• Skip to secondary menu
  • Skip to main content
  • Skip to primary sidebar

Geometry Code

Sacred Geometry Media Resource Blog

Sacred Geometry Resources, Books, Conversations, Art Prints, Cards, Screensavers, Videos, Patterns, Blog and more
  • Intro
  • Shop
    • Bibliography
    • Gallery
      • Gallery: Martineau Solar System
      • Gallery: Sacred Geometry Animations
    • Sacred Geometry Art Cards
    • Sacred Geometry Art Prints
    • Sacred Geometry Books
      • Sacred Geometry Design Sourcebook (SGDS)
        • SGDS: Free Samples
          • Sacred Geometry Design Sourcebook – sample – (page 101) Circle on Each Dodecagon Edge Fractal
          • Sacred Geometry Design Sourcebook – sample – (page 189) Great Pyramid Fold-up Pattern with Pi and Phi Proportions
          • Sacred Geometry Design Sourcebook – sample – (page 216) Great Dodecahedron Fold-up Pattern
          • Sacred Geometry Design Sourcebook – sample – (page 224) Star Tetrahedron Fold-up Pattern
          • Sacred Geometry Design Sourcebook – bonus page – Kepler’s Solid
        • SGDS: FAQ
        • SGDS: Kudos
        • SGDS: Ordering
        • SGDS: Bookstores
        • SGDS: Printable Order Form
        • Sacred Geometry Design Sourcebook – Paypal Orders
      • Mandalas der Heiligen Geometrie (MDHG) das Universale Design der Natur (SGDS German edition)
      • 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
        • The Geometry Code book: Preface by the Author
        • The Geometry Code: book endorsements
        • Acknowledgments (abridged) for The Geometry Code book
        • Buy The Geometry Code book
        • Table of Contents: The Geometry Code book
    • Sacred Geometry Calendars
    • Sacred Geometry Digital Products
    • Sacred Geometry Screen Savers
      • Sacred Geometry Screen Savers: The Geometry Code – Meditation Tool, ScreenSaver, and eBooklet
        • Praise for The Geometry Code – Meditation Tool, Screen Saver, and eBooklet
      • Sacred Geometry Screen Savers: LightSOURCE screensavers and DVDs
    • Sacred Geometry Toys and Tools
      • Use Zometool to build models from SGDS
    • Sacred Geometry Video Patterns
      • Video Patterns: Circulars, Triangulars and More
      • Video Patterns: Flower of Life and Rectangulars
      • Video Patterns: Hexagonals
      • Video Patterns: Pentagonals
      • Video Patterns: How to use
    • Sacred Geometry Videos
    • GeometryCode.com Affiliates
  • Resources
    • Blog
    • Bulletins
      • 2015 Bulletins
      • 2014 Bulletins
      • 2013 Bulletins
      • 2012 Bulletins
      • Sacred Geometry email bulletins archives through 2011
  • About
    • Events
      • Annual Sacred Geometry Multimedia Contest – legacy page
    • Contact Us and Recent Visitors
    • Donations and Contributions
    • Support
    • Our Web Sites
    • Sacred Geometry – Consulting Services
    • Link To Us
    • Media Kit – Elysian Publishing and Bruce Rawles
    • Sacred Geometry Glossary
    • Copyright Information
    • Disclaimer
  • Free
    • Platonic Solids – Fold Up Patterns
    • Archimedean Solids – Fold Up Patterns
    • Polyhedra: Illustrations of Platonic And Archimedean Solids
    • Polyhedra: Math Tables for Platonic And Archimedean Solids
    • How to graphically derive the Golden Ratio using an equilateral triangle inscribed in a circle
    • How to calculate the area of the Vesica Piscis
    • Rotating Star Tetrahedra, Polyhedra – Animations and Ray Traced Images
    • How to graphically make the “Seed of Life” pattern using a compass
  • Subscribe
    • Privacy Policy
    • How to graphically divide a line by the Golden Ratio using a straightedge and compass
    • Sacred Geometry Bookmarks – Pentagonal Spirals
    • Sacred Geometry Wallpaper (desktop image) – Venus and Mars per Martineau
  • Site Map
You are here: Home / Blog

Blog

Plato’s Spirit, Carl Sagan’s Blue Dot, Contact, symbols and sources

Saturday, 27 July 2024 by Bruce Rawles

"Pale Blue Dot" Voyager 1 photo of earth (NASA/JPL-Caltech)
“Pale Blue Dot” Voyager 1 photo of Earth (NASA/JPL-Caltech)

“The Pale Blue Dot is a photograph of Earth taken Feb. 14, 1990, by NASA’s Voyager 1 at a distance of 3.7 billion miles (6 billion kilometers) from the Sun.”

*A year or so ago, a friend reminded me of this inspiring prose “The Pale Blue Dot” by Carl Sagan (copied below) inspired by the NASA image above… and the ever-increasing importance of finding and supporting the interests we ALL share on this tiny planetary sphere we call home:
“Look again at that dot. That’s here. That’s home. That’s us. On it everyone you love, everyone you know, everyone you ever heard of, every human being who ever was, lived out their lives. The aggregate of our joy and suffering, thousands of confident religions, ideologies, and economic doctrines, every hunter and forager, every hero and coward, every creator and destroyer of civilization, every king and peasant, every young couple in love, every mother and father, hopeful child, inventor and explorer, every teacher of morals, every corrupt politician, every “superstar,” every “supreme leader,” every saint and sinner in the history of our species lived there-on a mote of dust suspended in a sunbeam.
The Earth is a very small stage in a vast cosmic arena. Think of the endless cruelties visited by the inhabitants of one corner of this pixel on the scarcely distinguishable inhabitants of some other corner, how frequent their misunderstandings, how eager they are to kill one another, how fervent their hatreds. Think of the rivers of blood spilled by all those generals and emperors so that, in glory and triumph, they could become the momentary masters of a fraction of a dot.
Our posturings, our imagined self-importance, the delusion that we have some privileged position in the Universe, are challenged by this point of pale light. Our planet is a lonely speck in the great enveloping cosmic dark. In our obscurity, in all this vastness, there is no hint that help will come from elsewhere to save us from ourselves.
The Earth is the only world known so far to harbor life. There is nowhere else, at least in the near future, to which our species could migrate. Visit, yes. Settle, not yet. Like it or not, for the moment the Earth is where we make our stand.
It has been said that astronomy is a humbling and character-building experience. There is perhaps no better demonstration of the folly of human conceits than this distant image of our tiny world. To me, it underscores our responsibility to deal more kindly with one another, and to preserve and cherish the pale blue dot, the only home we’ve ever known.”
― Carl Sagan, Pale Blue Dot: A Vision of the Human Future in Space

sphere inside dodecahedron (inside rotating circular hoops) frame from the movie "Contact" by Carl Sagan

Recalling a cameo role played by a dodecahedron – a symbol for “Ether” (or Spirit) according to Plato – in a major motion picture, I recently re-watched (and enjoyed from a very different perspective) a movie I hadn’t seen in decades, Contact, written by Carl Sagan and Ann Druyan, starring Jodie Foster and Matthew McConaughey. The two stars seemed to search for meaning via science and religion respectively. It would appear that neither can find what they are searching for in isolation, just as we miss the “big picture” when we exclude other grander perspectives, putting our tiny lives in context. The very touching scene (toward the end of the movie when her dodecahedral “craft” fulfills its mission of transcending our understanding of space and time) where Foster’s character is reunited with her father in perhaps “another dimension” suggests that only our limiting perspectives and beliefs needlessly constrain us.

I recall attending a lecture in San Francisco, California in the 1970s by Dr. Ramamurti S. Mishra who compared science to a blind man and religion to a lame man; they are far more effective when they teamed up by the lame man metaphorically riding on the blind man’s shoulders. We’re all – it would seem – like individuals trying to make sense of our isolated perspectives like the proverbial “Blind men and an elephant.”

The movie also featured cameo appearances (in terms of locations) by the (now defunct) Arecibo Observatory Radio Telescope – a sizable geometric structure! – and the Very Large Array (VLA) Radio Telescope (a two-hour drive from Albuquerque, 50 miles west of Socorro, New Mexico which my wife & I visited a couple of decades ago) consisting of movable large radio telescope dishes on railroad tracks, allowing the virtual aperture to be adjusted (or something like that; my recall of the science is a bit rusty.) Both of these facilities employ lots of geometric engineering!

What prompted watching the Contact movie again (via a YouTube sidebar suggestion) was this brilliant video clip by Sagan (from his Cosmos series) that related 2D to 3D to 4th-dimensional polytopes – “flatland” squares to cubes t0 HyperCube tesseracts – and inspired my pencil metaphor decades later.


Plato (who studied and reported Socrates) suggested that symbols are not the source they represent. So if geometric symbols (such as spheres, dodecahedra, and the like) merely represent the eternal ideas that outlast and transcend the specific ephemeral instances of the forms that point to the concepts, principles, laws, and ideas they represent, it would behoove us to keep looking for the reality behind and beyond the forms that are limited by the particular spaces and times they appear to inhabit. Mind envelops matter; the Source contains – but is not limited by – symbols, which are mere shadows of what they represent, as Plato’s Allegory of the Cave would suggest. The content of the mental universe is more profound than any examples in form could possibly convey.

If you scroll down on any page of this website, you will notice a symbolic hand with a forefinger pointing up; this image was cropped from Plato’s representation in “The School of Athens.” Read more about this in a post from earlier this year.

Filed Under: 3D Geometries, Platonic Solids, polyhedra, sacred geometry architecture, sacred geometry art, sacred geometry news, sacred geometry videos

A few German sacred geometry books available for shipping costs only

Sunday, 21 July 2024 by Bruce Rawles

Update 21 July 2024: We’ve been in Arizona for exactly a year today, and I still have a handful of German books to find homes for, so I’m re-dating this post in case anyone would like to purchase a book for only my shipping costs!


(Originally published 25Jun2023):

We’re making good progress toward moving to Arizona (mid-July 2023)  so I’m anticipating having more time to do in-depth posts after our move. Meanwhile, I’d still like to lighten our load and not move these books yet another time… I’m offering (until mid-July, while supplies last) – limited supply; limited offer) asking only for my shipping costs (US only) or free if you happen to be on the central Oregon coast and can pick them up here in Yachats before we move! in the Tucson, AZ metro area and can pick them up.

German sacred geometry books are available for shipping only (for a limited time!)

I have a handful of both of my German-translated books:

  • Mandalas der Heiligen Geometrie (MDHG) das Universale Design der Natur (SGDS German edition)
  • Bewusst malen – Heilige Geometrie

(If you live in Germany, you’ll probably want to order the Bewusst malen – Heilige Geometrie book, still in print, directly from the publisher, Silberschnur Verlag, since the shipping from the USA to Germany is likely more than buying it locally.)

If you speak German or know someone who does and has the least interest in geometry, I am offering special FREE books (very limited supply) of both of these books if you cover my postage costs. If you live near Yachats, Oregon, Green Valley, Arizona, you can pick them up here and skip the postage expense. For details on these limited-time, limited-supply books, contact me.

Note that you don’t have to be able to read or understand German to enjoy either of these books, as they are both lavishly illustrated – FAR more imagery than text. Also, each copy of the out-of-print MDHG book has a unique set of die-cut fold-up models of the 5 Platonic Solids (included behind the back cover) that make a neat mobile if you add your own thread.

MDHG Platonic Solid fold-up mobile

Please contact me before mid-July 2023 if you are interested in this special offer!

Mandalas der Heiligen Geometrie (MDHG): German edition of Sacred Geometry Design SourceBook by Bruce Rawles - GeometryCode.com

sacred geometry coloring book (German): Bewusst malen - Heilige Geometrie by Bruce Rawles


Here are a few more interesting geometry-related links (videos) that have crossed my path recently; several short introductory videos that add some useful and interesting additions to commonly cited facts:

  • Golden Spiral Symbol – What Does It Mean?
  • What Makes the Golden Spiral Symbol Special?
  • What is Sacred Geometry? (evidently using an AI-generated voice/script?)
  • How Does the Golden Spiral Relate to Sacred Geometry?
  • What is the Meaning of the Golden Spiral?
  • What are Some Examples of the Golden Spiral?
  • What is the Fibonacci Sequence?
  • … and several others…

Filed Under: 2D Geometries, 3D Geometries, coloring books for adults, Fractal Geometry, golden ratio, Platonic Solids, polyhedra, sacred geometry art, sacred geometry books

Rubik meets Plato in toyland: geometry toys update

Saturday, 22 June 2024 by Bruce Rawles

Geometric toys, puzzles, and amusements have been around for who-knows-how-many millennia but in the last few decades, a convergence of technologies and mathematical understanding and explorations has exploded the possibilities and offerings. While there are countless potential geometric toy concepts, we’ll focus (at least at the end of the post) on the permutations of the Platonic Solids. If one wants to have a huge range of options (including – but hardly limited to – the famous fave five Platonic Solids), my first recommendation is Zometool – the virtues of this versatile construction system this site extolls within numerous posts. There are also 5 pages of posts with geometric toys already mentioned on the GeometryCode website, including RedHen Educational Books and Toys, Fractiles, Astro-logix, and more.

All Five Polyhedra - Octahedron outermost: Nested Platonic Solids model using Zometool; note the golden ratio division of octahedral edges defining icosahedron vertices
All Five Polyhedra – Octahedron outermost: Nested Platonic Solids model using Zometool; note the golden ratio division of octahedral edges defining icosahedron vertices

Before we look at Platonic Solid-inspired toys, the Hoberman Sphere is a fun toy that deserves mention; it collapses down to a dense “solid” at a fraction of the expanded circumference:

… and a related (and very fun to toss up and down and watch colors change) Hoberman Switch Pitch Ball – check out the video to see how this works.

There are countless ways to “build” a cube and the SHASHIBO Shape Shifting Box transforms into over 70 shapes, emerging from … and returning to … a cube.

SHASHIBO Shape Shifting Box

Platonic (Solid) Toys and Puzzles

The most ubiquitous of the 5 Platonic solids is the (hexahedron) cube and when one subdivides its six square sides into multiple (tiled, tesselated) sub-faces interesting topological possibilities arise!

The Rubik’s Cube was invented a half-century ago, on May 19, 1974. (I just missed it by a month! Happy summer solstice 2024, BTW!) When (about that same time frame) I was an undergraduate studying Electrical Engineering (Circuits and Signal Processing) at UC Davis (California) I recall two class assignments involving the Rubik’s Cube. The first (for a computer programming class, I believe using Algol) was to solve the puzzle using any arbitrary orientation of the faces; fortunately, we were given the algorithm (not Al Gore rhythm) as implementing it was plenty challenging enough! The second class assignment (in a newly launched class titled “Computer Graphics”) was to make a 3d virtual model of the cube, and print out images like the one below, along with various assigned rotations.

Rubik's cube

configurations of a 2×2×2 Rubik's cube
The configurations of a 2×2×2 Rubik’s cube reachable using only half twists form a Nauru graph. Wolfram (2022) analyzed of the 2×2×2 Rubik’s cube via a multiway graph, the first few steps of which are illustrated above.

Here are numerous 2×2, 3×3, 4×4, 5×5 + 6×6 + 7×7 toy variations of the famous (and mathematically analyzed Rubik’s Cube (dividing each square face into 4, 9, 16, 25, 36 or 49 smaller squares) that should keep spinners and fidgeters busy for quite a while. Here’s one with 486 (9 x 9 x 6) small rectangular or square facets:

puzzle cube 9x9

“Hungarian design teacher and serious puzzler Erno Rubik assembled his first cube puzzle in 1974 and called it the Magic Cube. After a toy agent pitched the puzzle to Ideal Toy & Novelty Company, it renamed the puzzle Rubik’s Cube and began putting it in stores in 1980.” – from the Strong National Museum of Play

It’s interesting that the product description used just about every sort of related word EXCEPT dodecahedron!

Dodecahedron puzzle: GAN Megaminx Maglev
GAN Megaminx Maglev, Pentagonal Magnetic Speed Cube with 160 Magnets, 3x3x3 Fast Smooth Tension Adjustable Anti-POP STEM Toy 3D for Kids Boys Children Practice Competition, UV Coated-Grey Base (thanks to Marisa C. for sending this link)

There are many variations of these available online, including some inexpensive options.

Here is an octahedron puzzle …
Octahedron Diamond Puzzle

… and an example of a tetrahedron puzzle …

Tetrahedron Puzzle

While there aren’t any moving parts in these icosahedra, rotating the entire shape by hand provides a mesmerizing and aesthetic demonstration of refractive color mixing:

CMY Cubes The Motus (30mm) – Cyan, Magenta & Yellow Polyhedron – Subtractive Color Mixing Optical Icosahedron – Teaches Subtractive Color Mixing – Educational, Physics & Kinetic Art Desk Object

Do-it-yourselfers with some mirrored glass (and abundant care) might try making their own Kaliedoscapes, a name coined by fellow geometer, Sara Frucht who gifted me a small 3-triangular-mirror version decades ago which I have since given away before our most recent downsizing move. What’s quite fun is to see the “virtual polyhedra” that appear when the triangles are slightly truncated, or when an object such as a small rubber ball is dropped into the corner. Here’s a cool video that I’ve shared before with more examples.

Of course, Plato would remind us – while we spin, rotate, fidget, and morph these myriad manifestations – to look for the essence behind the ephemeral, the source beyond the symbol, the reality that transcends the reflected form.

Filed Under: 3D Geometries, Platonic Solids, sacred geometry animation, sacred geometry toys

Circle as symbol: Inclusion or exclusion?

Friday, 31 May 2024 by Bruce Rawles

The Introduction to this website (Sacred Geometry Introductory Tutorial) begins with a geometric symbol that is perhaps the simplest and yet most profound – the circle. Circular patterns and archetypes appear in countless variations in nature, art, architecture, engineering, and just about every area of life we can imagine. Here are a few familiar examples; I’m sure you can think of countless others, both microscopic, macroscopic (telescopic) and in between, in all dimensions of space, time, metaphor, and thought. We touched on the sphere (Music of the Spheres – The Planets) in a recent post; the 2-dimensional counterpart to the sphere is the ubiquitous circle and provides the foundation for it’s rotation into spheres of any number of dimensions – the quintessential template for polytopes beyond our imagination. Rather than getting boggled or bogged down with those mind-warping ideas, let’s return to the simplicity of the circle.

circle: eyecircle: full moon circle: cucumber cross-section circle: water droplet and concentric ripples circle: pipe cross-sections circle: generic clock face

All of these visual examples are reflections of a form reflecting an ideal; here is what appears in the Introduction to this website (slightly edited from the original):

The Sphere


(charcoal sketch of a sphere by Nancy Bolton-Rawles)

Starting with what may be the simplest and most perfect of forms, the sphere is an ultimate expression of unity, completeness, and integrity. No point of view is given greater or lesser importance; all points on the surface are equally accessible and regarded by the center from which all originate. All atoms, cells, seeds, planets, and globular star systems echo the spherical paradigm of total inclusion, acceptance, simultaneous potential and fruition, the macrocosm and microcosm.

The Circle

The circle is a two-dimensional shadow of the sphere, regarded throughout cultural history as an icon of the ineffable oneness; the indivisible fulfillment of the Universe. All other symbols and geometries reflect various aspects of the profound and consummate perfection of the circle, sphere, and other higher dimensional forms of these we might imagine.

The ratio of the circumference of a circle to its diameter, Pi, is the original transcendental and irrational number. (Pi equals about 3.14159265358979323846264338327950288419716939937511…) It cannot be expressed in terms of the ratio of two whole numbers, or in the language of sacred symbolism, the essence of the circle exists in a dimension that transcends linear rationality. Our holistic perspectives, feelings, and intuitions encompass the finite elements of the ideas within them, yet have a greater wisdom than can be expressed by those ideas alone.


When I was writing my first book (Sacred Geometry Design Sourcebook – Universal Dimensional Patterns), the cover art as well as a majority of the 1300 images (including corner “thumbnail” variations) feature circles, either directly or indirectly, so I made a graphical index, rather than a text-oriented one; the dots that dominate the first column (circles and spheres) in these 2 pages hint at the importance of these primal, archetypal, quintessential symbols: circles and spheres.

Sacred Geometry Design Sourcebook - graphical index - page 1 Sacred Geometry Design Sourcebook - graphical index - page 2


When I was writing my second book (The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation) I also used a “Fruit of Life” symbol (6 circles around an inner circle) to represent the interconnectedness and inseparability of all aspects of what is eternally true, reflected in the 7 Hermetic Laws of antiquity. These 7 circle-framed images (along with the other supporting graphics) are all set within a circle which intuitively reminds us of the infinite and eternal in our minds.

On page 62 of the Geometry Code book, I shared an idea that I find increasingly more helpful in both pragmatic and profound ways. Here is the graphic and supporting text for this portion of the chapter “Mentalism: 1st of the 7 Hermetic Laws”:

The Wikipedia definition of scapegoat is “Scapegoating is the practice of singling out one child, employee, member of a group of peers, ethnic or religious group, or country for unmerited negative treatment or blame.”

circle symbols: inclusive? or exclusive?

The biblical story of the scapegoat offers a very helpful clue. It employs the symbol of the circle as a mnemonic for practicing inclusion or exclusion. In historic accounts, the guilt (sins) of the community were projected onto a goat, which was then banished to the realms outside the inner flock – peripheral to the circle of what we’re willing to accept or allow in our minds. Everything within the circle is OK (innocent as lambs), and if you’re outside, tough luck, goat! The problem is that the very premise that divides wholeness into parts is flawed, and even the ‘good’ that remains begins to be suspect because of the inherent lack of trust. The circle closes in and eventually strangles the dualis- tic split mind into oblivion; it becomes a singularity and winks out; but not without a lot of grief and struggle!

Seeing ‘others’ as ‘out there’ throws away the gifts they bring to us each ʻpresentʼ moment that we lucidly bring their symbolic contribution as mirrors of self back into mind. This works for both seemingly positive and negative experiences, until ultimately we realize that any so-called good experience (e.g. pleasure) in the world is no better or worse than any so-called bad experience (e.g. pain) in the world, because those experiences are all projections of a massive dream that we’ve made up to reinforce the belief in separation. Ego can use any excuse to squander the gifts by assigning ‘otherness’ to others and losing the meaning that the intrinsic connection – always in mind – can bring.

Sometimes it’s blatant when we intentionally erect an inner wall and make a fence around those we ‘like’ or agree with and those we’re not so fond of. This has nothing to do with behavior since it would be impossible to physically assist or care for everybody (let alone all the animal, vegetable, and mineral ‘life’ on just this third spheroid helically spinning around our favorite star). However, it has everything to do with inwardly caring for all, equally. This is an egalitarian ideal we probably all pay lip service to in various ways, but then often find ourselves annoyed with certain ‘others’ or internally profiling a group (whether a species, family, region, nation, or galaxy) and then suddenly – Whoops! – there’s that nasty we/they paradigm in action again, begging for our self-forgiveness.


The profound helpfulness of these circle symbols is evident when we consider that a circle of infinite scope – total inclusion – has no one left out, no one excluded, no one denied, and all equally vital to the whole; each mind embracing this idea IS the whole seen holographically. When, on the other hand, we go with the polarizing default of inner/outer, we/they, us/them, no matter where the line is drawn – or whatever shape, for that matter, a circle is just a placeholder for any exclusionary perspective – we’re always at war with the alleged other in our mind. No peace is possible when the foundation for peace (total inclusion) is denied.

The pragmatic benefit of identifying with the “infinite circle” that includes all of us is that – with considerable practice! – we can train our minds to realize that we can truly afford to “Be kind, for everyone you meet is fighting a hard battle.” Even if there’s no instant transformation/manifestation in the surreal world of our space-time dreams, there is always an opportunity to forgive ourselves for dreaming of separation by seeing our shared interest of peace and benefitting from a tranquil mind in the process, regardless of what seems to be happening around us!

Since (in the USA at least) this is an election year, I try to remind myself that we only get to vote every year or so, but we vote for either the infinite (transpersonal) circle of embracing everyone in our gracious consideration – or the finite polarizing (personal) circle which leaves some out; our scapegoats outside the circle become our projected “goat-scape” yet the problem of our dualistic dueling dream has never left our mind.

Filed Under: 2D Geometries, 3D Geometries, Hermetic Laws, sacred geometry architecture, sacred geometry art, sacred geometry news

Geometric art in multiple media; what have you made or found of interest?

Sunday, 28 April 2024 by Bruce Rawles

Here’s an invitation to geometric artists (and enthusiasts) to share their creativity, explorations, and discoveries.

My wife Nancy – an artist who for years has worked mostly in acrylics – has recently been making some lovely (ceramic/clay) art while taking a variety of classes since we moved to Arizona last summer and is finding lots of great tutorials for her newfound media on YouTube and elsewhere online – alerted me to this carved (presumably clay) dodecahedron by Debi Stoliar. It has 4 faces with a radial starburst pattern and 1 face with a spiral twirled starburst. Way cool!

carved ceramic dodecahedron

Over the past few decades, I’ve seen lots of great geometric art, imagery, and more in numerous media, yet occasionally new media forms cross my path in delightful ways. If you search for your favorite geometric form using the search function at the top of the sidebar of this website, you’ll likely find lots of examples. I enjoy learning and discovering new and unique ways artists are transforming geometric ideas into physical and virtual art.

If you have some geometric art (2D, 3D, or otherwise) that we haven’t featured (or haven’t for quite a while) especially if you are using unconventional media, please use our contact form with a link to your art for consideration in the next monthly post on this website and/or our social media (Facebook, YouTube, Twitter a.k.a. X, Pinterest, Instagram, or perhaps another platform we haven’t explored yet! THANKS!

Here are a few dodecahedra (and related shapes) on this website:

Image: card Venus and Mars

dodecahedron lamp with blue LEDs along edges

Dodecadodecahedra Animation - still frame from video

 

fractal dodecahedron

zometool stellated dodecahedron

 

 

Dodecahedron Lamp with an inset Flower of Life pattern in each of the 12 pentagonal faces

 

Platonic Solid vertices from Metatron's Cube

All Five Polyhedra - Octahedron outermost: Nested Platonic Solids model using Zometool; note the golden ratio division of octahedral edges defining icosahedron vertices

Kepler's solar system models - outer and inner

Dodecahedral Bubble

Chrome Zometool earrings-jewelry

Nested Platonic Solid Recursive Loop Video - screen snap

Dodecahedron Star Lantern

Filed Under: 2D Geometries, 3D Geometries, Platonic Solids, sacred geometry art, sacred geometry news, sacred geometry toys

  • « Go to Previous Page
  • Page 1
  • Page 2
  • Page 3
  • Page 4
  • Page 5
  • Interim pages omitted …
  • Page 44
  • Go to Next Page »

Primary Sidebar

GeometryCode: Featured Products

The Geometry Code: book

Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation

learn more… Available Now!

The Geometry Code: Universal Symbolic Mirrors of Natural Laws Within Us; Friendly Reminders of Inclusion to Forgive the Dreamer of Separation - by Bruce Rawles (front cover artwork)

Buy The Geometry Code book and/or Kindle edition


Sacred Geometry
Design Sourcebook

learn more…



Buy this classic reference book


Sacred Geometry Art:
prints, cards, apparel

learn more…


Dodecahedral Bubble



Buy prints, cards, apparel


Martineau Solar System:
prints, cards, apparel

learn more…


Venus and Mars Per Martineau-cropped thumb



Buy prints, cards, apparel

GeometryCode: Recommendations

(GeometryCode.com Favorites on Amazon.com: books, Kindle, videos, art, software, tools, music, etc. will return here soon!)

Astro-logix - a unique system of glow-in-the-dark hubs and day-glow cylinders to make a phenomenal variety of 2D and 3D geometric models
Bluehost - our GeometryCode.com webhost and domain registrar offers superb customer service, technical expertise and value; tops in every respect!
Sacred geometry Jewelry Sacred geometry jewelry by artist David Weitzman Ka-Gold Related Content: Flower of Life, Seed of Life, Golden Spiral, Fruit of Life, Vesica Piscis, Star tetrahedron "Merkaba", Fibonacci Whirling Squares Spiral "Phi", Metatron's Cube, Chambered Nautilus, Labyrinth, Torus Tube, Tetractys, Sri Yantra mandala, Tree of Life, Hexagram (Star of David).
Fractiles Fractiles - Versatile geometric toys made of magnetic diamond shaped tiles
emWave Desktop Heartmath - Biofeedback using the heart's mathematics of interconnection
SacredGaiametry
Iconnect
Metaforms - chrome, bronze and gold-plated geometric pendants, 3D forms and more
Folding Circles - Books, Videos and Supplies - by Bradford Hansen-Smith
RedHen Books and Toys
Unique, hard-to-find educational materials, toys and books such as Bradford Hansen-Smith's circle folding videos, books and supplies.

ZomeTool Zometool - my favorite 3D creative tool/toy system. I use mine for demos and exploration.
More details on our complete list of affiliates; thanks for supporting us by using these links!

Disclosure: If you use our links to purchase featured products and services, we receive compensation from these companies (at no extra cost to you). We select on the basis of excellent performance and value, and, as much as possible, from our own use and testing. We're independently owned. Opinions expressed here are ours. We appreciate your support by purchasing from these links. The intent of this disclosure is compliance with the FTC's Guides Concerning the Use of Endorsements and Testimonials in Advertising.

Fibonacci Quarterly - Official Publication of the Fibonacci Association (since 1963)

Recent GeometryCode Posts

  • What really makes “sacred geometry” sacred: beyond symbols to source
  • Vandorn Hinnant – 45 Years of Dreaming with Open Eyes – Exhibition Catalogue
  • Encyclopedia of Polyhedra By George W. Hart … and other geometric gems
  • Non-Euclidean Geometries
  • M. C. Escher’s Geometry and Illusory Perspectives Revisited

Visit the archive site (authored by the late William Goldstein, a.k.a. Will Gold)
The New Invisible College - A Gateway to the Mystical Tradition of the West


Here’s where you can let us know how we can support you ... and how you can support us! Our virtual “tip jar” accepts a variety of methods of making financial donations; any greatly appreciated! You can use Zelle, Venmo, Wise, PayPal, and a check or money order in US dollars works as well.

Copyright © 1997-2025 · Bruce Rawles · Genesis Lifestyle Theme by StudioPress · customized by Intent Design Studio · hosted by BlueHost · WordPress · Log in

This website uses cookies to improve your experience. We'll assume you're ok with this, but you can opt-out if you wish. Cookie settingsACCEPT
Privacy & Cookies Policy

Privacy Overview

This website uses cookies to improve your experience while you navigate through the website. Out of these cookies, the cookies that are categorized as necessary are stored on your browser as they are as essential for the working of basic functionalities of the website. We also use third-party cookies that help us analyze and understand how you use this website. These cookies will be stored in your browser only with your consent. You also have the option to opt-out of these cookies. But opting out of some of these cookies may have an effect on your browsing experience.
Necessary
Always Enabled
Necessary cookies are absolutely essential for the website to function properly. This category only includes cookies that ensures basic functionalities and security features of the website. These cookies do not store any personal information.
SAVE & ACCEPT