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Geometric Inspiration and Education

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geometric art, color-filled intersections of simple 2D shapes shapesReflecting on the growth – explosion, really – of information available to us online compared to what we had access to just a few decades ago, I recalled that in the early 1970s when I was an undergraduate electrical engineering student at UC Davis, California, I used the card catalog in a long row of tidy wooden cabinets at the Shields Library – a building which covers an entire block of the campus – to look up everything I could find (at that time) on the Golden Ratio, Golden Number, Golden Section, Divine Proportion, Phi (ø) or Tau (τ) Proportion, Sacred Cut, Extreme and Mean Ratio, etc. and other synonyms for the ubiquitous (1 + √5)/2 ≈ 1.6180339887… value. This fascination was my response to a gift of two books – both with references to the golden ratio – from my mother who indirectly introduced me to this enthralling subject which later was popularized with the term “sacred geometry”:

I found a few dozen books that led to other books and on and on into the mystical realms of the intersections of mathematics, ornamentation, art, music, architecture, history, and above all – mind. … But after checking out those books, I felt I had somewhat exhausted the more obvious references to this topic in this library. … Not anymore!

Fast forward a half-century; now googling Sacred Geometry, as of today (21 April 2022) we get a staggering 45 million results for this niche topic (including my evergreen minimalist GeometryCode Introduction to the subject now way past overdue for a revisit and update) and 481 million for the Golden Ratio!

The same curiosity still remains in my mind: What can be counted on that does NOT change? The laws of mathematics in general and geometry, in particular, seem relatively stable, fortunately, at least within the context of the Cartesian space-time paradigm. When I was in high school, I read Education and Ecstasy by George Leonard and I realized that to really dive deep and learn immersively, one needed to be motivated, inspired or at least have their curiosity seriously piqued or their assumptions about life challenged. Exploring some of the ideas that these readings opened up for me was enough!

Now there are a multitude of online offerings that can motivate young and old alike to explore esoteric topics like interconnectedness (e.g. quantum entanglement), geometric symbolism and synchronicities, and so much more. Another vital element that has a multiplying effect is FUN!

Here are a few quickly-found resources for educators and explorers in this realm (including teachers, home-schoolers) and philosophers of all stripes:

Enjoy! :-)

The Geometry Code Kindle edition: 6 years ago … Fun geometry videos

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On Sep. 28, 2012 the Kindle version of my second book, The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation, was launched, a few months after the paperback version. Thanks to one and all for your support this past 6 years and for over two decades since my first book, Sacred Geometry Design Sourcebook (SGDS) – Universal Dimensional Patterns was published! Much appreciated! (SGDS, if you’re new to this realm, is – among other things – a sacred geometry coloring book for adults.) I always enjoy hearing from you … how these have added to your enjoyment of geometric … and more recently metaphysical … explorations or by way of other interconnected conversations!

I recently discovered some fun videos by StandUpMaths that will certainly appeal to the nerdier among us, but are general enough to be fun for a wide range of those even slightly interested in geometry, science, math, etc. I started with “Stand-up comedy routine about Spreadsheets” and then progressed to this fun demo of toroidal vortices “Stand-up comedy about Equations That Correspond to Vortex Motions (aka ‘smoke rings’)”

toroidal vortices: smoke ringsI wonder how long dolphins have been blowing bubble rings? Douglas Adams might have been on the right track suggesting they were smarter than humans. :-)

Here’s a 4D puzzle you might enjoy which helps explain our limited perspective here in this surreal 3D world: Dodecaplex: the puzzle from the fourth dimension! If you’re a hyperdimensional dodecahedra fan, you won’t want to miss this! Enjoy!

Midnight in the Desert – interview July 24, 2017

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I will be the guest of Midnight In The Desert (MITD) – Late Night Talk Radio with Heather Wade from 9:30 PM-1 AM on Monday, July 24, 2017. Here is the page on the MITD site about my conversation: – Bruce Rawles – The Ubiquitous Hermetic Laws.

I will be conversing about: Non-dual Metaphysics, Sacred Geometry, The Seven Hermetic Laws, Lessons from Modern Physics, and The Great Pyramid of Giza. Please join us! :-)

 

Cross symbolism, coloring books for adults, vesica piscis and misc. links

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I recently received this inquiry about the symbolic meaning of a cross:

Hi, I love your site. I am learning so much. I don’t see any information about the symbol ‘The Cross’. Is the cross a universal symbol? A sacred symbol? It’s the symbol used in Christianity but does it have wider significance?
Thank you for your time and your knowledge! Thank you, thank you,
– A., California

… and I provided this response:

Thanks for the kind words, and your question.

Yes, the cross can represent a very wide array of symbolic meanings, and its obvious geometric aspects attest to its universality beyond any specific religious or philosophical adoption, but I try to remember that symbolic systems can be simplified to just 2 thought systems:
Inclusion: whatever leads us back to thoughts of sameness, interconnectedness and ultimately Oneness
and
Exclusion: whatever leads us deeper into the metaphoric darkness of separate interests, differences and identification with the ephemeral, dualistic and divisive.

Therefore, seen from the former thought system of Inclusion, a cross can be a reminder that we can find the center (intersection) point where we transcend polarities, find common ground and respond with kindness … or an idol for specialness and ‘win-lose’ tug-of-war battles. It’s always our choice. :-)

I touch on this symbolism in the chapter on the Law of Polarity in my second book, The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation

Book: The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation by Bruce Rawles

You might also enjoy listening to this related recent conversation about the Law of Polarity.

Thanks again for your inquiry and support! :-)

I keep finding more indications that the interest in adult coloring books is continuing to rise, such as this Coloring Book Master Class promotion. In addition to the classic reference book that contains over 1300 images suitable for easy photocopying for geometric coloring book use, my German publisher recently released a beautiful hardbound book (with a very nice subset of the images in the larger book) as Bewusst malen – Heilige Geometrie which also has some great quotes on facing pages. Thanks again to fellow author and artist, Jay Goldner, for his work in bringing this second book containing my geometric artwork to Europe and the world.

Here are a few miscellaneous links about sacred geometry and related, interconnected topics that have crossed (pun intended) my path recently that you might find interesting:

The Hourglass Nebula
This is an image of MyCn18, a young planetary nebula located about 8,000 light-years away, taken with the Wide Field and Planetary Camera 2 (WFPC2) aboard the Hubble Space Telescope (HST). This Hubble image reveals the true shape of MyCn18 to be an hourglass with an intricate pattern of ‘etchings’ in its walls. This picture has been composed from three separate images taken in the light of ionized nitrogen (represented by red), hydrogen (green), and doubly-ionized oxygen (blue). The results are of great interest because they shed new light on the poorly understood ejection of stellar matter which accompanies the slow death of Sun-like stars. In previous ground-based images, MyCn18 appears to be a pair of large outer rings with a smaller central one, but the fine details cannot be seen.

New German Sacred Geometry Coloring Book for Adults! – Bewusst malen – Heilige Geometrie

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Sacred Geometry Coloring Book for Adults - Bewusst Malen - Heilige Geometrie by Bruce Rawles
Sacred Geometry Coloring Book for Adults – Bewusst Malen – Heilige Geometrie by Bruce Rawles

Coloring Book for Adults … now available in a German edition!

A few months ago, I wrote that a new abridged version of the German edition of my first book Mandalas Der Heiligen Geometrie (MDHG) was underway. Mandalas Der Heiligen Geometrie (MDHG) is currently out of print, but I still have a few copies of this German edition of my Sacred Geometry Design Sourcebook (SGDS) available, if anyone in the US would like to buy one, just contact me if you’re interested in this collector’s item, which contains the original rainbow-colored cardboard fold-up Platonic Solid Mobile designed by the book’s translator, Jay Goldner, who graciously donated his time and effort to make the German version over a decade ago.

Now the new (abridged from the original MDHG) sacred geometry coloring book for adults, Bewusst malen – Heilige Geometrie, is available from the original publisher, Silbershnur Verlag. Here is where you can order a copy online. If you know anyone in Germany, please spread the word, thanks! And continued kudos and gratitude to Jay Goldner for his efforts is making these images available again, thanks to his collaborative efforts! :-)

I have spent countless meditative hours over several decades exploring these fascinating patterns, both with compass and straightedge as classical geometers have done for millennia, and with modern CAD software to make the original Sacred Geometry Design Sourcebook (SGDS) from which this newest incarnation of that source material was derived. I hope you continue to find this practice as inspiring, relaxing, fun and mind-opening as I have over the years.

Use these links below to order the different versions of my adult coloring, reference and other books: