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Highlights from the January Post Archives on GeometryCode.com

Thursday, 1 January 2026 by Bruce Rawles

I occasionally encounter ICYMI (In Case You Missed It) anthologies of archives from publications that have been around a while. Since that’s true for GeometryCode.com, I thought I would do the same for this site. I’m sure there are plenty of new (or newish) visitors who have probably never seen many of the prior posts from this website, as well as seasoned readers who may have missed or perhaps forgotten some of the content we’ve featured over the years… since 2009 (and before that for a decade or so on other websites such as our former online home, intent.com. (Thanks to the “Wayback Machine” for maintaining archives of our original, primitive (embarrassing by today’s standards) work in our early web explorations. The format and underlying architecture have changed significantly, but the content of “Sacred Geometry Home Page” hasn’t changed much since this snapshot from Jan. 15, 1998!)

With a bit of clerical assistance from AI, I’m presenting a retrospective (by month, starting with January) of some of the 222 prior posts from GeometryCode that might merit revisiting. However, I will still add new finds as they cross my path, so this quasi-sabbatical won’t be devoid of new content. If you (or someone you know) has something that would enhance this website, please let me know! Thanks for your many years of support while I spend a few months (probably a dozen) re-exploring perennial topics via prior posts with evergreen concepts, ideas, and imagery.

I am using chronological order (rather than the more conventional reverse chronological order), putting recent posts at the bottom to give buried content some breathing room for new or renewed exposure.

Welcome to our curated recap of some of the blog posts published in January across recent years on GeometryCode.com. Each entry below includes the post title, published date, and a graphic image from its content, presented as enticements for the curious to review prior content.

GeometryCode.com — Highlights from January Posts (from 2009 through 2025)

  • Intention and Symbols
    Published January 2009
    Villarceau circles: torus plane intersection yields vesica piscis cross-section
  • QR code for GeometryCode.com
    Published January 2011
    QRcode for www.GeometryCode.com
  • ZomeTool sculpture at Denver Art Museum
    Published January 2012
    ZomeTool-DenverArtMuseum2
  • Sacred Geometry bulletin for January 2013
    Published January 2013
    mirrored pentagon grid
  • Local Author event in Castle Rock, CO 18Jan2014
    Published January 2014
    Local Author Showcase - Castle Rock, CO
  • GeometryCode bulletin for January 2015
    Published January 2015
    7thTermFibonacciGarden-MichaelSchneider
  • The Dance of Venus
    Published January 2016
    The Dance Of Venus poster by John Martineau
  • Multiplication Tables on Circular String Art lead to Mandelbrot and classic curves
    Published January 2017
    Mathologer - String Art Mandelbrot
  • Assorted 3D model geometry links of interest
    Published January 2019
    HexaSticks 3D model
  • 3D Geodesic Animation inspiration
    Published January 2020
  • Geometric Lamps … and Coloring Pages by HYBYCOZO / COZO
    Published January 2022

These last few summaries are courtesy of ChatGPT. Each entry below includes the post title, published date, and a multi-paragraph summary of its content.

  • Cedar Sprig Symbolism: Freedom or Fragmentation?
    Published January 2023

    In this thoughtful January post, Bruce Rawles reflects on participating in a local New Year’s Day Peace Hike in Yachats, Oregon. He uses the symbolism of cedar sprigs as a metaphor for both individual and collective identity. He connects the fractal geometry of the cedar — with its self-similar branching patterns — to how we might view unity and fragmentation in human thought and social life.

    The post weaves imagery from the hike with contemplative commentary on how symbol and form interact: the geometric complexity of cedar sprigs becomes a lens to examine inclusion, peace, and the fractal nature of experience. Rawles draws philosophical connections between natural patterns and inner psychological landscapes, prompting readers to consider whether they view life through lenses of separation or wholeness. This piece blends personal narrative with meditative geometry, exemplifying the blog’s broader mission of uniting mathematical form with lived experience.

  • 2024 Martineau Solar System Calendars Available Now
    Published January 2024 (note that calendars are available again for 2026!)

    This post announces the release of the 2024 Martineau Solar System Geometry wall calendars — a perennial favorite among readers interested in precise geometric representations of planetary orbit relationships. The calendar series is built from ray-traced images that model the intricate spatial relationships among the planets, combining astronomical accuracy with sacred geometry aesthetics. These calendars serve both as functional datekeepers and as contemplative art pieces that invite reflection on the harmony of celestial mechanics.

    Beyond simply promoting the calendar’s availability, the post elaborates on how each month’s artwork is grounded in long-observed geometric patterns linking planetary motion to geometric forms. It draws a line from scientific modeling to artistic expression, inviting readers to contemplate how geometry underlies both the heavens and artistic representation. The narrative suggests that such resources — whether calendars, prints, or patterns — function as mirrors to natural law and can enrich both intellectual and aesthetic appreciation.

    Martineau solar system calendar -12 months

  • M. C. Escher’s Geometry and Illusory Perspectives Revisited
    Published January 2025

    This engaging post reflects on the work of Dutch graphic artist M. C. Escher and the ways that his art embodies rich geometric ideas. The author revisits classic Escher works — including impossible constructions, symmetry patterns, tessellations, and recursive spaces — and ties them into broader themes about how the human mind perceives space and structure. Escher’s art serves as a springboard for discussing how geometry, often thought of as abstract and formal, can be visually vibrant and conceptually playful.

    Throughout the text, readers are encouraged to appreciate how Escher’s imagery not only plays with visual paradoxes but invites a willingness to consider multiple perspectives simultaneously — a theme with deep resonance in non-Euclidean geometry and spatial reasoning. There’s also a conversation about how such visual explorations can inspire geometric creativity and reframe the way we look at patterns, proportion, and dimensionality in both art and mathematics. The author hints that future posts will build on these provocations, particularly around non-Euclidean geometry and related artistic interpretations.

    3 interlocking Escher-inspired reptile tiles

  • Thanks for exploring these highlights from GeometryCode.com’s January archives!

Filed Under: 2012 Bulletins, 2013 Bulletins, 2014 Bulletins, 2015 Bulletins, 2D Geometries, 3D Geometries, coloring books for adults, Fibonacci Numbers, Fractal Geometry, golden ratio, polyhedra, sacred geometry animation, sacred geometry architecture, sacred geometry art, sacred geometry books, sacred geometry calendars, sacred geometry metaphysics, sacred geometry news, sacred geometry toys, sacred geometry videos

A few German sacred geometry books available for shipping costs only

Sunday, 2 November 2025 by Bruce Rawles

Update 2 November 2025: We’ve been back in Oregon for a few weeks, 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!


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, Portland, OR 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, Hillsboro, Oregon, 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

GeometryCode.com Survey

Friday, 1 December 2023 by Bruce Rawles

Thanks to all of you for your continued and ongoing support of this labor of love website!

It has been quite a while since we’ve had a reader survey or poll! Here are the results of the last one from the turn of the millennium:

 

Here’s an opportunity to share your geometric interests, passions, curiosities, favorite topics, and whatever you think will be helpful, useful, and fun!

Please share your interests, wish lists, and thoughts on existing and unexplored subjects via this survey to help guide our content priorities.

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Filed Under: 2D Geometries, 3D Geometries, 4D Geometries, applications, Archimedean Solids, audio, coloring books for adults, Fibonacci Numbers, Fractal Geometry, golden ratio, Hermetic Laws, modern physics, Numbers and Proportions, Platonic Solids, polyhedra, sacred geometry animation, sacred geometry apps, sacred geometry architecture, sacred geometry art, sacred geometry books, sacred geometry calendars, sacred geometry coloring books, sacred geometry interviews, sacred geometry jewelry, sacred geometry physics, sacred geometry toys, sacred geometry videos

Googled Geometries – and Free German sacred geometry books (limited supply, time)

Wednesday, 31 May 2023 by Bruce Rawles

Sometimes it’s fun to just let Google find geometric artistry and allow serendipity to serve up fascinating imagery rooted in inspiration from geometry. Here are a few finds du jour; if you find interesting examples (including your own) please send links or images my way. Thanks!

Google search results: geometric art

 

Google search results: 3d-printed geometric art

 

Google search results: 3d-printed geometric art - lamps

Google search results: 3d-printed polyhedra

My intent here is to fuel your geometric curiosity; try googling your favorite niches and/or interests combined with the word geometry and see what you find! Here is a book that looks interesting:

I believe the cover art for this Math Art book may be (or very likely inspired by) the 3D printed artistry of Bathsheba previously featured here on GeometryCode.com

In addition to Google, try the “Search this website” function in the upper right corner (laptop and larger screen sizes; scroll down to find on mobile devices) to see if I’ve already covered a geometric interest, since I’ve been posting on this site since 2007, and publishing geometric art books a decade prior to that, and collecting and exploring the subject a few decades before that!

We’re in the process of moving to another state (details soon) so I’m anticipating having more time to do in-depth posts after our move. So, 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:

FREE German sacred geometry books

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 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, 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

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

Monthly miscellany for mathematical musing

Sunday, 30 April 2023 by Bruce Rawles

Bubble colors (close up, hue shifted)

  • Thanks to fellow geometer, James Barrett, for this interesting update about tiling patterns: Newly discovered ‘einstein’ shape can do something no other tile can do.
  • A portion of this Coast-to-Coast program is on crop circles, which have exhibited some amazing geometries for decades.
  • The Quantum Revolution (12 episodes): “Gaia is proud to present a comprehensive series from Nassim Haramein who offers a quantum revolution to the way we think about the universe, quantum mechanics, consciousness, and our spiritual connection.” Geometry and physics are inexorably linked! I attended one of Nassim’s fascinating all-day workshops a couple decades ago, give or take.
  • 2022’s Biggest Breakthroughs in Math; one example: like 3D creatures able to discern situations that Flatlanders can fathom, sometimes we just need to add another dimension – in this case to solve a bubble problem.
  • Sacred Geometry circle art and some helpful how-to “Geometryptamine” construction videos by Zak Korvin.

golden spirals from pentagram fractal by Geotryptamine

Similar golden ratio, pentagram/pentagon, spiral constructions – with numerous variations! – are on pages 146-156 (among others) of Sacred Geometry Design Sourcebook.

Filed Under: 2D Geometries, 3D Geometries, 4D Geometries, coloring books for adults, Fractal Geometry, golden ratio, modern physics, Platonic Solids, sacred geometry art, sacred geometry books, sacred geometry coloring books, sacred geometry news, sacred geometry physics, sacred geometry videos

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