding hills and was rewarded with the discovery of a perfect golden rhombus mica crystal. How lucky is that?

Spin and the 120 LCD Spherical Triangle of Synergetics

In my previous post "Planetary Energetic Grid Theory" I talk about how various New Age philosophers have used the mathematically proven geometries from Buckminster Fuller's Synergetics to further their own pseudoscientific theories. I would like to delve a little deeper into this issue and point out the difference between New Age pseudoscience and real science.

I encourage the reader to review Synergetics section 901.00 Basic Disequilibrium LCD Triangle for an explanation of the relevance of the 120 LCD spherical triangle geometry to the modelability of nature's structures. Buckminster Fuller discovered these geometries as being generalized operational principles of Universe evident in natural structures. These structures appear on all scales from the micro-cosmic icosahedral protein capsid of a virus to the macro-cosmic spiral arm of a galaxy.

901.02 The Basic Disequilibrium 120 LCD Spherical Triangle of synergetics is derived from the 15-great-circle, symmetric, three-way grid of the spherical icosahedron. It is the lowest common denominator of a sphere's surface, being precisely 1/120th of that surface as described by the icosahedron's 15 great circles. The trigonometric data for the Basic Disequilibrium LCD Triangle includes the data for the entire sphere and is the basis of all geodesic dome calculations. (See Sec.612.00.)

See the website of R.W. Gray Projects on Great Circle and LCD Triangle Info for a very complete explanation of Bucky's concept of how the great circles are defined by spinning the polyhedron about an axis. He explains in great detail the derivation of the LCD Spherical Triangles and provides corrected tables of angles.

Image with Becker-Hagens copyright but contains diagrams from Synergetics

Note how the completely rational and mathematically derived 120 LCD Spherical Triangle model of Synergetics is compared in stark contrast to the plagiarized and emotionally derived UVG 120 Sphere by Becker-Hagens. It is interesting to see how Becker-Hagens copied exactly the drawings from Bucky straight out of Synergetics and added their own copyright to them. See "Illustration 17 - Planetary Grid Projection" compare with "Fig. 986.405 Respective Subdivision of Rhombic Dodecahedron (A) and Rhombic Triacontahedron"

Synergetics Fig. 986.405 Copyright © 1997 Estate of R. Buckminster Fuller

We all realize that the images of geometric forms discovered by Bucky's brilliant and extraordinarily disciplined mind are potent in their beauty and resonate on many levels of the psyche due to their intuitive connection to the coordinate system of Universe. The lesson here is that we need to be careful that these images do not become symbols and signs of a new religion which removes the images from their rightful place at the heart of the Design Science Revolution.

Geometry is a true science that can lead humanity to innovations which use less resources to accomplish more benefit for Humanity. The magic and mystery resides in the ability of the Human mind to derive the generalized operating principles of Universe from experience and observation. However, the geometric images in of themselves do not possess magical properties to divine the source of etheric energies beyond that of inspiring within the seer the motivation to use their own internal creative energies for the betterment of the planet.