Geometry Code

Sacred Geometry Media Resource Blog

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Beading in 3D, 120-cell 3D printed models and more

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Half of a 120-cell (3D printed model)

I received a general question via email from a visitor to GeometryCode.com interested in beading 3-dimensional shapes. Here are the results of my explorations in the process of very quickly researching this question, and my response:

Since your original question was about beading – although many of these may not have geometric aspects of interest – here are some example of 3D beading quite a few example videos of 3D beading that might be helpful.

Since a new dimension is being added (with infinite variations on what can be added to go from 2D to 3D) there are numerous ways to make a 3D pattern from a 2D pattern; these include:

  1. extruding (translation of ) a 2D shape: just making identical copies of the 2D pattern stacked atop each other
  2. rotation or reflection of a 2D shape around either the X or Y (or another axis in the plane of the 2D image)
  3. using other symmetry or symmetries within the 2D object(s) to replicate aspects into the z-axis
  4. countless other variations …

If you already have a 3D image in mind (such as you will find in Sacred Geometry Design Sourcebook on pages 189 (Great Pyramid fold-up model) or Platonic and Archimedean Solids, variations, etc. 196-229 or (space filling polyhedra and close-packing of spheres on page 239, for example) you already have a 3-dimensional pattern to start with. If you have a specific media (such as beading, stained glass, wood-working, welding, Zometool, 3D printing, magnetic spheres, or countless other media variations), you will have other constraints and opportunities to explore. In order to assist further, I would need to know which image on which page in SGDS – since there are over 1300 images in the book! – you have in mind to use for your 3D design.

If you want to make a prototype (or multiple identical copies) you might want to explore 3D printing. There are now somewhat affordable 3D printers, and lots of local 3D printing services. Here’s an example (the “Half of a 120-cell” image on this page) of a 3D-printed geometric shape with kudos to Henry Segerman and Saul Schleimer. Be sure to watch the videos in addition to on this page about the associated images, such as Quintessence (which evidently is also a 3D/4D puzzle/toy which looks wonderful), Triple helix, and Triple gear; fascinating! … and don’t forget to check out the 3D art of Bathsheba who has some exquisite 3D geometric art. :-)

GeometryCode bulletin for November 2013

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(1) News, Events, Interviews, Workshops, Classes, Exhibits, Products, Articles, Tutorials

MartineauMarsVenus-colorize

The image above is a colorized version of one of the exquisite images in John Martineau’s “Little Book of Coincidence”, depicting the ‘dance’ of the orbit of Venus in relation to the orbit of our earth. The pentagonal relationship also is reflected in the lower left image (of the 12 below) showing the perigee/apogee relationship with Earth and Venus. His astonishingly accurate 3-D models of our solar system inspired the calendar below, freshly updated for 2014… Here’s where you can learn more and order a copy of this astronomically astounding calendar, with the price reduced from last year as well.

Solar System Geometries per Martineau - 2014 calendar

More goodies for sacred geometry enthusiasts…

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 (or a family member or friend) might enjoy a copy of my first book, Sacred Geometry Design Sourcebook: Universal Dimensional Patterns. I keep finding the images from this book on cool Pinterest pages such as this one, and elsewhere, so I know they are finding lots of uses by lots of people with a wide variety of uses since I finished the book in 1997 and published it a year or so later.

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.

Zometool Cat SGDS page 212 GreatRhombicosidodecahedron (partial)

If you (or a family member or friend) enjoys tinkering with geometric modeling systems, don’t overlook ZomeTool in your holiday (or any time of year) gift plans. I’m just a big kid when it comes to these superb, precision-crafted parts that can make a staggering number of geometric 3-D models. Besides, after the recent floods that swept through their factory in Longmont, Colorado, I’m sure they could use a little boost to help their business recover. Here are some of the prior posts and references I’ve made to ZomeTool within the archives of GeometryCode.com … and other affiliates and geometric toys/tools/gizmos.

(2) Websites, Books, Videos, Imagery, Music and Quotes

Here are a few websites and links of interest to sacred geometry enthusiasts:

(3) Request for Submissions

If you would like to stay connected and network with kindred souls online, check out my pages on
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 :-)
As always, please let me know how I might support you. Please send me any interesting items about sacred geometry or related interests … since everything is inter-related!
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.
Bruce Rawles
PO Box 192, Castle Rock, Colorado 80104
co-author of The Geometry Code screensaver
author of Sacred Geometry Design Sourcebook
Free monthly email bulletin on sacred geometry and related subjects
Please join me on Facebook and LinkedIn.
You might also enjoy my blog which has lots of other fun and info in addition to these bulletins.

Froebel Gifts special package and Wooden Books from Red Hen

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Chinese Froebel Gift - Special Set

I just got word from Scott Bultman of Red Hen about a special limited supply of the Froebel Gifts just added to his website. If you are a teacher or home-schooler, this sounds like a great opportunity while his supplies last. Here’s the email I got from Scott:

“Bruce:
I don’t usually e-mail to promote products but I recently came into a batch of Chinese-made Froebel Gifts. These are complete sets of Gift 1-10 (plus a grid tray, stringing beads, etc.) for $225, including delivery. The quality is almost as good as the sets we sell, but the boxes are not quite the same and the imprint reads “Gabe” so I can’t mix them in with my other sets. Still, the price was amazing and I’d like to pass that discount on to educators who’ll use these sets with kids. So I’ve set up a private sale here.  When the sets are gone, the online store will show them out-of-stock. It’s a get ‘em while you can deal.”

Scott has also added many of the wonderful titles from Wooden Books (John Martineau‘s superb series) in his catalog here, such as Simple Shelters, The Elements of Music, Ruler and Compass, Sacred Geometry, The Golden Section, Symmetry, Harmonograph, Platonic and Archimedean Solids, Sacred Number, A Little Book of Coincidence (one of my favorites), and Sun, Moon and Earth. I’ve immensely enjoyed all of the Wooden Book series gems I’ve seen and I’ve collected quite a few.

Sacred Geometry book by Miranda Lundy

September 2012 GeometryCode Bulletin

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Sacred Geometry bulletin for September 2012:

(1) News, Events, Interviews, Workshops, Classes, Exhibits, Products, Articles, Tutorials

Circle folding play with grandkids

Tetrahedral Fractal 550w
Recently our grandkids Arianna (pictured with the tetrahedral fractal on her head; we later added a nested octahedron inside the 4 tetrahedra) and Nicholas were here for some (paper plate) circle folding practice. We went through some of the exercises/shapes from the Series Book 1 of Bradford Hansen-Smith’s Explore Folding of the Circle which includes the five platonic solids, three primary polyhedra (including a spherical version of Bucky Fuller’s vector equilibrium a.k.a. cuboctahedron) and ‘one principled pattern.’
His excellent books provide both the theory and background for teachers and/or home-schoolers, as well as lots of inspiration to explore further. Here is an example photo and illustration from that first geometric exercise book.
Explore Folding Of The Circle Book 1 (example imagery)
Check out last month’s bulletin for more about Bradford Hansen-Smith’s superb videos, books and website.

Class: Universal Symbolic Mirrors of Natural Laws: Denver, CO Nov 5, 2012

Universal Geometries of Inclusion: How Symbolic Mirrors of Natural Laws Become Reminders for Kindness - Denver class 5Nov2012
On Monday, Nov. 5, 2012, from 7-9PM (Mountain Time) I’ll be giving an evening multimedia class/presentation: “Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation” at Shining Lotus Metaphysical Bookstore, 2178 S. Colorado Blvd., Denver, CO 80222 I will share LOTS of visual multimedia imagery, animation and more, along with plenty of theory on the mystical underpinnings of sacred geometry, the seven ancient Hermetic laws of truth, take-home lessons from modern physics, and how the non-dual metaphysics of inclusion, kindness and forgiving our self-judgments is key to sustainable happiness! :-) There will be a book-signing after the class; both of my books, Sacred Geometry Design Sourcebook and The Geometry Code, are available from Shining Lotus Metaphysical Bookstore. Space is limited to 20 participants, so please contact me ASAP if you’re interested and want to pre-register.

Lulu 25% off (on orders of $100 or more) sale through Friday, Sep. 14, 2012

Sacred Geometry Design Sourcebook (SGDS)
Visit Lulu.com before midnight Friday (Sep. 14, 2012) and note use code EQUES, and apply the discount to items like the book Sacred Geometry Design Sourcebook (SGDS) Universal Dimensional Patterns or the 2013 calendar Solar System Geometries per Martineau and/or other great titles – over a million! – on Lulu.com. You might want to check out my new Lulu storefront there, too.

Zazzle 50% off sale (on all cards) through Sunday

Gallery: Martineau Solar System: Venus And Mars Per Martineau
Zazzle.com is having a 50% off sale on ALL cards until Sep. 14, 2012 at 11:59pm Pacific Time. Use coupon code DEALSONCSARDS during checkout. So if you’d like a great deal on playing cards, business cards, or sendable (greeting) cards, including sacred geometric images from the Martineau Solar System series or other sacred geometry themes, now is a great time!

Thanks for your generous support for The Geometry Code book!

Many of you either bought a copy of The Geometry Code book on June 5th (the official ‘launch day’) or shortly thereafter. MUCH appreciated!!! The Kindle version is looming even closer the upcoming ‘radar’ too.
The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation - front cover artwork
You can read all about The Geometry Code book, including an overview, the intended audience, and much more here. If you enjoyed what you read in The Geometry Code book, I’d very much appreciate positive reviews on The Geometry Code – Amazon page here. If you are looking for a book that emphasizes the patterns and shapes (and briefly touches upon the metaphysics of interconnectedness) Sacred Geometry Design Sourcebook is also available.

Recent Radio/Webcast Interviews/Podcasts/Videos

I’ve been updating the Events page with upcoming, ongoing, and past radio and internet interviews, presentations, and more.
Among the recent past interviews I’ve participated in (with free audio archives online that you can listen to) are:

… and many more workshops, presentations, exhibits and more on the Events page.
I always enjoy talking about the non-dual Metaphysics, Psychology, Symbolism, Philosophy and more contained within the book “The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation” which is available here.

(2) Websites, Books, Videos, Imagery, Music and Quotes

Colleague Michael Schneider has a new, lavishly illustrated and animated DVD: Constructing The Universe: A Journey From 1 to 12 which I just watched in its entirety… brilliant, yet very easy to follow and clearly explained, beginning at the bare basics and culminating in compelling cosmologies. Each of the first 12 counting numbers receives a first class tour through realms mundane to mystical, deepening our appreciation of numbers and their geometric interconnections from many disciplines, traditions, and perspectives. I always learn something new and interesting from his work. I highly recommend it!
I also frequently recommend his classic book A Beginner’s Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science as an excellent companion (with complementary approaches) to SGDS for those new to the study and exploration of sacred or mystical geometry.
Here’s an example photo taken from our TV screen (the actual image quality is MUCH better) showing how nested circles defined by a dodecagram and an equilateral triangle compose the geometry of the classic labyrinth at Chartres Cathedral.
Michael Schneider-study showing how nested circles defined by a dodecagram and an equilateral triangle compose the geometry of the classic labyrinth at Chartres Cathedral

(3) Request for Submissions

If you would like to stay connected and network with kindred souls online, check out my pages on
Facebook,
YouTube,
Twitter
Pinterest and
LinkedIn.
I’m enjoying connecting with both recent and long-time friends and colleagues and discovering new friends of friends :-)
As always, please let me know how I might support you. Please send me any interesting items about sacred geometry or related interests … since everything is inter-related!
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.
Bruce Rawles
PO Box 192, Castle Rock, Colorado 80104
co-author of The Geometry Code screensaver
author of Sacred Geometry Design Sourcebook
Free monthly email bulletin on sacred geometry and related subjects
Please join me on Facebook and LinkedIn.
You might also enjoy my blogwhich has lots of other fun and info in addition to these bulletins.

Archives of monthly email bulletins before 2012

The Geometry Code book - Sample Chapter - Cover Page 1