2D Geometries

Seed of Life nanotubes, Musical symbolism, Life in a Computer-Simulated Matrix, big geometric lanterns

Tuesday, 28 February 2017 by Bruce Rawles

A few quick – and interesting! – links to share:

Growing Nanotube Forests … this ubiquitous geometric archetype known to many as the “Seed of Life” makes an appearance on a microscopic scale
432octaves: Benjamin Joshua addresses quite a few topics here: art, music & a synthesis of ongoing research into the many realms of Music & Music Theory, Sacred Geometry, Golden Proportion, Mathematics, Frequency & Vibration, The Harmony Of The Spheres, Cymatics, 432Hz Family, The Sumerian Cyclical Tuning System, Outer Space, Astronomy, Etymology, Pharmacology, Symbolism, Alchemy, Sound Healing, Geodetics, Metallurgy, Agriculture, Architecture, World Religions, Technology, Ethnomusicology, Megalithic Sites, Meditation, Magnetism, Ancient Cultures, Pendulums, Guitar
Ma Sonic? Joe Dubs has a neat graphic on his FaceBook page on “Decoding the Musical Symbolism”
I’ve probably mentioned this one before, but the implications bear re-examination … What if our life here is virtual reality? Life in a Computer-Simulated Matrix
In case you missed them: GeometryCode Favorites – Favorite sacred-geometry and interconnectedness-related Movies, Books, Music, Software, and much more…
Thanks to fellow geometers Asha Deliverance (of Pacific Domes) and for the photos of these big geometric lanterns by Hybycozo – a Dodecahedron (Platonic Solid) and Small Rhombicosidodecahedron (Archimedean Solid), respectively – photographed in San Francisco, and these related links (thanks to Ed Kellogg): Temporary Sculptures Light Up Hayes Valley and Illuminate SF – Trillian+DODI

big metal lantern - dodecahedron - photo by Asha Deliverance — big metal lantern (dodecahedron) – photo by Asha Deliverance

big metal lantern (Small Rhombicosidodecahedron) - photo by Asha Deliverance — big metal lantern (Small Rhombicosidodecahedron) – photo by Asha Deliverance

Multiplication Tables on Circular String Art lead to Mandelbrot and classic curves

Friday, 6 January 2017 by Bruce Rawles

Thanks to Ed Kellogg for this interesting video link (Times Tables, Mandelbrot and the Heart of Mathematics by Mathologer) and his comments: “This looks like a real treasure trove to me! And not just Mathologer – looks like a lot of other mathematicians or mathematics enthusiasts have put up some great videos since the last time I checked out this area on YouTube! Visually entertaining and illuminating videos illustrating mathematical concepts and processes used to seem almost as rare as hens teeth – nice to see how much that situation has improved.” … I agree, Ed… Looks like I’ll want to spend more time exploring more of his – and related – videos! :-)

Möbius strips of light … Donald in Mathmagic Land … Golden Ratio Nautilus

Friday, 2 September 2016 by Bruce Rawles

From the backlog of interesting sacred geometry links I’ve been meaning to share, here are three, with thanks to colleagues who shared the links with me so I can pass along to you! :-)

Möbius strips of light” … These mathematical structures show up everywhere from M.C. Escher drawings to electrical circuits, but almost never in nature. Now, a team of physicists have shown for the first time that light can be coaxed into a Möbius shape. …” Thanks to Ed Kellogg for emailing these links.
Disney Cartoon From 1959 Teaches Sacred Geometry: ” … Donald in Mathmagic Land is a 27-minute educational film featuring the one and only Donald Duck. Released on June 26, 1959, it soon became the most popular educational film ever released by Disney. … ” If you haven’t seen this classic, you might want to watch it – or watch again – even if just for historical reasons; it’s an good very basic introduction (or re-introduction) to the the golden ratio, pentagram proportions, Pythagorean mysticism and a gateway to a more in-depth study of sacred geometry. Thanks to Haines Ely for this link suggestion.
Golden Ratio Nautilus: George Hart clarifies common misconceptions about popular spiral shapes (specifically golden ratio spirals) in this interesting video where he sets the record straight … or is that curved? :-)

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

Friday, 29 April 2016 by Bruce Rawles

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:

Sacred Geometry Book Design with Sacred Geometry Vector Set Vol. 1, 2 and 3
Ascension Art – Designs by DavidDiamondheart
Sacred Geometry Web with 3Dmandalas … be sure to also check out iConnect by MetaForms for similar 3D geometric designs
Interview about *LLND and Sacred Geometry in their latest performance titled Cosmic Resonance
Shutterstock: Collection of elements, symbols and schemes of physics, chemistry and sacred geometry
Ted Talk: Golden Ratio Fibonacci Sequence TEDxEast: Matthew Cross
I’m sure I’ve shared this before, but what a great cosmic example of the vesica piscis (the Hourglass Nebula) … to tie into the first topic (the shape of a cross) – if you draw a cross bisecting a vesica piscis shape, the ratio is the square root of 3 (√3), which is also the ratio of the diagonal across any two opposite corners of a cube and any edge side length.
GeometryCode – Favorite Movies, Books, Music, Software, and much more…

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.

Vibration Station Conversation – The Geometry Code Book: Chapter 7: Polarity

Sunday, 17 April 2016 by Bruce Rawles

In this audio recording, Dave Cohen (a.k.a. Davie Crockett), and Bruce Rawles talk about “Polarity: 4th of the 7 Hermetic Laws” which is Chapter 7 from the book The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation on Sunday, 17 April 2016, on his LA Talk Radio show. Two different movies, The Man Who Saved the World (2014), and Joyeux Noel (2005) bring to light examples of how we ‘eat, sleep and breathe’ polarization–ego’s cult of differences that keeps us on the battleground of the fragmented mind, figuratively and sometimes literally … and how we can use our awareness of this maladaptive identification to transcend polarization by using the very specifics of our earthly classroom as our self-forgiveness curriculum. No matter what polarizing axis we might ‘plot’ our differences against, we can notice (as the Hermetic Law of Polarity states) that on the level of form (superficial appearances, relative to our eternally unchanging nature) we might be different in degree, but identical in nature.

“Everything is Dual; everything has poles; everything has its pair of opposites; like and unlike are the same; opposites are identical in nature, but different in degree; extremes meet; all truths are but half-truths; all paradoxes may be reconciled.”
– The Kybalion