The folks at Ka Gold Jewelry continue to add exquisite new artistic creations to their extensive line of geometrically inspired, mystical, cosmic jewelry. Check out these new items which include a vesica-piscis-yin-yang-entangled pendant, star tetrahedra with and without enclosing spheres, Flower of Life, Seed of Life, zodiacal emblems and even a truncated icosahedron (i.e. soccer ball shape) where each face is a seed of life shape … and much more, drawing from a diversity of cultural traditions and contemporary visionary interpretations! Neat! … and you might also want to take advantage their current seasonal 15% discount; use Coupon Code – KAGOLD2014 which is valid until December 24, 2014. Enjoy!
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GeometryCode bulletin for October 2014
(1) News, Events, Interviews, Workshops, Classes, Exhibits, Products, Articles, Tutorials
Follow the bouncing ball: toroidal torsos, tetrahedra and truncated icosahedra
I recently saw a fun video on FaceBook showing soccer players with their torsos enclosed in protective toroidal bubbles, and then found this related Bubble Soccer USA site. Perhaps sport is now imitating what some believe is the shape of the human electromagnetic energy field? Below is a stylized illustration I did some years ago of nested rainbow colored toroids surrounding a meditator in lotus position.
Of course, the shape of a traditional soccer ball is roughly the projection of a truncated icosahedron onto a sphere. Since inflated bubbles provide superb cushioning, they are also found on this NASA Mars lander video; note the tetrahedral cushioning balloons (with 6 quasi-spherical balloons on each face) about 3.5 minutes into the video.
Solar System Geometry Calendars for 2015
I just updated the popular Martineau Solar System Series calendar for 2015. The models depicting averaged (circular rather than elliptical) orbit relationships are astonishingly accurate … and simple! Enjoy! :-)
Spiral shell sculptures
Sculptor, fellow artist, geometer and student of metaphysics, Stefán Geir Karlsson recently sent me some interesting conceptual images and commentary about making some really large spiral shell sculptures. His virtual vortices would be fun to explore as full size realized art forms. I’ve long had similar ideas for making huge models of polyhedra with mirrored interiors that we could walk inside, see the labyrinthine reflections and hear the equally fractal echoes; all metaphors of our projections mirrored back to us! Colleague Sara Frucht of Berkeley, Calif. has some excellent smaller models she calls ‘Kaleidoscapes‘ with wonderful interior mirror reflections.
(2) Websites, Books, Videos, Imagery, Music and Quotes
- Golden Ratio and sound – John Chowning audio
- A site featuring the work of noted geometer and scholar Tons Brunés and classic sacred geometry constructions
- 22 maps and charts that will surprise you; some interesting images for map enthusiasts; the last one (#22) about Laniakea and the Milky Way; is particularly impressive to keep our tiny earth-bound issues in perspective! :-)
- a related, linked video about supercluster Laniakea … staggering!
- a lovely photo of newly-discovered galaxy SMM J2135-0102
- Golden Ratio For Kids: Pinterest page
- Werner Vogt’s geometrically inspired architecture
- Lissajous figures (I used to make wild animations with an analog oscilloscope and a bank of oscillators in high school) and Hans Jenny’s Cymatics are kindred art forms. … John Martineau has a great little book on the Harmonograph (among his generous assortment of gems in his Wooden Books series; scroll down to the Wooden Books section on our Sacred Geometry books page. … Steven K. Roberts: “here was my childhood harmonograph with adjustable pendulums and U-joints to the drawing tool, with rack-and-pinion pickoff via servos to a second platform above.
(3) Request for Submissions
If you like to color with colored pencils (or other media), make 3-D fold-up geometric art, do stained glass, quilts, geometric arts and/or crafts, or just want an extensive reference/resource of geometric archetypes, patterns and essential line art, you might enjoy a copy of my first book, Sacred Geometry Design Sourcebook: Universal Dimensional Patterns.
If your leanings are more metaphysical … and perhaps whimsical :-) … you might enjoy my second book, The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation. It was originally going to have geometry and Hermetic Laws/symbolism as a primary focus, but in 2007, a reawakened interest in the spiritual masterpiece, A Course In Miracles – thanks to Gary Renard – shifted the primary emphasis to an exploration of the two thought fundamental systems we all vacillate between, and how we can gradually shift our mind’s identity to the happy one.
PO Box 192, Castle Rock, Colorado 80104
author of The Geometry Code book; co-author of The Geometry Code screensaver
author of Sacred Geometry Design Sourcebook
Free monthly email bulletin on sacred geometry and related subjects
You might also enjoy my blog which has lots of other fun and info in addition to these bulletins.
- a monthly bulletin (which tends to be sent towards the end of the month when I realize I haven’t sent one yet! :-)
- an update bulletin (you can subscribe on any page from the box in the right sidebar just below the search box) that gets sent any time there’s a new blog post the prior day
Spiral shell sculpture
Sculptor, fellow artist, geometer and student of metaphysics, Stefán Geir Karlsson recently sent me some interesting conceptual images and commentary about making some really large spiral shell sculptures. His virtual vortices would be fun to explore as full size realized art forms. He says, regarding the first image below, “This is a photoshop in front of the new opera house in Reykjavik (Iceland).” Enjoy!
“Below is 1 foot model from granite” next to the shell he modeled it from.
“I have been obsessed with the Conch Shell since I was a boy. My dream is to make one
that you can walk into either from stainless steel or granite.”“As a boy I always wanted to know how it looked on the inside. So I would very much like to make one you can walk into. I know all kids would love it. I know people in China that have the skills to help me do it.”
I’ve long had similar ideas for making huge models of polyhedra with mirrored interiors that we could walk inside, see the labyrinthine reflections and hear the equally fractal echoes; all metaphors of our projections mirrored back to us! :-) Colleague Sara Frucht of Berkeley, Calif. has some excellent smaller models she calls ‘Kaleidoscapes‘ with wonderful interior mirror reflections.
Golden Ratio and sound – John Chowning synthesis
Being a fan of early electronic music, I recently watched a DVD documentary entitled “Ohm+: The Early Gurus of Electronic Music“, featuring pioneers like Robert Moog and others in that genre of musical experimenters. I was happy to discover that track 14 featured a synthesized composition (computer generated) with both partials (harmonics) and relative timing of notes based on the golden ratio by FM synthesis pioneer John Chowning of the Center for Computer Research in Music and Acoustics (CCRMA) at Stanford University in Palo Alto, California. Here is an audio clip and some screen shots (both taken with my iPhone so the quality isn’t quite as nice as it could be, but I was a bit lazy), but you’ll get the idea and can rent this on Netflix (or elsewhere) if you’re interested. Ignore the cat meows, which aren’t on the original. :-)
Years ago, when I was studying electronic music at University of California Davis with Tony Gnazzo and Jan Pusina (the instructors there at the time), I recall learning of Chowning’s work during that era, and in particular of his using a tetrahedral arrangement of speakers (1 directly overhead, the other 3 equally spaced at 120 degree angles from the listener) to do acoustically realistic 4-channel audio spatial modulation. I remember that one of his experiments was taking a recording (using 4 microphones with the same 3-D spacing) to simulate a fly buzzing around someone’s head, and being able to simulate this using computer-generated 3-D spatial modulation.)
Enjoy!
GeometryCode bulletin for September 2014
(1) News, Events, Interviews, Workshops, Classes, Exhibits, Products, Articles, Tutorials
Mutation game – prototype
Inventor Mark White recently sent me a prototype – check out his KickStarter campaign – for his very cool new “Mutation” game which allows 4 white and 4 black ‘knobs’ to traverse the edges of a colorful dodecahedron. You get an intuitive and kinesthetic sense of the shape and its topology by traversing the edges and it has a good ‘feel’ in your hand. The goal of one of many possible games is to be the first to make your 4 knobs (white or black) into a tetrahedral pattern. Here’s a bright youngster at a recent science event I participated in playing with the proto.
More fun with Zometool
At the aforementioned educational event (the Castle Rock, Colorado library “Full STEAM Ahead program” Science-Technology-Engineering-Arts-Mathematics) last weekend, I set up a demo showing a recursive video animation I did of the nested Platonic solids on my laptop … along with a 3d model made from ZomeTool which some of the young event participants helped me to add to, making a sort of quasi-partially-truncated inner-stellation (nowhere near mathematically correct jargon, but you kinda get the idea :-) of a cube with green and blue struts which enclosed the outermost octahedron. Fun! :-)
Kindle edition of The Geometry Code turned 2 yesterday
Amazing that it’s already been a couple of years since I released the Kindle edition of the book: The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation … You can read more about this geometric/Hermetic/metaphysical romp here, and download the first chapter for free here. The ‘tree-ware’ version has been around even longer for those that enjoy a ‘real book’ to curl up with.
(2) Websites, Books, Videos, Imagery, Music and Quotes
- neat article: New Experiment Will Answer Some Mind-Bending Questions On Whether We Live In a Hologram
- Dream Art Gallery (thanks to Ed Kellogg for this, and numerous other submissions!)
(3) Request for Submissions
Facebook, YouTube, Twitter, Pinterest and LinkedIn. I always enjoy connecting with both recent and long-time friends and colleagues and discovering new friends of friends :-)Thanks for your interest & support! :-) BTW, I always appreciate enthusiastic reviews on the Amazon SGDS book page, and the newer Amazon book page for The Geometry Code. It’s a good “win-win” way to cross-promote your work as well.
If you like to color with colored pencils (or other media), make 3-D fold-up geometric art, do stained glass, quilts, geometric arts and/or crafts, or just want an extensive reference/resource of geometric archetypes, patterns and essential line art, you might enjoy a copy of my first book, Sacred Geometry Design Sourcebook: Universal Dimensional Patterns.
If your leanings are more metaphysical … and perhaps whimsical :-) … you might enjoy my second book, The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation. It was originally going to have geometry and Hermetic Laws/symbolism as a primary focus, but in 2007, a reawakened interest in the spiritual masterpiece, A Course In Miracles – thanks to Gary Renard – shifted the primary emphasis to an exploration of the two thought fundamental systems we all vacillate between, and how we can gradually shift our mind’s identity to the happy one.
PO Box 192, Castle Rock, Colorado 80104
author of The Geometry Code book; co-author of The Geometry Code screensaver
author of Sacred Geometry Design Sourcebook
Free monthly email bulletin on sacred geometry and related subjects
You might also enjoy my blog which has lots of other fun and info in addition to these bulletins.