2D Geometries

Symbols of Interconnectedness Everywhere

Thursday, 31 December 2020 by Bruce Rawles

As we close out a very surreal year, we wish you the peace that arises from the realization that we’re all interconnected and therefore kindness is appropriate every where and every when. Note the ring of Vesica Piscis shapes around the middle cylinder in this ceiling decoration in a hotel lobby. :-) The Vesica Piscis is the “lens” that is formed when two identical circles (symbolizing two identical seemingly separate selves) exactly touch overlapping so that one circle touches the “heart” or center of the other and vice versa. I imagine Plato (if he were around to comment) might suggest that even these helpful symbols are not the perfection – that transcends their apparent form – that the circles merely represent; the reality or essence in our minds is beyond any specific instance in space or time that the shapes, no matter how elegant or refined, could possibly convey. Like holograms, each of us contains the whole although not apparent to our senses. May 2021 be an opportunity for all of us to deepen our appreciation of the wholeness within every seeming part! :-)

Metatron Cube 3D Animation – Flower of Life – Platonic Solids – video

Monday, 30 November 2020 by Bruce Rawles

Here’s a fun 3-D video animation showing how the vertices of the five Platonic Solids and their “shadow” projections from 3-dimensional space to the 2-dimensional plane align with intersections of lines in the classic “Seed of Life”, “Flower of Life”, “Fruit of Life” and “Metatron’s Cube” line art illustrations, progressing from Tetrahedron to Star Tetrahedron to Cube (Hexahedron) to Octahedron to Icosahedron to Dodecahedron.

If you’d like to explore the relationship of “Metatron’s Cube” and “Flower of Life” (progressing from “Seed of Life”) line art illustrations with the Platonic Solids (all illustrated in the video above) and much more, check out my first book, Sacred Geometry Design Sourcebook: Universal Dimensional Patterns!

The “Seed of Life”, “Flower of Life”, and “Fruit of Life” illustrations (with numerous variations) cover are on pages 85 through 93. Pages 94 and particularly page 95 (a low-res image shown above) explore the Metatron’s Cube relationships in detail.

Penrose and other Tilings: periodic and aperiodic – video exploration

Friday, 30 October 2020 by Bruce Rawles

Kepler’s Model of the Solar System (nested Platonic Solids) and other fun and somewhat boggling geometric explorations unfold in this visually engaging video presentation about periodic … and aperiodic pentagonal tilings discovered by Roger Penrose, quasicrystals, and – of course – cameo appearances by the Golden Ratio and the Fibonacci Series. Enjoy! :-)

Thanks to Shaun L. for alerting me to this gem of a video!

If you’d like to explore the various periodic tilings and/or Platonic Solids (both mentioned in the video above) and much more, check out my first book, Sacred Geometry Design Sourcebook: Universal Dimensional Patterns!

3-D Polyhedra Software: Modeling, Art, Animation, Apps and more

Monday, 28 September 2020 by Bruce Rawles

If you want to experiment with 3D geometry software, check out Stella from Software3D; lots of possibilities here including the nets (a.k.a. fold-up patterns) for making polyhedra cut out from flat material, such as paper, cardboard or whatever. The animations showing the flattened 2-dimensional nets morphing into their completed 3-dimensional counterparts are particularly fun and useful since you can see intuitively how these polygons all work together to make a whole greater than the sum of its parts. :-)

Among the many other helpful and interesting products and items on this site is the “Worlds Kaleid!” live camera kaleidoscope app for Android.

The Geometry Code (Kindle edition) turns 8 today! :-)

Monday, 28 September 2020 by Bruce Rawles

On this day in 2012 – a few months after introducing the print version, I made the Kindle version of my second book available: The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation. I’ve appreciated all the support and encouragement during these past 8 years for this work, intended to be a bridge between two primary interests: the principle of interconnectedness reflected in geometric archetypes … and pure non-dual metaphysics.

Here is the foreward to the book by Gary Renard:

I met Bruce Rawles in Medford, Oregon in 2008 and again in 2009 and 2010 in Ashland, Oregon when he and Ed Karlovich hosted and promoted seminars I did there. During one of the car rides to the airport, he mentioned a book that he was working on that sounded unique and original. I was curious as to how he would incorporate the diverse disciplines of sacred geometry (which he has studied extensively), Hermetic philosophy with its unchanging laws of nature, and the non-dual metaphysics that is the essence of my life work, best known to many by the spiritual masterpiece, A Course In Miracles (ACIM).

He was quick to point out that it’s easy to get distracted or diverted by external indicators like geometric symbols and get bogged down in specifics or interpretations that lead away from wholeness and toward the problematic belief in the concept we call separation or ego. At best, symbols can be mirrors or reflections within a dualistic world that attest to principles guiding our minds back to an awareness that has no opposite, an experience of love that transcends anything that can be conveyed by words or symbols of any kind. These symbols, seen from that view that embraces oneness, reflect a healed mind, but are never the cause of it.

He also recognized that the very ‘universal’ laws that can seem to keep us stuck in the dream (to our detriment) can also be reinterpreted for everyone’s benefit by the inner teacher of kindness that ACIM refers to as Holy Spirit and my teachers abbreviate metaphorically as ‘J’. We can learn to trust this inner teacher and use every bit of feedback as cues or reminders to practice, practice, practice the spiritual art of quantum forgiveness, which sees our ‘problems’ as causeless, and therefore completely benign and forgivable.

Having acknowledged these two caveats, he has done a remarkable job of sharing how – by developing trust in the inner Inclusive Guide we all have in common – we can include the symbolic contents of our unconscious mind in very familiar forms, such as geometric ones, as feedback devices or memory jog aids to deepen our trust in our inner teacher. For example, Bruce points out how egos use circles dualistically to exclude and banish ‘others’ to the outer regions (and the equally unhelpful ‘special love’ for those ‘within the circle’), but can just as easily be reinterpreted to be infinitely large, including All as One.

Similarly, with his explanations of seven laws of nature, it becomes obvious that these unchanging rules (starting with the fact that the universe exists only in mind) can be directed by either the 100% sane thought system or the 100% insane thought system that we all share. The choice is up to us, moment by moment. Without the specific people and events of our lives – including the exemplified laws and forms we encounter – our unconscious guilt would never be revealed, released, and healed.

Countless other examples demonstrate the importance of forgiving the dreamer of separation; this work is a fun and useful addition to the list of ACIM studies books. Bruce and I share the kinship of all (not just those one would call students) learning to practice forgiveness, gently awakening our dreaming minds to Love that is beyond any words or symbols. Enjoy, and awaken.

– Gary R. Renard, the best selling author of The Disappearance of the Universe

Here is a recent timely and popular conversation I had – including ways of coping during 2020 with its challenges – with Gary Renard and his equally insightful wife, Cindy Lora-Renard.